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BARSIC [14]
3 years ago
13

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is

the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box?
Mathematics
2 answers:
DaniilM [7]3 years ago
6 0

Answer:

Volume = 10a³ + 91a² + 54a - 792

Step-by-step explanation:

In the absence of answer choices, let's find the expression for the volume.

Given: Volume = length×width×height

V = lwh

length =(2a + 11)

width =(5a – 12)

height= (a + 6)

V =  (2a + 11)(5a – 12) (a + 6)

Expand the first two brackets using distributive property

V = (10a² -24a +55a - 132)(a + 6)

Collect like terms

V = (10a² + 31a -132)(a + 6)

Expand the two brackets using distributive property

V = 10a³ + 31a² - 132a + 60a² + 186a - 792

Collect like terms

V = 10a³ + 91a² + 54a - 792

The expression that represents the volume of the box = 10a³ + 91a² + 54a - 792

astra-53 [7]3 years ago
3 0

Answer:

Volume = 10a³ + 91a² + 54a - 792

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Diagonal is 60 inches, height is 24 inches so

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6.25 inches

4 0
2 years ago
The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level
Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

\text{Average Speed}=\frac{1353}{60}

\text{Average Speed}=22.55

Therefore, the speed of elevators is 22.55.

8 0
3 years ago
Factor the quadratic by checking factor pairs.<br> -15x2 – 21x + 18<br> -15x2 – 218 + 19 = -3
d1i1m1o1n [39]

Answer:

-3(x + 2)(5x - 3)

Step-by-step explanation:

-15x² – 21x + 18

-3(5x² + 7x - 6)

-3[5x² + 10x - 3x - 6]

-3[5x(x + 2) - 3(x + 2)]

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3 0
3 years ago
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
Dimas [21]

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

5 0
2 years ago
Consider the line (d) with equation y = –2x+6
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Answer:

i dont know sry need points sry

Step-by-step explanation:

3 0
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