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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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The value
ehidna [41]

Answer:

A

Step-by-step explanation:

Check the solution by substituting x = \frac{\pi }{2} into the left side of the equation

2sin²x - sinx - 1

= 2sin²(\frac{\pi }{2} ) - sin (\frac{\pi }{2} ) - 1

= 2(1)² - 1 - 1

= 2 - 1 - 1

= 0

= right side

\frac{\pi }{2} is therefore a solution to the equation

7 0
3 years ago
Eli's bedroom door is 9 feet tall and 3 feet wide. A new door is 2. 00 per square foot. How much would a new bedroom door cost i
Nataliya [291]

Answer: 54.00

Step-by-step explanation:

Door is 9 × 3= 27ft²

1ft² = 2.00

27ft²= 54.00

8 0
2 years ago
What is the area of the triangle?<br> 16<br> 10<br> "T<br> 8
Alexxandr [17]

Answer:

40 unit^2.

Step-by-step explanation:

Area = 1/2 * base * altitude

= 1/2 * 8 * 10

= 40 unit^2.

6 0
3 years ago
(a) Work out the reciprocal of 1.25
Oxana [17]

Answer:

0.8 OR \frac{4}{5}

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

\frac{125/25}{100/25}=\frac{5}{4}

Now we just flip 5/4 to get our reciprocal:

\frac{4}{5} = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 (\frac{5}{4}) is 0.8 (\frac{4}{5}).

Hope this helped!

8 0
3 years ago
Which value for the number makes the statement true? the quotient of a number and five is 8. a-4, b-8, c-40, d-80
Inga [223]
The letter is c because you divide 40 by 5 = 8
6 0
3 years ago
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