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Verdich [7]
3 years ago
14

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The

diagonals of each rhombus measure 6 and 8 units.What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Mathematics
2 answers:
umka21 [38]3 years ago
5 0
384 cubic units is the answer.
IRISSAK [1]3 years ago
5 0

Answer:

The answer is 384 cubic units

Step-by-step explanation:

The volume can be calculated multiplying the area of the rhombus by the height of the prism:

V = Ar*H*p

Then the area of the rhombus can be obtained as:

Ar = D*d/2

Here D and d are the rhombus's diagonal. Replacing the values for the diagonals:

Ar = 8*6/2 = 24

Where the area is expressed in square units. Evaluating the area and the height in volume's formula:

V = 24 * 16 = 384  

The volume calculated in cubic units

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Eva8 [605]

Answer:

10

Step-by-step explanation:

Substitute n for 10, 11 and 13

45 - 10 = 35

45 - 11 = 34

45 - 12 = 33

The answer is ten because when substituting n for 10, the equation

35 = 45 - 10

is true

7 0
2 years ago
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Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
vovikov84 [41]

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

7 0
2 years ago
How do I do this. I don’t understand how to put the numbers in that formula or whatever the heck it is.
OleMash [197]

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Step-by-step explanation:

8 0
3 years ago
Find the surface area of the square pyramid.<br> 70 ft²<br> 59.5 ft2<br> 91 A²<br> 42 ft²
iren [92.7K]

Answer:

Delta Ft = 70*3 - 42*7 = 168 #$

6 0
2 years ago
PLEASE HELP ME!<br> Drag the expressions into the boxes to correctly complete the table.
Kamila [148]

<em><u>The polynomials are:</u></em>

x^4+3x^3-5x^2-7x+20

x^3-2x^2+x-12

x^2+3x^5-6x+12x^3

<em><u>Not a polynomial are:</u></em>

4\sqrt[3]{x} -\sqrt{x}  -20

\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40

x^{-3}-x^{-2}-6x^{-1}+8

<em><u>Solution:</u></em>

Polynomial is an expression with variables and coefficients,

Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

<em><u>Option 1</u></em>

4\sqrt[3]{x} -\sqrt{x}  -20

Polynomial does not include roots

This is not a polynomial equation

<em><u>Option 2</u></em>

x^4+3x^3-5x^2-7x+20

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables

<em><u>Option 3</u></em>

\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40

This is not a polynomial. This equations involves negative integer exponents of variables

<em><u>Option 4</u></em>

x^3-2x^2+x-12

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

<em><u>Option 5</u></em>

x^{-3}-x^{-2}-6x^{-1}+8

This is not a polynomial. This equations involves negative integer exponents of variables

<em><u>Option 6</u></em>

x^2+3x^5-6x+12x^3

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

5 0
3 years ago
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