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damaskus [11]
3 years ago
12

You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of th

e incline plane is 10 ft from the shelving unit. What is the length of the incline​ plane?

Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

11.66 ft

Step-by-step explanation:

-This a Pythagorean Theorem problem

-Let X be the length of the incline plane.

#X can be found using the Pythagorean theorem  identity:

b^2+h^2=H^2\\\\6^2+10^2=X^2\\\\X^2=136\\\\X=\sqrt{136}\\\\=11.66\ ft

Hence, the length of the incline is 11.66 ft

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3 years ago
Please complete z2+9z-90=(z-6)(z+?) ...?
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4 years ago
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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

Probability:

p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0
3 years ago
The window is 60 inches wide. What is the width of the window in feet.
blsea [12.9K]

Answer:

5feet

Step-by-step explanation:

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1 inches = 1/12 feet

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8 0
3 years ago
HELP BEFO 7 PLEASE...
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160ft3

Hope this helps

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2 years ago
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