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aivan3 [116]
3 years ago
11

Preston is designing a room that will be 10.5 feet long and 8.75 feet wide. He wants to create a scale drawing of the room using

a scale of 0.5 inch = 2.5 feet. What should be the dimensions of the room on Preston’s scale drawing?
a.
2.1 inches by 1.75 inches
c.
0.5 inches by 3 inches
b.
8.5 inches by 6.75 inches
d.
5.25 inches by 4.375 inches
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

Option a.  2.1 inches by 1.75 inches

Step-by-step explanation:

we know that

The scale drawing is

\frac{0.5}{2.5}\ \frac{in}{ft}=0.2\ \frac{in}{ft}

That means ----> 0.2 inches in the drawing represent 1 foot in the actual

To find out the dimensions in inches of the room in the drawing, multiply the actual dimensions in feet by 0.20

so

Length: 10.5\ ft=10.5(0.2)=2.1\ in

Wide: 8.75\ ft=8.75(0.2)=1.75\ in

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Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

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(h,i,j,k,m) implies that:

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Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

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^{n}C_r => ^{n + 4}C_5

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^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

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^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

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