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andreyandreev [35.5K]
3 years ago
6

What is the volume of the rectangular pyramid shown belown?

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

9514 1404 393

Answer:

  168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

  A = LW

  A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

  V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

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1. The ratio of diamonds to stars was 3 to 11, and three times the number of diamonds was 2 less than the number of stars. How m
Dvinal [7]

Answer:

There were 3 diamonds.

Step-by-step explanation:

\frac{Diamonds(D)}{Stars(S)}=\frac{3}{11}

Therefore, 11D=3S

S=3D+2

Therefore,

\frac{11D}{3}=3D+2

11D=9D+6

2D=6

D=3

4 0
3 years ago
Is the triangle an equilateral triangle
solong [7]
It is not an equilateral triangle. To prove this, you must solve for x. I found x by setting 2x+5.2 = 3x+1.2 to get x=4. Then I plugged 4 into equation to see if they were equal. 2(4)+5.2= 13.2 and 3(4)+1.3=13.2 but 2(4)+6.2=14.2. This allows us to conclude that the triangle is not equilateral because all of the sides are NOT congruent. Hope that helped:))
4 0
4 years ago
The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He
denpristay [2]

Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

\theta =7.2\frac{\pi}{180}

S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles

∴ Radius of the Earth is 3978.8 Miles

C=2\pi r\\\Rightarrow C=2\times \pi \frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow C=25000\ Miles

∴ Circumference of the Earth is 25000 Miles

5 0
4 years ago
Wheel world sold 875 cars last year if the sales this year are 120% of sales last year how many cars will they sell this year
inn [45]

okay so first you wanna turn that 120% into a decimal and the decimal form of that would be 1.2 or 1.20

Secondly you want to multiply 875 by the 1.2

875*1.2 = 1050

So if they sell 120% of last years sales they will sell 1050 cars this year.

Hope this helped :)

3 0
4 years ago
The volume of 10,000 drops of a liquid is 100 fluid ounces.
denis-greek [22]

<u>ANSWER</u>: 0.1 ounces

Step-by-step explanation:

Volume of 10,000 drops of a liquid=100 fluid ounces

Volume of 1 drops of a liquid=(100/10,000) fluid ounces

Volume of 10 drops of a liquid=(100/10,000)*10 fluid ounces

=(1/10) ounces

=0.1 ounces [ANS]

5 0
3 years ago
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