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3 years ago

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Mathematics

2 answers:

77julia77 [94]3 years ago

8 0

The first thing we must do for this case is to calculate the scale factor.

For this, we make the relationship between two parallel sides.

We have then:

$k =\frac{B'C'}{BC}$

Substituting values we have:

$k = \frac{9.5}{3.8}\\k = 2.5$

We are now looking for the value of AB

We have then:

$AB = \frac{A'B'}{k}$

Substituting values:

$AB = \frac{15}{2.5}\\AB = 6$

Answer:

The scale factor is:

$k = 2.5$

The value of AB is:

$AB = 6$

DochEvi [55]3 years ago

4 0

AB is 6 units
Hope this helps

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74% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs? and also what is t

lozanna [386]

Answer:

Thus, 37/50 is the equivalent fraction to 74/100.

Therefore, 37/50 of the animals in the shelter are dogs.

Step-by-step explanation:

Given

Given that 74% of the animals at an animal shelter are dogs.

To determine:

About what fraction of the animals at the shelter are dogs?

Using the equation to find a fraction equivalent to 74%

$\:74\%=\:\frac{74}{100}$

Divide numerator and denominator by 2

$=\frac{\frac{74}{2}}{\frac{100}{2}}\:\:$

Cancel the common factor 2.

$=\frac{37}{50}$

Thus, 37/50 is the equivalent fraction to 74/100.

Therefore, 37/50 of the animals in the shelter are dogs.

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3 years ago

Which account has the highest effective annual interest rate? Account 1: Interest is compounded quarterly at an annual rate of 4

LenKa [72]

Answer:

Account 1 has the highest effective annual interest rate (0.042666142)

Step-by-step explanation:

Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:

EAIR = [(1+r/n)^n ]-1

Where:

r = nominal interest rate

n = number of periods

If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12

SO:

Account 1: Interest is compounded quarterly at an annual rate of 4.20%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142

Account 2: Interest is compounded monthly at an annual rate of 4.15%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535

Account 3: Interest is compounded semiannually at an annual rate of 4.10%

EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025

Account 4: Interest is compounded annually at a rate of 4.25%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425

Since:

0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)

Account 1 has the highest effective annual interest rate 0.042666142

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3 years ago

The key to solving a two-step equation is

vazorg [7]

The answer is A because the x is on the other side of the equation

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3 years ago

Read 2 more answers

Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many

Butoxors [25]

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

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2 years ago

The selling price of a certain collector's item was $10 in 2000 and $15 in 2001. If the selling price of the item follows a geom

iVinArrow [24]

Answer:

Find the rate of change by dividing the value of one term by the value of the preceding term, in your problem:

$15/$10 = 3/2 or 1.5, this is your rate of change

1.5 ($15) = $22.50

Step-by-step explanation:

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3 years ago