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bekas [8.4K]
3 years ago
13

The length of a rectangle is 6 inches more than its width. If 3 inches are taken from the length and added to the width the figu

re becomes a square with an area of 400 square inches. What are the dimensions of the original figure
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

The dimensions of a square with area 400 are 20 by 20. This means if 3 inches are taken from the length and added to the width, we get the dimensions were 23 by 17. 23 length 17 widths.

You might be interested in
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

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

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

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

r = 5

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

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

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

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

^{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!}

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

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

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

6 0
3 years ago
2.548 rounded to the number 2.55 which place value did Marco round to
JulijaS [17]
The tens place because 4 and 8, 8 is over 5 so u round up then it is 254 rounded to the tens 55
7 0
3 years ago
Read 2 more answers
In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves fast
ki77a [65]

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

7c = 49.5

c = 7.07 km/h

4 0
2 years ago
What is 8 1/2 x 3 = <br>please help​
ludmilkaskok [199]

Answer:

C

Step-by-step explanation:

Convert 8 1/2 to 17/2 and this multiplied by 3 is 51/2. Convert it back to mixed fraction to get 25 1/2.

4 0
3 years ago
Which is the first step in simplifying the expression 2(x + 3) + 5?
mina [271]
I believe the answer would be B
5 0
3 years ago
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