Answer this functions question

Answer:

E

Step-by-step explanation:

The coordinates where the wood strips cross are (17.11,44). The solution is obtained using the concept of slope of line.

What is slope of line?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics.

The symbols delta y and delta x stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively.

We are given that Hana attaches thin strips of wood from each vertex perpendicular to the opposite edge.

Therefore, the point of concurrency will be in orthocenter.

We are given a triangle with coordinates X(0,0), Y(0,58), Z(36,44)

Now, we will find the slope

Slope(m) = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Slope of XY = (58-0)/0-0 = 0

Slope of YZ = (44-58)/(36-0) = -7/18

We know that slope of line perpendicular to XY is 0

Using point slope form, equation of the altitude perpendicular to XY is

⇒[tex]y-y_{1} = m(x-x_{1} )[/tex]

⇒y-44 = 0(x-36)

⇒y=44

Slope of line perpendicular to YZ is 18/7

Using point slope form, equation of the altitude perpendicular to YZ is

⇒y-0 = 18(x-0)/7

⇒y = 18x/7

Substitute the value of y in the above equation, we get

⇒44 = 18x/7

⇒x = 17.11

Hence, the coordinates where the wood strips cross are (17.11,44).

Learn more about slope of line from the given link

https://brainly.com/question/16949303

#SPJ1

Answer:

24

Step-by-step explanation:

Let x be the original number of people who entered the room

Since 2/3 of the people leave, 1/3 of the people remain = (1/3)x

If 2 more people leave, number of people remaining in the room = (1/3)x - 2

We know this to be 1/4 of the original number = (1/4)x

[tex]\rm{So\;\dfrac{1}{3}x - 2 = \dfrac{1}{4}x\\\\[/tex]

Multiply throughout by 12 to get rid of the denominator

[tex]\rm{So\;12 \left(\dfrac{1}{3}x - 2\right) = 12\left(\dfrac{1}{4}x\right)\\\\[/tex]

[tex]4x - 24 = 3x\\\\\implies x = 24\\\\[/tex]

Original number of people who entered the empty room = 24

The translation is described as -

(x, y) → (x + 10, y + 2).

Given is that quadrilateral G'R'A'M' is a translation of quadrilateral GRAM.

Therefore, the translation is described as -

(x, y) → (x + 10, y + 2).

To solve more questions on Graph translations, visit the link below -

brainly.com/question/12802031

#SPJ1

Answer:

1. 6

2. $14.27

3. 36

4. $691.70

Using the same method, determine the histogram's total area: divide it into rectangles and use the calculation for a rectangle's area to arrive at a total area of 100.The answer 40.

The area below the 40 to 55 line in the histogram must first be located.By using the area of a rectangle, one can determine the area: side side.

This will reveal a 60-square-foot space.

Then, using the same method, determine the histogram's total area: divide it into rectangles and use the calculation for a rectangle's area to arrive at a total area of 100.

You must now apply the rule of three:

The number of people between the ages of 40 and 55 is 25, and that age range corresponds to 60, as indicated by the question's sentence, so:

60 ———- 24

100 ———- x

60•x = 24•100

60x = 2400

x = 2400/60

x = 40

To learn more about histogram's total area refer

https://brainly.com/question/14641515

#SPJ1

The markup percentage for the clarinet is 33.33%

The store buys a guitar at the price of $45

The price tag on the trumpet in the store is $104.

30% in decimal value is approximately 1.3 and so the price should either be multiplied or divided by it to know the store markup and margin.

The store's selling price for the guitar would be $45 x 1.3 = $58.50.

The store paid $104 / 1.3 = $80 for the trumpet.

The store marked up the clarinet by $100 - $75 = $25.

The markup percentage for the clarinet is ($25 / $75) x 100 = 33.33%.

To know more about profit and loss visit: brainly.com/question/13934673

#SPJ4

By using the Pythagorean identities we can find the sine of an acute angle.

What is angle ?

An angle is a measure of rotation about a point or a line. It is a geometric concept that describes the amount of rotation between two lines or planes. Angles are typically measured in degrees or radians.

What is acute angle ?

An acute angle is an angle that measures less than 90 degrees. It is an angle that is smaller than a right angle. Acute angles are commonly found in triangles and other geometric shapes. They are represented by the symbol "α" (alpha) in trigonometry.

What is Pythagorean identities?

The Pythagorean identities are a set of trigonometric identities that are based on the Pythagorean theorem. They relate the sine, cosine, and tangent of an angle to the ratios of the sides of a right triangle. The Pythagorean identities can be used to find the sine of an acute angle by relating it to the ratio of the opposite side to the hypotenuse of a right triangle.

Specifically, the identity [tex]sin^2(x) + cos^2(x) = 1[/tex] can be used to find the sine of an acute angle x by first finding the cosine of x and then subtracting it from 1.

The equation becomes [tex]sin(x) = \sqrt{1 - cos^2(x)}[/tex].

Learn more about acute angle here:

brainly.com/question/10334248

#SPJ4

Step-by-step explanation:

graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2

Answer:

it's c if you are taking pre algerbra 8th on question 5 if ur on flvs

Step-by-step explanation:

line passing through the points (-2,-3) (0,-2)

The formula for area of an acute angle triangle is (½) × b × h

a triangular shape with three acute angles. It indicates that none of the angles are precisely 90 degrees. Any triangle with all interior angles being acute angles is said to have an acute angle triangle. The line traced from the base of the triangle to the opposite vertex of an acute triangle is always perpendicular. The formula for the area of an acute angle triangle is (½) × b × h

Based on the side dimensions and angles of the triangles, one can classify acute triangles into distinct categories. One of them is an equilateral triangle with equal-length sides and interior angles, every sixty degrees in length. A triangle that is equilateral is always sharp. An acute isosceles triangle has two equal sides, and its opposing angles are also of equal length. A scalene acute triangle has uneven sides and internal angles on each of its three dimensions. The sum of all angles is less than 90 degrees.

Read more about acute angle triangles on:

https://brainly.com/question/9340139

#SPJ4

Answer:dddjdvjd

Step-by-step explanation:

mb i just need points\

Answer:

d = 63 degree

e = 96 degree

f = 21 degrees

Step-by-step explanation:

The angle d is the vertical angle theorem with 63 degrees; that is why d is 63 degrees.

The angle e is the vertical angle theorem with 96 degrees; that is why d is 63 degrees.

96 + 63 = 159 degrees

180 - 159 = 21 degrees

So, f = 21 degrees

Answer: the table is proportional and the answer is 2/3

Step-by-step explanation: we can see that the top row goes up by 3 every time the bottom row goes up by 2

this gives us a ratio of 6 : 9

take the 6 and divide it by 3 we get 2

divide 9 by 3 and we get 3

this gives us the fraction 2/3 which is also an answer

gl :)

Answer: To answer your question, since they played 35 games, that means that there were 12 wins, 14 draws, and they lost 9 games. I hope this helps! Sorry for the previous person, they just like to get points.

Step-by-step explanation:

P = 3W + D

50 = 3W + 14  subtract the 14 from both sides

36 = 3W divide both sides by 3

12 = W

Answer: The equation of a line can be written in the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that passes through the point (3, 2) and cuts off equal intercepts on the x and y axes, we can use the following steps:

First, we need to find the slope of the line using the point (3, 2) and the fact that the line cuts off equal intercepts on the x and y axes. Since the line cuts off equal intercepts on the x and y axes, it means that it is a line of symmetry, which means that the slope of the line is zero.

Now we can use the point-slope form of a linear equation which is y-y1 = m(x-x1) and substitute the point (3,2) and the slope (0)

The equation of the line will be y = b where b is the y-intercept.

So the equation of the line which passes through the point (3, 2) and cuts off equal intercepts on the axes is y = 2

The line is a horizontal line passing through the point (3,2) and it cuts the x-axis at y = 2.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Since this is all raise to the -1, we put it under 1.

[tex]\frac{1}{5^{-2}a^{3}b^{-4} }[/tex]  Pull the [tex]5^{-2}[/tex] and [tex]b^{-4}[/tex] from the bottom and put them on top to make them positive [tex]5^{2}[/tex] mean 5x5 or 25

[tex]\frac{25b^{4} }{a^{3} }[/tex]

Answer:

Option 2

Step-by-step explanation:

[tex]=(\frac{a^{3} }{5^{2} b^{4} } )^{-1}[/tex]

[tex]=\frac{1}{\frac{a^{3} }{5^{2} b^{4} } }[/tex]

[tex]=\frac{5^{2} b^{4} }{a^{3} }[/tex]

[tex]=\frac{25b^{4} }{a^{3} }[/tex]

Hope this helps

The circumference of the circle is 67.9.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Given Area of circle=367m^2

as πr^2=367

r=√367/3.14

r=√116.7

r=10.8

Therefore, circumference of circle=2πr

=2*22/7*10.8

circumference of circle=67.9m.

To know more about circle visit the link

https://brainly.com/question/11833983?referrer=searchResults

#SPJ4

The circumference of the circle is 67.9.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Given Area of circle=367m^2

as πr^2=367

r=√367/3.14

r=√116.7

r=10.8

Therefore, circumference of circle=2πr

=2*22/7*10.8

circumference of circle=67.9m.

To know more about circle visit the link

https://brainly.com/question/11833983

#SPJ1

In the given question of inequality, the greater than symbol makes the statement true, 14 > 5/6​.

A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance.

"Less than or equal to," "less than," or "not equal to" are all ways to describe an inequality, which is a mathematical relationship between two expressions.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >, <, or =.

Less than or equal to, larger than, less than, and more than or equal to are the four fundamental inequalities.

Therefore, the correct answer is option b) >.

To learn more about inequality refer to:

brainly.com/question/25275758

#SPJ1

The complete question is:

Which sign makes the statement true?

-2 / 5  ___  -3 / 8

a) <

b) >

c) =

The difference in the account balances at the end of the loan terms is $313.98.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given A homeowner is financing the cost of new windows.  Two lenders have approved the homeowner for a $12,000 loan.

principal  = $12,000

Offer 1:  4.5% annual simple interest, with a total account balance of $14,430 after a 54-month term

Amount of offer 1 = $14,430

Offer 2: 3.75% annual interest compounded monthly for a 66-month term

the amount is given by,

A = [tex]p(1 + \frac{r}{n} )^{nt}[/tex]

nt = 66 months

n = 12

r = 3.75% = 0.0375

p = $12,000

substitute the values in the formula,

A = 12000(1 + (0.0375/12))⁶⁶

A = 12000(1.228665)

A = $14,743.98

Difference in amounts = $14,743.98 - $14,430

The difference in amounts = $313.98

Hence the difference in amounts is $313.98.

Learn more about interest rates;

https://brainly.com/question/29655946

#SPJ1

The equation y = -2x + 5 is already in the standard slope intercept form.

The slope-intercept form is a way of expressing the equation of a straight line in algebraic terms. The equation of a line in slope-intercept form is typically written as:

y = mx + b

Where m represents the slope of the line and b represents the y-intercept, which is the point at which the line crosses the y-axis. The slope-intercept form is useful because it allows you to quickly identify the slope and y-intercept of a line, given its equation. The slope represents the rate of change of y with respect to x, and the y-intercept represents the initial value of y when x is equal to 0. By using slope-intercept form we can easily graph the line and also can find the equation of the line from the graph.

Read more about Slope-intercept form:

https://brainly.com/question/29146348

#SPJ4

The temperature when the plane reached an altitude of 5,000 ft will be 49.7°F.

According to the question,

For every thousand feet, the temperature drops 1.6°F.

So, 5000 feet (five thousand feet) the temperature drop

= (1.6 × 5)°F   ( using multiplication)        

=8°F

The temperature on the ground is 57. 7°F .

The temperature when the plane reached an altitude of 5,000 ft will be

                                = (57.7 - 8)°F        (using subtraction)

                                 =49.7°F

So, when the plane reaches an altitude of 5,000 ft, the temperature will be = 49.7°F.

Read more about subtraction:

https://brainly.com/question/28467694

#SPJ4

Answer:

t=3

Step-by-step explanation:

8t=24

8x3=24

Answer:t=3 I hope this helps good luck

Step-by-step explanation:

8t=24

Divide both sides of the equation by 8

8t divide by 8 = 24 divided by 8

Any expression divided by itself equals 1

t=24 divided by 8

then do this

Calculate the quotient which is

T=3

Step-by-step explanation:

Angle BAD = Angle CDA (Alternative angle)

AD=AD (Common side)

AB=CD (Given)

Thus, the given triangles are congruent by SAS.

It is of the form, ax +by +c = 0, where a, b and c are real numbers, and both a and b not equal to zero. Equations of the form ax + by = 0; where a and b are real numbers, and a, b ≠ 0, is also linear equations in two variable.

Now, According to the question:

Equations of degree one and having two variables are known as linear equations in two variables. It is of the form, ax +by +c = 0, where a, b and c are real numbers, and both a and b not equal to zero.

Equations of the form ax + by = 0; where a and b are real numbers, and

a, b ≠ 0, is also linear equations in two variable.

Solution of a Linear Equation in Two Variables:

The solution of a linear equation in two variables is a pair of numbers, one for x and one for y which satisfies the equation. There are infinitely many solutions for a linear equation in two variables.

For example,  x+2y =6 is a linear equation and some of its solution are (0,3),(6,0),(2,2) because, they satisfy  x+2y=6.

Learn more about Linear Equation at:

https://brainly.com/question/10185505

#SPJ4

If a box contains 6 balls, 1 of which is blue, 3 of which are red, and 2 of which are green, and balls are drawn in succession without replacement until a blue ball is drawn, the probability of drawing a blue ball on the first draw is 1/6, or approximately 0.17.

On the second draw, the probability of drawing a blue ball is 0, since there is only one blue ball in the box and it has already been drawn.

On the third draw, the probability of drawing a blue ball is 0 as well, for the same reason as above.

In general, the probability of drawing a blue ball on any draw after the first one is 0, since a blue ball has already been drawn and removed from the box and there are no more blue balls left in the box.

To learn more about Probability

Visit; brainly.com/question/30034780

#SPJ4

Since there is only one blue ball in the box and it has already been drawn, the chance of drawing a blue ball on the second draw is zero.

For the same reason as above, the likelihood of getting a blue ball on the third draw is also zero.

Since a blue ball has already been drawn and taken out of the box and there are no more blue balls in the box, the chance of drawing a blue ball on any draw following the first one is typically zero.

Multiplication: Decimal point moves right for every 10^n.

Division: Decimal point moves left for every 10^n.

When you multiply a number by a power of 10, the placement of the decimal point shifts to the right by the number of zeroes in the power of 10. For example, if you multiply 2.34 by 100 (102), the result would be 234.0, with the decimal point shifting two places to the right.

When you divide a number by a power of 10, the placement of the decimal point shifts to the left by the number of zeroes in the power of 10. For example, if you divide 234.0 by 100 (102), the result would be 2.34, with the decimal point shifting two places to the left.

Learn more about Decimal point here

https://brainly.com/question/20753759

#SPJ4

Answer:

0.8 4/5 of every people went to college or 80% of the people in titos family

Answer:

To calculate the number of sides of the polygon, divide 360 by the amount of the exterior angle. For example, if the exterior angle is 60 degrees, then dividing 360 by 60 equals 6, which is the number of sides the polygon has.