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3 years ago

The height and diameter of a cone-shaped storage tank are 9 feet (height) and 14 feet

Mathematics

1 answer:

lana [24]3 years ago

3 0

Answer: 461.60 is the volume of liquid the tank can hold.

Step-by-step explanation:

We were given;

Height H = 9 ft

Diameter D = 14 ft

Pie π = 3.14

We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone

V = 1/3 * πr2h

First we need to find our radius r

Radius = 1/2 of diameter = 14/2 = 7

So using the formula

V = 1/3 * πr2h

V = 1/3 (3.14 * 7² * 9)

V = (3.14 * 49 * 9)/3

V = 1384.74 / 3

V = 461.58 = 461.60 (nearest ten)

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If 55% is 70.4 so what is hundred percent

hodyreva [135]

Answer:

55%=70.4

1%=70.4/55= 1.28

100%=1.28into 100 = 128

8 0

3 years ago

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a m

Stells [14]

Answer: See explanation

Step-by-step explanation:

Here is the complete question:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.

A. Students: 72

Minimum of chaperones: 9

B. Students: 16

Minimum of chaperones: 2

C. Students: 60

Minimum of chaperones: 6

D. Students: 45

Minimum of chaperones: 5

E. Students: 40

Minimum of chaperones: 8

Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.

We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:

Students: 72

Minimum of chaperones: 9

This will be: 72/9 = 8

Therefore, this is correct.

B. Students: 16

Minimum of chaperones: 2

This will be: 16/2 = 8

This is correct

C. Students: 60

Minimum of chaperones: 6

This will be: = 60/6 = 10.

Therefore, this is wrong

D. Students: 45

Minimum of chaperones: 5

This will be 45/5 = 9

Therefore, this is wrong.

E. Students: 40

Minimum of chaperones: 8

This will be: 40/5 = 8.

Therefore, this is wrong.

Therefore, options A and B are correct.

3 0

3 years ago

Read 2 more answers

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

creativ13 [48]

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$

5 0

3 years ago

= 4. The sum of Ben's and David's ages is 62 yrs now. Five years from now David will be twice as old as Ben. How old is Ben now?

ki77a [65]

The age of ben and david is 24 and 38 years.

According to the statement

we have to find the age of the Ben now.

So,For this purpose, we know that the

One application of linear equations is what are termed age word problems. When solving age problems, generally the age of two different people (or objects) both now and in the future (or past) are compared.

From the given information:

The sum of Ben's and David's ages is 62 yrs now

And

Five years from now David will be twice as old as Ben.

Let the ben age is x

and the david age is y.

So, from given information:

x+y = 62 -(1)

5 years from now,

y = 2x -(2)

put (2) in the (1) then

x+y = 62 -5

x+2x = 57

3x = 57

x = 19.

And the age of davud become

y = 2(19)

y = 38 years

So, five years from now the age of ben is 19 and david is 38 years.

And now the age of the ben and age of david is

Age of ben now = 19+5

Age of ben now = 24.

Age of david now = 62 -24

Age of david = 38.

So, The age of ben and david is 24 and 38 years.

Learn more about age word problems here

brainly.com/question/13818690

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2 years ago

There are 5 boys and 4 girls in my class. All of them are distinguishable. In how many ways can they be seated in a row of 9 cha

GalinKa [24]

There are 16 ways to arrange the row so that at least 3 girls always sit next to each other.

8 0

3 years ago