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kozerog [31]
2 years ago
13

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. Is Rectan

gle A a scaled copy of Rectangle B? If so, what is the scale factor? Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor? Explain how you know that Rectangle C is not a scaled copy of Rectangle B. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale fact
Mathematics
1 answer:
sergeinik [125]2 years ago
4 0

Rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k = \frac{12}{15} = \frac{4}{5} ← ratio of lengths

k = \frac{8}{10} = \frac{4}{5} ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k = \frac{15}{30} = \frac{1}{2} ← ratio of lengths

k = \frac{10}{15} = \frac{2}{3} ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k = \frac{30}{12} = \frac{5}{2} ← ratio of lengths

k = \frac{15}{8} ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C


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a homeowner wants to carpet two rooms that each measure 12 ft by 15 ft. how many square yards of carpet should be ordered
Lelu [443]

3 feet = 1 yard

12/3 =4

15/3 = 5

4*5 = 20 square yards per room

20*2 = 40 square yards total

7 0
2 years ago
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
tamaranim1 [39]
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2: 
  x       g(x)
  6        862.2
  8        856.8
10        855
12        856.8
14        862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1. 
7 0
2 years ago
Read 2 more answers
Asap pls help and explain
eduard

Answer:

the answer would be 90

Step-by-step explanation:

100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.

3/8 times 240 elves is 90 elves.

If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!

4 0
2 years ago
Find the average value of the function i = 15(1 - e1/2t) from t = 0 to t = 4. A. 7.5(1 + e-2) B. 7.5(2 - e-2) C. 7.5(2 + e-2) D.
klasskru [66]
I think the average value of the function i = 15(1 - e1/2t) from t = 0 to t = 4 is <span>C. 7.5(2 + e-2). The correct answer is letter C.</span>
7 0
2 years ago
N(17+x)=34x−r<br> I need to solve for x
Paraphin [41]

Answer:

The value of x is, x= \frac{17N+r}{34-N}

Explanation:

Given: N(17+x)=34x-r

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If a\cdot(b+c) =a\cdot b + a\cdot c

Now, using distributive property on left hand side of the given expression as:

N\cdot 17+N\cdot x = 34x-r or 17N+Nx = 34x-r

Addition Property of equality state that we add the same number from both sides of an equation.

Add r to both sides of an equation:

17N+Nx+r=34x-r+r

Simplify:

17N+Nx+r=34x

Subtraction Property of equality state that we subtract the same number from both sides of an equation.

Subtract Nx from both sides of an equation;

17N+Nx+r-Nx=34x-Nx

Simplify:

17N+r=34x-Nx

or

17N+r=x(34-N)

Division Property of equality states that we divide the same number from both sides of an equation.

Divide by (34-N) to both sides of an equation;

\frac{17N+r}{34-N}= \frac{x(34-N)}{34-N}

On Simplify:

x= \frac{17N+r}{34-N}





4 0
2 years ago
Read 2 more answers
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