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andrew11 [14]
3 years ago
14

A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rect

angle with greatest area assuming the rectangle is positioned as in Figure 1. Figure1

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:  width = 2.4 in, length = 5

<u>Step-by-step explanation:</u>

The max area of a right triangle is half the area of the original triangle.

Area of the triangle = (6 x 8)/2  = 24

--> area of rectangle = 24 ÷ 2 = 12

Next, let's find the dimensions.

The length is adjacent to the hypotenuse. Since we know the area is half, we should also know that the length will be half of the hypotenuse.

length = 10 ÷ 2 = 5

Use the area formula to find the width:

A = length x width

12 = 5 w

12/5 = w

2.4 = w

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Sam is making a case for his calculator. It is a rectangular prism that will be 5.5 inches long by 2 inch wide by 5 inches high.
White raven [17]

Answer:

97in³

Step-by-step explanation:

L = 5.5, W = 2, H = 5

2(h × W) + 2(h × L) + 2(W × L)

= 2(5*2) + 2(5*5.5) + 2(2*5.5)

= 2(10) + 2(27.5) + 2(11)

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8 0
3 years ago
The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Exp
EastWind [94]

Answer:

8,146 x 121

Step-by-step explanation:

This is a problem in which you need to measure your understading of "orders of magnitude."

If the estimated answer is 800000 that means that we are looking at a multiplication in the "order of" 8*10^5

You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have 8146*12 that would be "of the order of" 8*10^3 times 10^1. So the whole multiplication would "of the order of" 8*10^4 or near 80000

The correct answer, 8,146 x 121, is because it's "of the order of" 8*10^3 times 10^2 and the gives us the 8*10^5 we need.

6 0
3 years ago
CAN SOMEONE HELP ME PLEASE ASAP!?
AfilCa [17]

Answer:

36.1 in.

Step-by-step explanation:

1:19 , 1.9in.

1.9 * 19

which equals 36.1 in.

(HOpe This hElps:)

If correct plz give brainliest ; )

8 0
2 years ago
Read 2 more answers
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
uysha [10]

Answer:

-13

Step-by-step explanation:

6-7 x 6+7

-1 x 13

-13

6 0
2 years ago
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In Maryland, the sales tax is 6%. If you buy a shirt for $38, how much is the tax?
scoundrel [369]

Answer:

$2.28

38x.06

Brainlyest Pls

3 0
3 years ago
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