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vampirchik [111]
3 years ago
14

A display case in the shape of a rectangular pyramid has a base that is 1234 inches by 9 inches. It is 8 inches tall. What is th

e volume of the display case?
Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

864 cubic inches

Step-by-step explanation:

Complete Question

A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?

The volume of a rectangular pyramid =

Area of the base × Height of the pyramid

Base has dimensions = 12 inches by 9 inches.

Area of the base = 108 square inches

Height of the pyramid = 8 inches

Volume of rectangular pyramid =

Area of the base × Height of pyramid

= 108 square inches × 8 inches

= 864 cubic inches

Therefore, the volume of the display case is 864 cubic inches

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What expression is equivalent to -3+2/3y-4-1/3y
Neko [114]

Answer:

The simplified form of the given expression is -7 + (\frac{1}{3})y

Step-by-step explanation:

Here, the given expression is:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y

Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y  =( -3  - 4)  + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7  + [(\frac{2}{3}) -(\frac{1}{3})]y  = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =   -7 + (\frac{1}{3})y

Hence the simplified form of the given expression is -7 + (\frac{1}{3})y

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Of the 130 students distance learning math with Mr. Bischof, 63% of them actually work through the material. Approximately, how
QveST [7]

Answer:

82

Step-by-step explanation:

because 63% of 130 is 81.9

and since the question is asking approximately which means rounding, so you round 81.9 to get 82.  

7 0
3 years ago
Gradient of line AB (3,7) and (5,11)​
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Answer:

Gradient is change in y over change in x.

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4 0
3 years ago
Read 2 more answers
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
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