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photoshop1234 [79]
2 years ago
7

HELP IM DOIN A MATH TEST AND IM STUCK!!!!! Tim knows the volume In bass area of a wooden chest that is in the shape of a rectang

ular prism. If the volume is 5/24 Of a cubic unit and the base area is 1/5 of a square unit, What is the height of the chest?
Mathematics
1 answer:
ki77a [65]2 years ago
7 0

Answer:

Height is 1 1/24 unit.  

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

(hope this helps can i plz have brainlist :D hehe)

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Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

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<h3>What is the combination formula?</h3>

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

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

Exercise 1, item a:

One letter from a set of 7, hence:

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7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

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7 letters from a set of 7, hence:

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1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

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