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Veronika [31]
3 years ago
12

What scale factor was applied to the first rectangle to get the resulting image? The answer is a decimal. The big rectangle is 2

.5 and the smaller one is 0.5
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
Scale factor is always (new/original)

so it depends which rectangle came first. if it started as large and was dilated to the smaller one, then the ratio is (.5/2.5) which simplifies to 1/5 or 0.2.
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A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
ycow [4]

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

Male = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Male = 9C3

Male = \frac{9!}{3!(9-3)!}

Male = \frac{9!}{3!(6)!}

Male = \frac{9 * 8 * 7 * 6!}{3!6!}

Male = \frac{9 * 8 * 7}{3!}

Male = \frac{9 * 8 * 7}{3*2*1}

Male = 84 ways

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

Female = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Female = 7C2

Female = \frac{7!}{2!(7-2)!}}

Female = \frac{7!}{2!(5)!}

Female = \frac{7 * 6 * 5!}{2!5!}

Female = \frac{7 * 6}{2!}

Female = \frac{42}{2*1}

Female = 21 ways

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

Total = 84 * 21

Total = 1764 ways

4 0
3 years ago
What is the value of this example? <br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%7C%20%20%5Cdiv%2012" id
stepan [7]

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Step-by-step explanation:

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antiseptic1488 [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
Out of every 6 students surveyed, 1 listen to country music. At that rate, how many students in a school of 1200 listens to coun
Degger [83]

Answer: 200

Step-by-step explanation:

1200 divided by 6 = 200

6 0
4 years ago
In ΔSTU, the measure of ∠U=90°, the measure of ∠T=47°, and ST = 7.2 feet. Find the length of US to the nearest tenth of a foot.​
Sauron [17]

Answer:

US=5.3\ ft

Step-by-step explanation:

we know that

In the right triangle STU

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sin(T)=\frac{US}{ST}

substitute the values

sin(47\°)=\frac{US}{7.2}

US=(7.2)sin(47\°)=5.3\ ft

7 0
3 years ago
Read 2 more answers
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