Which of the following could represent the scale factor of the smaller figure to the larger figure?4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5

Answers

Answer 1

Answer:

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get $(20\pi *yd^(2) )/(125\pi *yd^(2) )$ . Simplifying it would leave $(4)/(25)$ . But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is $(2)/(5)$ . The answers would be 2:5 and 6pi:15pi.

Answer 2

Answer:

Answer:

6π : 15π

2 : 5

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The sun of two number is 23. Their difference is 9. Write a system of equations to represent the situation. What are the two numbers?

Answers

Let one number be x
and second number be y
ATQ
x + y = 23 ---> 1st equation
similarly,
x - y = 9 ----> 2nd equation
( adding y on both sides )
x = 9 + y -----> 3rd equation
Substituting 3rd equation in 1st equation or substituting value of x in 1st equation.
9 + y + y = 23
( adding like terms on each side)
9 + 2y = 23
( subtracting 9 from both sides)
2y = 23 - 9
2y = 14
( Dividing 2 from both sides )
y = 7

Substituting value of Y in 1st equation
x + 7 = 23
( subtracting 7 from both sides )
x = 16

So, two numbers are 7 & 16
or
x = 16 & y = 7

Hope this helps you :)

x+y=23
x-y=9
subtract the second from the first and you get 2y=14
Divide 2 from both side so y=7
and since x+7=23, x=16
so the final answer is x=16, y=7

A square has an area of 36cm2. What is the perimeter

Answers

what times what = 36 like two of the same numbers. then multiply that number by 4 for the number of sides and u get the perimiter. (sry if confusing so ill explain that 6×6=36)

Square root of 36 =6. Squares have all same side lengths

A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d are whole numbers. Find an expression for the perimeter of the piece of fabric. Then find the perimeter when x=2.

Answers

$A=(cx+d)^2=c^2x^2+2cdx+d^2\n\nc^2x^2+2xcd+d^2=16x^2+40x+25\n\Downarrow\nc^2=16;\ 2cd=40;\ d^2=25\n\Downarrow\nc=√(16);\ cd=20;\ d=√(25)\n\Downarrow\n\boxed{c=4\ and\ d=5}\n\nThe\ length\ of\ side:cx+d=\boxed{4x+5}\n\nThe\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\n\nFor\ x=2:\n16\cdot2+20=32+20=\boxed{52}$

Final answer:

The expression for the perimeter of the fabric is P = 16x+20. When x=2, the perimeter is 52.

Explanation:

To find the expression for the perimeter of the piece of fabric, we need to determine the length of each side of the fabric. The given expression for the area of the fabric is 16x^2+40x+25. We can factor this expression as (4x+5)^2. Since a square has all its sides equal, the length of each side of the fabric is 4x+5.

The perimeter of a square is given by the formula P = 4s, where s is the length of a side. Therefore, the expression for the perimeter of the fabric is P = 4(4x+5) = 16x+20.

To find the perimeter when x=2, we substitute x=2 into the expression for the perimeter: P = 16(2)+20 = 32+20 = 52.

Learn more about Perimeter of a square here:

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Why can't you compare 5 minutes in 240 seconds without making some kind of change

Answers

you have to have the same unit of measure. Here your units are "minutes" and "seconds". In order to compare the two, you must change to 240 seconds into minutes (dividing by 60 = 4 mins) OR change the 5 minutes into seconds (multiply by 60 to give you 300 seconds)

What is 91/72 simplified?

Answers

91/72 cannot be simplified anymore, but if you divide (commonly on a calculator), you can achieve the decimal form of the fraction which is, 1.2639 OR, 1 with a remainder of 19.

If you want the mixed number form, you will have to divide the numerator by the denominator. In this case, just use the decimal form or, 1 with a remainder of 19. Your mixed number would be 1 19/72.

When the width of a rectangle with a length of 3/5 foot was decreased by 1/3 foot, the area of the rectangle became 7/25. Find the original width of the rectangle.

Answers

Answer:

$\large\boxed{\text{The original width}\ =(4)/(5)\ ft}$

Step-by-step explanation:

$\text{The dimensions of rectangle:}\ (3)/(5)* w.\n\n\text{The dimensions of new rectangel:}\ (3)/(5)*\left(w-(1)/(3)\right)\n\n\text{The area of the new rectangle:}\ A=(7)/(25)\ ft^2\n\n\text{We have the equation:}\n\n(3)/(5)\left(w-(1)/(3)\right)=(7)/(25)\qquad\text{multiply both sides by 25}\n\n25\!\!\!\!\!\diagup^5\cdot(3)/(5\!\!\!\!\diagup_1)\left(w-(1)/(3)\right)=25\!\!\!\!\!\diagup^1\cdot(7)/(25\!\!\!\!\!\diagup_1)$

$15\left(w-(1)/(3)\right)=7\qquad\text{use the distributive property}\n\n15w-15\!\!\!\!\!\diagup^5\cdot(1)/(3\!\!\!\!\diagup_1)=7\n\n15w-5=7\qquad\text{add 5 to both sides}\n\n15w=12\qquad\text{divide both sides by 15}\n\nw=(12:3)/(15:3)\n\nw=(4)/(5)$

Answer:

The original width is 4/5

Step-by-step explanation:

To find this, note that the new dimensions of the rectangle and 3/5 (lengths) and x - 1/3 (width), in which x is the original width. Now we multiply them together and set equal to 7/25

3/5(x - 1/3) = 7/25

3/5x - 1/5 = 7/25

3/5x = 12/25

x = 4/5

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