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OLga [1]
3 years ago
7

A rectangle is 6 ft long and 11 ft wide. What is the length of the diagonal of the rectangle?

Mathematics
2 answers:
Natali5045456 [20]3 years ago
6 0

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

statuscvo [17]3 years ago
6 0

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

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B

Step-by-step explanation:

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3 years ago
A total of 200 10-year-old children of similar intellectual abilities participated in a noise experiment in their classrooms. Th
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Answer:

The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.

Step-by-step explanation:

In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.

The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.

This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.

This ability was made to depend on whether there was noise or no noise outside their classrooms.

Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.

Hope this Helps!!!

6 0
3 years ago
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S
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Step-by-step explanation:

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Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}, using \pi=3.14 as requested in the problem.

Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

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8 0
3 years ago
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