The mass when L = 0.6 is given as follows:
M = 68.57 kg.
How to obtain the mass of the cube?The mass of the cube is modeled according to a proportional relationship, as follows:
M = kL.
In which k is the constant of proportionality.
The mass the cube is 40 kg when the length of its edge is 35 cm = 0.35 m, hence the constant is obtained as follows:
0.35k = 40
k = 40/0.35
k = 114.28.
Hence the mass when L is of 0.6 m is given as follows:
M = 114.28 x 0.6
M = 68.57 kg.
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What is the formula for the sum of exterior angles in a polygon?
The sum of a regular polygon's exterior angles will always equal 360 degrees.
What is exterior angles?Exterior angles are those that are parallel to a polygon's inner angles but are on the outside of it. The sum of two internal opposite angles equals the measure of an exterior angle. The Exterior Angle is the angle formed by any side of a shape and a line drawn from the opposite side. Another example: When we add up the Interior Angle and Exterior Angle we get a Straight Angle (180°), so they are "Supplementary Angles". An exterior angle of the triangle is a nonstraight angle (one that is not just an extension of a side) outside the triangle but adjacent to an interior angle (Figure 1 ).
Here,
The sum of the exterior angles of a regular polygon will always equal 360 degrees.
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given 3x+2y=8 what equation represents the line parallel to the given equation and passes through the point (-2,5).
Answer:
y = -3/2 x + 2
Step-by-step explanation:
3x + 2y = 8
2y = -3x + 8
y = -3/2 x + 4
slope of given line = m = -3/2
Parallel lines have equal slopes.
Slope of parallel line through point (-2, 5), m = -3/2.
y = mx + b
m = -3/2
y = -3/2 + b
point: (-2, 5)
5 = (-3/2)(-2) + b
5 = 3 + b
b = 2
Equation: y = -3/2 x + 2
Simplify the expression
using only positive exponents.
The expression is simplified to y⁹/12x². Option A
What are index forms?The index form of a number is simply described as a number written as an exponential expression.
It is described as a single number raised to another number.
Index forms are also described as standard forms and scientific notation.
From the information given, we have;
3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²
Now, expand the bracket of the denominator and multiply the values
3x^⁻⁴y⁵/2x⁶y⁻¹⁴
Divide the expression , we have;
3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)
To determine the quotient, subtract the exponents of the denominator from the numerators
3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)
Now, add or subtract the exponential values, we get;
-12 (x⁻²y⁻⁹)
y⁹/12x²
Hence, the value is y⁹/12x²
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I don’t really understand how to do this! Please someone helppp! The question is : What is the slope of the line?
The points O, P, Q and R all lie on the same line segment, in that order, such that the ratio of OP : PQ : QR is equal to 1 : 1 : 3. If OR = 10, find OQ.
Answer:
OQ = 4
Step-by-step explanation:
the ratios of the segments OP : PQ : QR = 1 : 1 : 3 = x : x : 3x ( x is a multiplier)
then
OP + PQ + QR = OR , that is
x + x + 3x = 10
5x = 10 ( divide both sides by 5 )
x = 2
Then
OQ = OP + PQ
= x + x
= 2x
= 2 × 2
= 4
greg has 128 books this is 4 times as many book as sarah
Answer:512
Step-by-step explanation:
Help please it’s asking me to solve a side
Answer:
5) x = 5
6) x ≈ 51.47
Step-by-step explanation:
It looks like you're being asked to solve for x the equations ...
sin(30°) = x/10cos(39°) = 40/xSolutionThese are solved in the way any such equation is solved, though you need a calculator to find the values of the trig functions.
5) sinMultiply by the denominator:
x = 10·sin(30°) = 5
6) cosMultiply by x, then divide by cos(39°):
x = 40/cos(39°) ≈ 51.47
How do you solve y =- 2x 6?.
We can find the solution of y = -2x + 6 by graphing the equation by plotting the intercepts of the equation.
Here we can solve the equation by calculating the x and y intercepts of the equation.
This is done by equating the other coordinate to 0 to get the intercept.
For the x-intercept, we will take y to be 0 to get
-2x + 6 = 0
or, 2x = 6
or, x = 3
Hence one intercept will be (3 , 0)
For the y-intercept, we will let x be 0 to get
y = 6
Hence getting the other intercept to be (0 , 6)
Now we can plot the graph by simply plotting these points and drawing a straight line passing through it
To get any unique solution, another equation needs to be plotted and the intersection point of the 2 lines will give us the required answer.
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Complete Question
How do you solve y = -2x + 6?
Ryan got 7/8 problems correct
on the test. Sam got 80%
correct. Who got a better
score?
Answer:
Ryan did
Step-by-step explanation:
7/8 is .875 which is about 87
To compare the score of Ryan and Sam, we need to convert the fractions to decimals.
Ryan got 7/8 problems correct, which is equivalent to 0.875 when expressed as a decimal.
Sam got 80% correct, which is equivalent to 0.8 when expressed as a decimal.
So, Ryan got a better score
How to solve the system by substitution?
Answer:
Solving a system of equations by substitution involves isolating a variable in one equation, then substituting that expression into the other equation. This allows you to solve for the remaining variable in one equation and then substitute it back into the first equation to find the solution for the other variable.
Here is the general process for solving a system of equations by substitution:
Isolate a variable in one of the equations. This is typically done by adding or subtracting one of the variables from both sides of the equation.
Substitute the isolated expression into the other equation by replacing the corresponding variable with the expression you found in step 1.
Solve the new equation for the remaining variable.
Substitute the value you found for the remaining variable back into the first equation and solve for the other variable.
Check your solution by substituting the values you found for the variables back into both equations to make sure they are true statements.
Write your solution in the form of an ordered pair (x, y)
An example of solving a system of equation by substitution :
2x + 3y = 8
4x - 3y = 2
Isolate a variable in one of the equations, for example:
3y = 8 - 2x
Substitute this expression into the other equation:
4x - 3(8 - 2x) = 2
Solve the new equation for the remaining variable:
4x - 24 + 6x = 2
10x = 26
x = 2.6
Substitute the value you found for x back into the first equation and solve for y:
2(2.6) + 3y = 8
5.2 + 3y = 8
3y = 2.8
y = 0.93
Check your solution by substituting the values you found for the variables back into both
I DEF~GHF, find the value of x and y
Answer:
x = 8y = 35Step-by-step explanation:
Given similar triangles DEF and GHF, and side lengths DE = 6, EF = 10, GH = 21, FG = 28, you want the lengths of y=FH and x=FD.
ProportionCorresponding sides of similar triangles are proportional. This means ...
DE/GH = EF/HF = FD/FG
6/21 = 10/y = x/28
We can multiply by 28 to solve for x:
x = 28(6/21) = 8
Multiplying by 21y/6 will give the value of y:
y = (21/6)(10) = 35
The values of x and y are 8 and 35, respectively.
__
Additional comment
These are both 3-4-5 right triangles. The smaller is multiplied by 2; the larger is multiplied by 7 to give 6-8-10 and 21-28-35 triangles.
What is a 60 60 60 degree triangle?.
Answer:
Step-by-step explanation:
Equiangular triangle
pls help :(
y= _x +_
Find the equation of the line
hi, I'm no bot just in case...
the grapgh of the line shows y intercept of -9 and rate of change by 4
SoThe equation of the lline will be: [tex]y=4x-9[/tex]
A triangular tract of farm land has sides of length 2.1 miles, 1.8
miles, and 2.7 miles. If a bag of fertilizer covers 0.2 square
miles, how many bags of fertilizer are needed to cover the area
of the triangle? Round your answer to the nearest whole
number. NEED THIS ASAP TYSM
Answer: we would need 7 bags of fertilizer to cover the area of the triangle.
Step-by-step explanation:
To find the area of a triangle, we can use Heron's formula. Heron's formula states that the area of a triangle can be found by taking the square root of the semi-perimeter multiplied by the difference of the semi-perimeter and each side length.
The semi-perimeter of the triangle is (2.1+1.8+2.7)/2 = 2.7
The area of the triangle is sqrt(2.7*(2.7-2.1)(2.7-1.8)(2.7-2.7)) = sqrt(2.70.60.9*0) = 1.35
Each bag of fertilizer covers 0.2 square miles, so we need to divide the area of the triangle by the area covered by each bag to find how many bags are needed: 1.35 / 0.2 = 6.75
Rounding up to the nearest whole number, we would need 7 bags of fertilizer to cover the area of the triangle.
How do you write eight more than a number?.
To write 8 more than a number, we use the mathematical operation of addition and the notation 8+ Number = N+8.
To write 8 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.
In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 8 + Number = N+8.
This notation means that we are adding 8 to a number, which results in N+8. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+8.
Another way to write 8 more than a number is to use the phrase "8 plus a number". This phrase indicates that we are adding 8 to a number to get N+8.
Therefore, In short, to write 8 more than a number, we use the mathematical operation of addition and the notation 8 + Number = N+8. This means that we are adding 8 to a number, resulting in N+8. It can also be written as "8 plus N", indicating the same operation.
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At KFC, the kitchen taff baked 25 chicken leg and 50 wing. The taff had to prepare platter for an office lunch. If each platter will have the ame number of leg and wing, what i the greatet number of platter they can make?
So, each platter will have 25 legs and 25 wings.
To determine the greatest number of platters the kitchen staff can make, you need to find the least common multiple of 25 and 50. This is because each platter must have the same number of legs and wings, so you need to find the smallest number of legs and wings that can be divided evenly into both 25 legs and 50 wings.
The least common multiple (LCM) of 25 and 50 is 50. This means that the greatest number of platters the kitchen staff can make is 50/25 = 2 platters.
Therefore, each platter will have 25 legs and 25 wings.
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Find the least frequent multiple of 25 and 50 to determine the maximum number of platters the kitchen staff can produce. Finding the fewest number of legs and wings that can be equally divided into 25 legs and 50 wings is necessary because each platter must have the same number of legs and wings.
25 and 50 have a least common multiple (LCM) of 50. The maximum amount of platters the kitchen staff is capable of producing is 50/25, or 2 platters.
Therefore, there will be 25 legs and 25 wings on each plate.
A contruction manager need 12 worker to complete a building project in 54 day. If the building project need to be completed in 36 day how many more worker doe the contruction manager need to complete the project
To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.
If 12 workers can complete a building project in 54 days, to determine this we can divide the rate of work by the number of workers by the number of days: 12 workers / 54 days = 0.2222 workers/day.
If the construction manager wants to complete the project in 36 days, he needs to increase the rate of work to complete the project in that shorter timeframe. To do this, he can add more workers or increase the productivity of the current workers.
To determine how many more workers the manager needs, we can use the formula:
(number of workers) = (rate of work) x (number of days)
By plugging in the desired rate of work and number of days, we get:
(number of workers) = (0.2222 workers/day) x (36 days) = 7.999 workers
To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.
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How do you write an algebraic expression for equivalent expressions?.
To write algebraic expression for an equivalent expressions, we need to be sure that each side of the equal sign amounts to the same number. An example of an equivalent equation would be:
4x + 2 = 2(2x + 1)
An algebraic expression is a sequence of numbers, variables, mathematical operations, and sometimes exponents. For example, 4x + 3 is a basic algebraic expression. Also see there is no equal sign in the algebraic expression. If so, it can be an equation or set of numbers containing one or more variables.
Equivalent Expressions: Equivalent expressions are expressions that look different but have the same value. Writing the equivalent formula makes it easier to work with and solve. Two Ways to Write the Equivalent Expressions :
1) Write expression using the distributed property:
Find the greatest common factor (GCF) of the distribution.Put the GCF outside the brackets and the other terms inside like, ab( c+ d).2) Write equivalent expressions by combining same terms. Same terms are terms that have the same variables raised to the same powers. For example, the list shows several pairs of similar terms, 4t and 5t ; 9k³and 2k³ ; 1.4xy and 6.7xy.
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What can you observe in the graph of a logarithmic function?.
The logarithmic function is inverse of expontial function that why graph of logarithmic function is draw according to features of expontial function.
The logarithmic function [tex] f(x) = log_{b}(x) [/tex] is the inverse of the exponential function y=bˣ. Clearly, the logarithm function must have domains and limits of (0, ∞) and (−∞,∞). The logarithmic function can be graphed by examining the graph of the exponential function and swapping x and y. Graphs of exponential functions f (x) = bˣ or y = bˣ include the following features:
The domain of exponential is real (-∞,∞). The range is also a positive real number (0, ∞).The graph of an exponential function usually passes through the point (0, 1). This means that the y-intersection is at pt. (0, 1).The graph of the exponential function f(x) =bˣ has a horizontal asymptote at y = 0.Exponential graphs decrease from left to right when 0 < b < 1, in which case they are called exponential decays.If the basis of a function f(x) = bˣ , b> 1, its graph grows from left to right and is called exponential growth.For example, the graph above represents a logarithmic function, [tex] f(x) = log_{2}(x) [/tex].
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Find the x-intercept and y-intercept of the line.
7x-5y=35
Answer:
Step-by-step explanation:
The x -intercept is the point where y = 0 so:
7x - 5(0) = 35
x = 35/7 = 5
x-intercept is at (5, 0)
The y -intercept is the point where x = 0 so:
7(0) - 5y = 35
y = 35/-5 = -7
x-intercept is at (0, -7)
Answer:
x (5, 0)
y (7, 0)
THE FIRST PERSON TO GET THIS RIGHT GETS 10 POINTS AND BRAINLIEST! MUST BE RIGHT AND IF THE ANSWER IS YES, THEN ALSO ANSWER WHAT IS THE CONSTANT OF PROPORTIONALITY
Answer:
No
Step-by-step explanation:
What is the solution of 3x 4y 12?.
(0,3) , (4,0) are two solution of equation 3x + 4y = 12.
An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts, separated by an equal sign (=), with the expressions on either side representing the same value.
Given Linear equation in two variables:
3x + 4y = 12 ----( 1 )
Substitute x = 0 , in equation ( 1 ) ,
3 × 0 + 4y = 12
=> 4y = 12
=> y = 12/4
y = 3
Therefore ,
( x , y ) = ( 0 , 3 )
Substitute y = 0 in equation ( 1 ) ,
3x + 4 × 0 = 12
=> 3x = 12
=> x = 12/3
x = 4
Therefore,
( x , y ) = ( 4 , 0 )
Required two solutions are ( 0 , 3 ) , ( 4 , 0 )
Therefore, (0,3) , (4,0) are two solution of equation 3x + 4y = 12.
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ABCD is a rhombus. If AB=26 and BD=20, find AE
In the given Rhombus ABCD, the measure of side AE = 27.85.
What is Area of a Rhombus?Verify that the two diagonals are parallel to one another. The diagonal lines are parallel. A rhombus is what it is. The parallelogram is a rectangle, rhombus, and square since the diagonals are all congruent and perpendicular to one another.
Area can be used to determine the area of a rhombus because it is a parallelogram, and its area can be determined from the length of its base and perpendicular height.
Here, we construct an alternate formula for the area of a rhombus that uses the lengths of its diagonals. Find the length of the other diagonal if one of the diagonals is 8 units long. We already know how to compute the area of a rhombus using its diagonals: Area = (1/2) (diagonal1 diagonal2) 256 = (1/2) (8 diagonal2).
AB = 26
BD = 20
BD/2 = 10
Using Pythagorean theorem:
[tex]AE = \sqrt{26^2 + 10^2}[/tex]
AE = 27.85
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The length, width and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it has a volume of 48 cm3?.
The rectangular prism's dimensions are 3:2:1 in terms of length, breadth, and height. The prism's length can be computed as 24 cm using its volume, 48 cm3, as input.
Volume = Length × Width × Height
48 cm3 = L × 2 × 1
L = 24 cm
A rectangular prism is a solid 3D object that has six faces, eight vertices and twelve edges. The length, width and height of a rectangular prism can be expressed in a ratio of 3:2:1 respectively. Knowing this ratio and the volume of the prism, which is 48 cm3, it is possible to calculate the length of the prism. To calculate the length of the prism, first the volume of the prism must be expressed in terms of the length. This can be done by using the formula Volume = Length × Width × Height. Therefore, 48 cm3 = L × 2 × 1. Solving this equation for L gives the length of the prism as 24 cm. Therefore, the length of the rectangular prism with a volume of 48 cm3 and a ratio of 3:2:1 is 24 cm.
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[tex] \sqrt{200} \times \sqrt{2} [/tex]
help me please
Work Shown:
[tex]\sqrt{200} \times \sqrt{2}\\\\\sqrt{200 \times 2}\\\\\sqrt{400}\\\\\sqrt{20^2}\\\\20\\\\\text{Therefore, }\sqrt{200} \times \sqrt{2}=20\\\\[/tex]
The rules I used were:
[tex]\sqrt{A}*\sqrt{B} = \sqrt{AB}\\\\\sqrt{A^2} = A \ \ \text{ where } A \ge 0\\\\[/tex]
Alexis bought X boxes of cereal for $3 each and paid with a $20 bill. Which expression represents the total amount of change she should receive?
The expression that represents the total amount of change she should receive is y = 20 - 3x.
What is linear expression?An algebraic expression that uses either a constant or a variable raised to the first power for each term is known as a linear expression. This means that none of the exponents can be greater than 1.
The price of x boxes of cereal $3 each = 3x
Let y be the extra cash she paid
Total cash she paid = $20
Then we have
3x + y = 20
And for expression that represents the total amount of change she should receive
y = 20 - 3x
Thus, The expression that represents the total amount of change she should receive is y = 20 - 3x.
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Can someone please explain how to solve it??
Answer:
this is answer ️️️️️️
The volume of a cube is 8 in³. What is the length of one side?
Answer:
2 in
Step-by-step explanation:
If im not wrong, each side should be 2 inches, as it would have to be 2x2x2 for a volume of 8 inches cubed
How to find the missing sides of a special right triangle 45 45 90?.
Using the pythagorean theorem: The length of the sides of a 45-45-90 triangle can be easily solved using the pythagorean theorem because it is a right angle triangle.
Recall the formula for the Pythagorean theorem: a 2 + b 2 = c 2; a 2 + b 2 = c2.
In the Pythagorean theorem, WHAT IS A?To determine the value of (mostly) the hypotenuse in a right triangle, the Pythagorean theorem uses the formula a2+b2=c2. The "non-hypotenuse" sides of the triangle (opposite and adjacent) are a and b.
In layman's terms, what exactly is the Pythagorean theorem?The well-known geometric theorem known as the Pythagorean theorem states that the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the squares on the legs of a right triangle. This is known as a2 + b2 = c2.
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What is partial sum limit?.
A partial sum limit is the sum of the series.
A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit.
A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums.
When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.
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