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3 years ago

And please show work (answer #4)

Mathematics

1 answer:

algol [13]3 years ago

8 0

Part A.

The building is made up of two rectangular prism.
The left rectangular prism has base 8 ft by 12 ft and height 24 ft.
The right rectangular prism has base 32 ft by 12 ft and height 16 ft.
The volume of a rectangular prism is: V = LWH

For the building, the total volume is:

V = LWH + LWH

V = 8 ft * 12 ft * 24 ft + 32 ft * 12 ft * 16 ft

Part B.

V = 2304 ft^3 + 6144 ft^3

V = 8448 ft^3

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Benny wants to buy a new video game that costs $49.95. He already saved $24.65, and his aunt gave him $15 for mowing her lawn. H

Art [367]

Answer:

$10.30

Step-by-step explanation:

X = 49.95 - (24.65 + 15)

x = 49.95 - 39.65

x = 10.30

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3 years ago

Which number would make this statement true

Alinara [238K]

3.3 is greater than 3.01

Hope this helps!

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3 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

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3 years ago

HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x

mrs_skeptik [129]

Answer:

x=9

Step-by-step explanation:

17x - 12 = 114 + 3x

First Subtract 3x from both sides

14x - 12 = 114

Add 12 to both sides

14x=126

Divide by GCF (14)

x=9

Hope this helps! Plz award Brainliest : )

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3 years ago

Read 2 more answers

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card

m_a_m_a [10]

You can divide 100 by 4 to find out how many lunches you can buy
or multiply 4 by the number of lunches you have had
100 - that number^=money remaining

8 0

3 years ago