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pogonyaev
2 years ago
13

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

Answer:

41 units

Step-by-step explanation:

Pythagorean's  theorem,

Hypotenuse² = base² + adjacent²

Diagonal² = length² + width²

                 = 40² + 9²

                 = 1600 + 81 = 1681

Diagonal = √1681 = 41 units

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scZoUnD [109]

Answer:

∴ The value is 12 units

Step-by-step explanation:

From Geometric Mean Theorem we know that,

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.

The length of the altitude is the geometric mean of the lengths of the two segments.

So, Above theorem apply in the diagram;

\frac{ST}{RT}=\frac{RT}{TQ}

Plug RT=x , ST=9 and TQ=16 from diagram;

\frac{9}{x}=\frac{x}{16}

x^{2} =9\times 16

x^{2} =144

x=12

∴ The value is 12 units

4 0
3 years ago
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Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction an
djverab [1.8K]

Answer (x represents the first direction and the y represents the second direction):

  1. (x - 3) × (y + 5)
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I hope this helps!

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3 years ago
Complete the proof using paragraph or two-column, or flow. Please help me! Answer ASAP!
Alenkasestr [34]

The answer is in the photo. Hope this helps

4 0
2 years ago
Find the area. The figure is not drawn to scale. Please show work
Irina-Kira [14]

Answer:

13.8 square feet

Step-by-step explanation:

To find the area of a triangle you use the formula a = 1/2 bh

a = 1/2 (6.9) (4) = 13.8

(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8

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3 years ago
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We have to find the number of ways an employer send 3 employees to a job fair if she has 11 employees.

This is the problem from combination.

The formula for combination is given by

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A is the correct option.


6 0
2 years ago
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