Answer:
I think it's -2
Step-by-step explanation:
because it keeps going down by 2 and 4-2=2 so its -2
(Let R, denotes the reflection on y-axis and R2 denotes a rotation of 90° about the center O(0.0), then for any point A(3. 4). find RR, (A).)
The solution of RR(A) is (-3, -4).
What is the reflection and rotation on a point? Reflection and rotation are two types of transformations that can be applied to a point. Reflection is when a point is mirrored across a line of symmetry. The line of symmetry acts as a mirror and the point is flipped across it. This produces a reflection in which the point is now at the exact opposite side of the line of symmetry. Rotation is when a point is spun around a fixed axis. The point can be rotated in either a clockwise or counter-clockwise direction. When the point is rotated, it is still in the same location, only rotated around the axis. Both of these transformations can be used to move a point in a certain direction or to change the shape of an object. Reflections and rotations can be used to create symmetry in a shape or to move a point to a different location. They are both useful transformations that can be used to manipulate the position or shape of an object.To learn more about reflection on y-axis refer to:
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blah blah blah blah blah blah blah blah blah
Answer:
blab blah??
Step-by-step explanation:
thats not a good question tbh
7. Jackie sells hair products on a website. The cost for a customer to subscribe as an online member is $20. She
also sells each hair product for $6.25. Write and solve an equation to determine how many hair products, h, that
she must sell to make a profit of $120.
Equation:
(h x $6.25) - $20 is a equation to figure how how many hair products she needs to sell to generate a profit of $120.
Why do you use the word "profit"?Profit is just the money left over after costs are paid. A loss is deemed to have occurred if the expenses exceeded the income.
A gain is a positive figure, whereas a loss is a negative one.
To determine whether a contract is lucrative or not, the phrases profit and loss are utilized. These words are frequently used in ordinary conversation. If the selling price exceeds the cost price, the difference between the two amounts is known as the profit.
The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:
$120 (profit) = (h x $6.25) - $20 (cost of online membership)
where h is the number of hair products sold.
To solve for h, we can first add $20 to both sides of the equation:
$120 + $20 = h x $6.25
Next, we can divide both sides of the equation by $6.25 to find the value of h:
h = ( $120 + $20 ) / $6.25
h = 20
So Jackie must sell 20 hair products to make a profit of $120.
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(h x $6.25) - $20 is an equation to figure how many hair products she needs to sell to generate a profit of $120.
Why do you use the word "profit"?Profit is just the money that remains after expenses are covered. A loss is deemed to have occurred if the expenses exceeded the income.
A gain is a positive figure, whereas a loss is a negative one.
The terms profit and loss are used to assess how valuable a transaction is. In everyday discourse, these terms are often employed. The difference between the two sums is referred to as the profit if the selling price is higher than the cost price.
The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:
$120 (profit) = (h x $6.25) - $20 (cost of online membership)
where h is the number of hair products sold.
To solve for h, we can first add $20 to both sides of the equation:
$120 + $20 = h x $6.25
Next, we can divide both sides of the equation by $6.25 to find the value of h:
h = ( $120 + $20 ) / $6.25
h = 20
So Jackie must sell 20 hair products to make a profit of $120.
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Write a possible equation for a sine function that has a minimum point at (-3, 0) and a maximum point at (-9, 6).
The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3
From the case, we have:
Minimum point = (-3,0)
Maximum point = (-9,6)
The sinusoidal fuction would be in the form of:
y = A sin (Bx - C) + D
where:
A = amplitudo
B = 2π / Period
C = Phase shift
D = Midline
First, we need to find the amplitudo:
A = (Y max - Y min) / 2
A = (6 - 0) / 2
A = 3
Periode = (X max - X min) x 2
Periode = (-9 - (-3) x 2
Periode = -6
B = 2π / Periode
B = 2π / 6
B = 1/3 π
D = (Y max + Y min) / 2
D = (6 + 0) / 2
D = 3
We can use one point to find the value of C:
0 = 3 sin (π/3 (-3) - C) + 3
0 = 3 sin (π - C) + 3
-3 = 3 sin (π - C)
sin (π - C) = -1
(π - C) = 270
C = -1/2 π
C = - 90
Then the sinusiodal function would be:
y = 3 sin (πx + 90) + 3
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The football team has a total of 50 jerseys. There are 15 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
30%
Step-by-step explanation:
Represent 15 out of 50 in fractions:
15/50
Simplify the fraction if you can and multiply by 100:
15/50 = 3/10
3/10 × 100 = 30%
Is 4 is a perfect number?.
4 is not a perfect number because the sum of its factors (besides 4 itself), 1+2, is less than 4. Numbers like 4 are known as deficient numbers.
In number theory, a natural number is called deficient if it is greater than the sum of its divisors, excluding itself. For example, the number 8 is deficient because its divisors are 1, 2, and 4, and 1 + 2 + 4 = 7, which is less than 8. A number that is not deficient is called abundant.
The concept of deficient numbers was first studied by the ancient Greek mathematician Nicomachus of Gerasa in his work "Introduction to Arithmetic". He classified numbers into three categories: abundant, perfect, and deficient numbers. He defined a perfect number as a number whose divisors (excluding the number itself) sum up to the number and abundant if the sum of divisors (excluding the number itself) is greater than the number.
The study of deficient numbers is closely related to the study of divisors of numbers, which is a fundamental area of number theory. The study of deficient numbers also has connections to other areas of mathematics such as algebraic number theory and the theory of quadratic forms. In addition, the study of deficient numbers has applications in computer science and cryptography.
It is important to note that only a small percentage of numbers are deficient, and the study of deficient numbers is not as widely studied as the study of prime numbers or perfect numbers, but it is still an interesting area of research in number theory.
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What are some of the reasons why our bags would differ from the expected distribution?
The reasons why our bags would differ from the expected distribution are sampling error, measurement error, selection bias, quality control issues, human error, environmental factors and external factors
Reasons why our bags would differ from the expected distribution?There are several reasons why the distribution of bags might differ from the expected distribution. Some possible causes include:
1. Sampling error: If the sample size of bags is small, the distribution of bags may not accurately reflect the overall population.
2. Measurement error: If the bags were not measured or counted correctly, the distribution may be affected.
3. Selection bias: If the bags were not selected randomly or if certain bags were excluded from the sample, the distribution may not reflect the true population.
4. Quality control issues: If there were issues with the production of the bags, such as variations in size or weight, the distribution may be affected.
5. Human error: If mistakes were made in the handling, counting, or measuring of the bags, the distribution may not be accurate.
6. Environmental factors: External factors, such as temperature, humidity, or transportation, could cause changes in the weight of bags.
7. External factors: The distribution could also differ because of external factors such as competition, marketing, seasonality, etc.
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I need some help on this question please with this problem
Answer:
Equation: 4x +(x -5) = 90∠1 = 76°∠2 = 14°Step-by-step explanation:
Given two complementary angles labeled (4x)° and (x-5)°, you want an equation for finding x, and the measures of the two angles.
EquationThe equation will reflect the fact that the angles have a sum of 90°:
4x +(x -5) = 90
SolutionThe equation simplifies to ...
5x -5 = 90
5x = 95
x = 19
∠1 = 4x° = 76° . . . . . . measure of larger angle
∠2 = (x -5)° = 14° . . . . . measure of smaller angle
__
Additional comment
The little square at the vertex of the angles means that is a right-angle corner. Its measure is 90°. The two angles 1 and 2 together make up that right angle. That is the relation you use to form the equation.
Rewriting (simplifying) the sum ...
4x +(x -5) = 5x -5
tells you nothing about the value of x. Any value for x will satisfy this equation. In order to find x, you need to relate this sum to something other than itself. (There is a reason why the angle is marked as a right angle.)
How do you find the mean and standard deviation of data in R?.
An average and standard deviation in R is straightforward. The mean() function calculates the average and the sd() function calculates the standard deviation.
In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.
Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.
The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.
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How do you solve a system of linear equations by multiplying and adding?.
The graphing method is used to solve a system of linear equations by multiplying and adding.
When the solution has integer values and the variable coefficients are small, graphing is effective. When we can quickly solve one equation for one of the variables and the resulting expression doesn't contain a lot of fractions, substitution works well. The Elimination Method is the third strategy for resolving linear equation systems. An elimination method is a different approach for resolving a set of linear equations. Here, in order to get the value of the other variable by having the "x" variable term or the "y" variable term cancel out, we try to multiply either the "x" variable term or the "y" variable term by a fixed amount. When a variable has a power of 1 higher than any other, the equation is said to be linear. a straightTo learn more about linear equations here
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Help 0=x^2-1/3 any method
the value x in this equation will be ±√1/3.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The given equation x² - 1/3 =0
x² = 1/3
taking square root both side
x = ±√1/3
Hence the value x in this equation will be ±√1/3.
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The equation of a circle is (x-10)^2+(y-8)^2=256
What is the center of the circle?
equation of circle : (x - h)² + (y - k)² = r²
h = x coordinate of center
k = y coordinate of center
hence h = 10, k = 8
center - (10 , 8)
I'lll give brainliest for the correct answer!! <3
C.) right and isosceles, but not equilateral
Answer:
C.) right and isosceles, but not equilateral
Step-by-step explanation:
In a right angled triangle, the lenght of the right angle is 11 and the lenght of the other two sides are positive integers. what is the perimeter of the triangle?
Answer:
66
Step-by-step explanation:
2m = 11
m = 11/2
m = 5.5
m² - 1 = 29.25
m² + 1 = 31.25
The perimeter = 29.25+31.25+5.5 = 66
Each statement describes a transformation of the graph of f(x)=x^3. Which statement correctly describes the graph of y= f(x+3)-9
The graph of f(x) translated 3 units down.
correct option is D.
What is a graph of a function?
The graph of a function is a visual representation of the function that shows the relationship between the input (x) and output (y) values. It is typically plotted on a coordinate plane, with the x-axis representing the input values and the y-axis representing the output values. Each point on the graph corresponds to an (x, y) pair that satisfies the equation of the function.
The given options are:
A. It is the graph of f(x) translated 3 units up.
B. It is the graph of f(x) translated 3 units to the right.
C. It is the graph of f(x) where the slope is decreased by 3.
D. It is the graph of f(x) translated 3 units down.
Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.
Thus, the graph of f(x) translated 3 units down.
correct option is D.
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How do you find the real zeros of a polynomial?.
The Real Zeros of the polynomial can be found by equating the given polynomial to zero(0) .
The polynomial function is a function that involves only non negative integer exponents of a variable in the equation .
For example : 3x+6 is a polynomial which has the exponent equal to 1.
The process to find the real zeros of a polynomial is :
(i) we write the polynomial expression based on what is given.
(ii) Equate the polynomial equal to zero.
(iii) Solve for the variable(s) by using the polynomial factorization.
The degree of the polynomial tells us about the maximum number of distinct zeros that the polynomial can Have . For example, x - 4 has a degree of 1 . Therefore , it has only one real zero .
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HELPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEE
Ethan ordered a bouquet of assorted flowers. It included 3 roses, 4 daisies, and 4 lilies. If only one of the flowers was pink, what is the probability that the pink flower was a rose?
Answer: 3/11
Step-by-step explanation:
first add all the flowers, 3 roses, 4 daisies, and 4 lilies. 3 + 4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there is a 3/11 chance its a rose.
In the equation for acceleration a equal final velocity - original velocity time, how can you decribe acceleration if the numerator i negative
In the equation for acceleration, a, equals final velocity - original velocity/time, acceleration would be negative if the numerator is negative.
The object is slowed down by the acceleration, which is acting against the motion. In this situation, your acceleration is negative. Positive value will be returned if your end velocity is lower than your initial velocity. The equation for acceleration can be related as:
Acceleration, a = [tex]v_{f}[/tex] - [tex]v_{i}[/tex] × [tex]\frac{1}{t}[/tex]
The general equation a = v/t denotes acceleration (a), which determines the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared ([tex]m/s^{2}[/tex]). Since acceleration has both its magnitude and direvtion, it is a vector quantity.
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Why do 3 points define a plane?.
Three points can define a plane in a three-dimensional space.
Because a plane can be defined as a flat surface that extends infinitely in all directions, three points in space are sufficient to specify a plane. A plane can be determined by any three non-collinear points, i.e., points that are not on the same straight line, as long as they are not on the same line. Imagine three points in space, A, B, and C. We draw straight lines from A to C to create a plane. The triangle formed by these lines is a flat surface. A plane can be made by endlessly extending the flat surface in all directions.
The triangle formed by the three points A, B, and C, which are not collinear, extends in all directions to form a plane. A plane is therefore defined by three points. It's crucial to remember that any new point that lies on the same plane as A, B, and C will also be connected to the three defining points by the same straight line.
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Charlotte has some number cards that each
have a whole number on them.
If she chooses a card at random, the
probability that the number on it is even is 4/9
Work out the ratio of even cards to odd cards
that Charlotte has.
Give your answer in its simplest form.
When a die is thrown, getting an even number, The probability of getting an even number when a die is thrown is 1/2.
How do you find the probability of even?Some number cards with a whole number on each are in Charlotte's possession. There is a 4/9 chance that the card she chooses at random will have an even number on it.
Charlotte's balance of even to odd cards. Your response should be as brief as possible. Three out of six, or three-sixths, of a die will provide an even number.
As both the numerator and denominator of this fraction can be divided by three, it can be simplified. A definition of an even number An even integer is one that can be divided by two while leaving a 0 as the final digit. Two, four, six, eight, ten, and other even numbers are examples. The first and present definitions are equivalent.
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write the word sentence as an inequality
A number b multiplied by is at most -3 2/3
Please help,
thank you,
An inequality is b > -3 The symbol > represents "greater than OR equal to".
What is inequality ?The occurrence of an unequal and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different individuals and in various settings, the word "inequality" may indicate different things.B cannot be less than -3, but it can be more than, as it must be at least -3. The greater than sign derives from this. The inequality in word form would be that B is bigger than or equal to -3 since the lowest number you may have is -3 (the number itself still counts).An inequality is b > -3 The symbol > represents "greater than OR equal to".To learn more about inequality refer to:
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A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
For the above case, the graph of the linear equation y = 20 + 10x
Which graph represents this situation?Each solution inside the scenario involving two variables may be thought of as the Cartesian coordinates of a specific point on the Euclidean plane.The answers to a linear equation create a line inside the Euclidean plane, and each line may be considered as the sum of all solutions to a linear model with two variables.
This is how this type of equation became known as “linear.” The solutions to an equation system with integer variables form a hyperplane in Euclidean space with size n (a subdomain of dimension n1).
Because linear equations typically properly reflect nonlinear systems, they are widely employed in all fields.
Mathematics as well as in physics and engineering.
Here the equation is given as y = 20 + 10x
Therefore at x = 0 , y = 20 and at y = 0, x = -2
This represents that the fixed monthly fee is 20 and the daily fee is 10.
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Alyson deposits $500 in the bank for 12 years. The bank offers her a 4% interest rate compounded monthly. How much money will be in her account at the end
of the 12 years? (Remember to round your answer to the nearest cent.)
Answer:
$807.39
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $500r = 4% = 0.04n = 12 (monthly)t = 12 yearsSubstitute the given values into the compound interest formula and solve for A:
[tex]\implies A=500\left(1+\dfrac{0.04}{12}\right)^{12 \cdot 12}[/tex]
[tex]\implies A=500\left(1.00333333...\right)^{144}[/tex]
[tex]\implies A=500\left(1.61478492...\right)[/tex]
[tex]\implies A=807.392461...[/tex]
Therefore, Alyson will have $807.39 (nearest cent) in her account at the end of 12 years.
교
Examining Heat Transfer
Intro
How does the Sun transfer its energy to areas A and B?
Which statement compares how much heat is absorbed
by areas A and B?
Which statement compares the temperatures of areas A
and B?
Done
The Sun transfer its energy to areas A and B by radiation.
The statement compares how much heat is absorbed
by areas A and B : Area A absorbs more heat.
The statement compares the temperatures of areas A
and B : Area A is warmer than area B.
Energy transfer by radiation is a way that energy travels through space without anything touching it. Just like the Sun sends energy to Earth without touching it. The Sun sends energy to Earth in the form of light and heat. This energy travels through the empty space between the Sun and Earth and reaches our planet. When this energy reaches the Earth, it helps plants grow, warms the air and water, and helps create the weather.
Heat absorption is the process by which an object or material takes in or absorbs heat energy from its surroundings. This can happen in a variety of ways, including conduction, convection, and radiation.
The temperature in different areas is determined by a complex interplay of factors, including latitude, altitude, proximity to bodies of water, and local weather patterns. Understanding these factors can help us make predictions about future temperatures and prepare for potential climate change.
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22_23_DC_Gr7_Math_MYA
A car travels 2 miles in 5 minutes at a constant speed. How far did the car travel in 30 minutes?
Running a mile in five minutes is similar to moving at 12 mph (19.4 kph) on a treadmill.
How is miles calculated?
the statutory mile, which has a length of 5,280 feet, is one example of a mile (1.609 km). Its original unit of measurement was the 5,000-foot-long Roman mile passus, often known as the "thousand paces."
Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as d=((x 2-x 1)2+(y 2-y 1)2).
The formula for the distance between the points (a,b) and (c,d) is square root of (a,c)2 + (b,d)2. The distance in three dimensions between points (a, b, c) and (d, e, f) is equal to the square root of (a, d), (b, e), and (c, f)2.
We have,
Car speed = 0.4 miles per minute
We need to find the distance traveled in 30 minutes with a speed of 0.4 miles per minutes.
Speed is given by:
Speed = Distance / Time
Distance = Speed x Time
Distance = 0.4 x 30
Distance = 12 miles
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4. Find the equation of the line passing through the point (3.2) and parallel to line x + 2y = 5
5. Find the equation of the line passing through the point (2,5) and parallel to line x + 3y - 8
Answer:
To find the equation of the line passing through the point (3,2) and parallel to line x + 2y = 5, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
We know that two lines are parallel if they have the same slope. Since the given line x + 2y = 5 has a slope of -1/2, the equation of the line passing through (3,2) and parallel to x + 2y = 5 is y - 2 = -1/2 (x - 3), or simplifying y = -1/2x + 7/2
To find the equation of the line passing through the point (2,5) and parallel to the line x + 3y - 8, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
We know that two lines are parallel if they have the same slope. Since the given line x + 3y - 8 has a slope of 1/3, the equation of the line passing through (2,5) and parallel to x + 3y - 8 is y - 5 = 1/3 (x - 2), or simplifying y = 1/3x + 1/3
It's important to note that the lines are parallel because they have the same slope and different y-intercept, which means that they will never intersect.
Step-by-step explanation:
Choose whether each function represents exponential growth or exponential decay.
The correct statements are given below.
What Is Exponential Growth And Decay?Exponential growth and decay apply to quantities which change rapidly. Exponential growth and decay have been derived from the concept of geometric progression. Quantities that do not change as constant but change in an exponential manner can be termed as having an exponential growth or exponential decay.
Given here:
Now we know For exponential growth, the value of b is greater than 1 (b > 1), and for exponential decay, the value of b is lesser than 1 (b < 1), where b is the growth factor and Exponential Growth f(x) = abˣ and Exponential Decay f(x) = ab⁻ˣ
1) f(x)=3×4ˣ
Clearly b=4>1
Thus the function represents exponential growth.
2) f(x)=4×(1/4)ˣ
Here b=1/4<1
∴ The function represents exponential decay.
3) f(x)=2×(1/2)ˣ
Again here the growth factor is b=1/2<1 , thus the function represents exponential decay.
Similarly for equation 4 we have b=12>1 and thus the function represents
exponential growth.
Hence, equation 1 and 4 represent exponential growth and equations 2 &3 represent exponential decay.
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The base of a right triangle is 48cm and its hypotenuse is 50cm. What will be the areas of the triangle? class 9.
A right triangle is a triangle with one right angle (90 degrees). The hypotenuse of a right triangle is the side opposite the right angle and is usually the longest side of the triangle.
To find the area of the triangle, you will need to use the base and the height of the triangle. In this case, the base of the triangle is 48cm and the height is the length of the side opposite to the right angle.
To find the length of the side opposite to the right angle, you can use the Pythagorean Theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as:
c^2 = a^2 + b^2
where c is the hypotenuse, and a and b are the other two sides.
So, substituting the values we have:
50^2 = a^2 + 48^2
2500 = a^2 + 2304
a^2 = 2500 - 2304
a^2 = 196
a = 14
Area of the triangle = (1/2) * base * height
= (1/2) * 48 * 14
= 336 cm^2
So, the area of the triangle is 336 cm^2
The area of the triangle is 336 cm²
The area of a triangle can be found using the formula:
Area = (1/2) × base × height
In this case, we know the base is 48cm and the hypotenuse is 50cm. To find the height, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (a) is equal to the sum of the squares of the lengths of the other two sides (a and b) in the right triangle.
c² = a² + b²
So in this case, we have:
50² = 48² + b²
Solving for b, we get:
b =√ 50² - 48²
b = √2500 - 2304
b = √196
b = 14 cm
So the height of the triangle is 14cm.
Now we can use this information to find the area:
area = (1/2) ×48 ×14 = 336 cm²
Hence, we can say the area of the triangle is 336 cm²
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9a+3+4+(3a+1)
Write the expression below in simplest form
Please answer hurry
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{9a + 3 + 4 + (3a + 1)}\\\mathsf{= 9a + 3 + 4 + 3a + 1}}\\\text{COMBINE the LIKE TERMS}\\\mathsf{= (9a + 3a) + (3 + 4 + 1)}\\\mathsf{= 9a + 3a + 3 + 4 + 1}\\\mathsf{= 12a + 7 + 1}\\\mathsf{= 12a + 8}\\\\\\\huge\text{Therefore, your answer should be: } \\\huge\boxed{\mathsf{12a + 8}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What are the variable restrictions on the rational equation 2x/5 = x+6/4?
The variable restrictions on the rational equation 2x/5 = x+6/4 are 0,-6/4
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Given;
2x/5 = x+6/4
Now, to find out the restrictions of the variable;
2x/5=0
2x=0
x=0
x+6/4=0
x=-6/4
Therefore, by simplification the restrictions will be 0 and -6/4
Learn more about simplification;
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