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4 years ago

The area of the base of a prism is 125 square units, and it’s height is 5 units. What is the volume of the prism?

Mathematics

2 answers:

sleet_krkn [62]4 years ago

7 0

Answer: OPTION A

Step-by-step explanation:

You can calculate volume of the rectangular prism with the following formula:

$V=Bh$

Where B is the area of the base and h is height of the prism.

The problem gives you the area of the base and the height, they are:

$B=125units^{2}\\h=5units$

When you substitute values, you obtain the following result:

$V=125units^{2}*5units=625m^{3}$

Reil [10]4 years ago

6 0

Answer:

A. 625 cubic units

Step-by-step explanation:

The formula to find the volume of the prism = Base area * height.

Here the base area of the prism is a square, which is given as 125 square units.

Height = 5 units

The volume of the prism = 125 *5

= 625 cubic units

Hope this will helpful.

Thank you.

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3 years ago

Help? Need ASAP 736383727

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Answer:

Step-by-step explanation:

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4 years ago

Read 2 more answers

In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacem

Damm [24]

Answer:

a) P(A) = 0,4607 or P(A) = 46,07 %

b) P(B) = 0,7120 or 71,2 %

c) P(C) = 0,2055 or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626

TE = 10626

Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!

FE = 4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607 or P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2 = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120 or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2 ⇒ FE = 2184

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P(C) = 2184/ 10626

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4 years ago

Can you write a real world problem that uses Pythagorean theorem ?

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(3)2 + (4)2 =

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3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

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B2 = 900 – 324

b= √576

= 24 inches

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3 years ago

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Alina [70]

Answer:

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Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

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3 years ago