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4 years ago

Find the volume of the figure below. Round to the nearest tenth.

Mathematics

1 answer:

anyanavicka [17]4 years ago

5 0

Answer:

3057.6 cm³

Step-by-step explanation:

You have a cylinder and a rectangular prism. Solve for the area of each separately.

<u>Cylinder</u>

The formula for volume of a cylinder is V = πr²h. The radius is 7, and the height is 7.

V = πr²h

V = π(7)²(7)

V = π(49)(7)

V = 343π

V = 1077.57 cm³

<u>Rectangular Prism</u>

The formula for volume of a rectangular prism is V = lwh. The length is 20, the width is 11, and the height is 9.

V = lwh

V = (20)(11)(9)

V = (220)(9)

V = 1980 cm³

Add the areas of the two shapes.

1077.57 cm³ + 1980 cm³ = 3057.57 cm³

Round to the nearest tenth.

3057.57 cm³ ≈ 3057.6 cm³

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Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.

Mazyrski [523]

P(x) = x-4

k(x-4) = 5(x-4) - 8 = 5x - 28

So the answer is 2

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3 years ago

A large water tank holds 295 liters of water.

stira [4]

613 liters total. 295+318=613 liters

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3 years ago

Jenny,eric and Boris sent a total of 79 text messages during the weekend Jenny sent 6 fewer messages than Erica Boris sent 3 tim

inna [77]

Lets say that J is for Jennys messages, B is for Boris’ and E is for Erics (or Ericas?).

79 = J + B + E

J = E - 6
B = 3E

Since both Jenny’s and Boris’ number of text messages has some kind of relation to Eric’s number of messages, we can say that:

79 = E - 6 (Jenny) + 3E (Boris) + E (Eric), so:

79 = E - 6 + 3E + E /combine like terms
79 = 5E - 6 /add 6 to both sides
79 + 6 = 5E /switch sides + combine like terms
5E = 85 /divide both sides by 5
E = 85/5
E = 17

So, Eric sent 17 messages. Lets get back to those equations we made for Jenny and Boris:

J = E - 6 = 17 - 6 = 11
B = 3E = 3 * 17 = 51

And we can check if it adds up: 51 + 11 + 17 = 79, which is what we were supposed to get.

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3 years ago

Givem the geometric sequence where à1=2 and the common ratio is 4, what is domain for N

Dmitry_Shevchenko [17]

The domain for N is All integers where n ≥ 1

<u>Solution:</u>

According to statement a1 = 2 and r = 4. This shows that r is greater than 1.

If r is greater than 1 than it includes integers greater than 1 or equal to 1. It does not include all the real numbers because real numbers include negative numbers also.

If starting value is 2, if we put n=0, then we get 2, but if we put a negative value than we would get a number which is not a part of our sequence.

Thus the domain of n is All integers where n greater than or equal to 1

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4 years ago

Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negativ

andreyandreev [35.5K]

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

$16=1.2n+(-8)$

<h3>How to write algebraic equation from statement? </h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Identify all the factors of the expression.

Assume a variable for the changing values.

Put a coefficient for the variable, if there is any rate of change of variable.

Use constant numbers for the fixed values.

Given information-

The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is $n$ .

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

$16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)$

Thus the equation can be used to represent the given statement is,

$16=1.2n+(-8)$

Learn more about the algebraic expression here;

brainly.com/question/2164351

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2 years ago