Mr.smog just bought a big-screen tv set. The screen is 48 in. wide and 27 in. high. Find the lenghth of its diagonal

Answers

Answer 1
Answer: Look\ at\ the\ picture.\n\nUse\ the\ Pythagorean\ theorem:\n\nd^2=48^2+27^2\n\nd^2=2304+729\n\nd^2=3033\n\nd=√(3033)\n\n\boxed{d\approx55\ (in)}
Answer 2
Answer:

Answer:

55

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2

48^2 + 27^2 = (diagonal)^2

2304 +729 = (diagonal)^2

diagonal = 55 inches


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Simplifying Algebraic Exspressions 1) 9(-7b-5)

Answers

If you would like to simplify the algebraic expression, you can do this using the following steps:

9 * (- 7 * b - 5) = 9 * (- 7 * b) - 9 * 5 = - 63 * b - 45

The correct result would be - 63 * b - 45.
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Brinn's rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn's pantry. If the rectangular pantry is 3 feet wide, what is the length of the pantry?

Answers

the length of the pantry is 3 feet. this is because if the pantry is 9 times smaller than the kitchen, the area of the pantry must be 9 feet. Therefore, if the width of the pantry is 3 feet, the length of the pantry must be 3 feet. 

Estimate 2.436 divided by 12

Answers

Use a calculator!
Or if you must, 
2.4 rounded down is 2. 
12 divided by 2 is 6 so the answer would be less than but not greater than 6.

Final answer:

The estimation of 2.436 divided by 12 is approximately 0.203 .

Explanation:

The student wants to estimate the result of 2.436 divided by 12. The number 2.436 is closer to 2, therefore we can estimate it as 2. Now our division problem becomes 2.436 divided by 12. It would be less than 1 since 2 is smaller than 12. However, to get a more exact estimation, we could think of it as if every 1 of the 12 gets 1/6 of the 2, which means each one would get about 0.203. Therefore, 2 divided by 12 is approximately 0.203.

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