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zepelin [54]
3 years ago
7

A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 314 square units, and t

he area of the cross-section of the cylinder is 50 square units Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder
The volume of the square prism is half the volume of the cylinder
The volume of the square prism is equal to the volume of the cylinder
The volume of the square prism is twice the volume of the cylinder
Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

The volume of the square prism is  6.28 times the volume of the cylinder  

Step-by-step explanation:

Volume of the square prism = cross-section * height

Volume of the cylinder = cross-section * height

Dividing one volume by the other, and replacing with data:

Volume of the square prism / Volume of the cylinder = 314/50 = 6.28

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How do you solve (2x + 8 )2 =64
Drupady [299]

Answer:

x = 12

Step-by-step explanation:

  1. Write in a different way: 2(2x + 8) = 64
  2. Apply the distributed property, so it now looks like this: 4x + 16 = 64
  3. Subtract 16 from each side, so it now looks like this: 4x = 48
  4. Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12

I hope this helps!

4 0
3 years ago
A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
3 years ago
The measure of two angles are (3x+20) and (5x - 2). What is the value of x if the
adelina 88 [10]

Answer:

x = 9

Step-by-step explanation:

angle 1 plus angle 2 equals 90 because they are complementary. combining like terms gives you 8x + 18 = 90. then you get 8x = 72, which means that x equals 9

8 0
3 years ago
Find the measure of each angle indicated. Round to the nearest tenth
MArishka [77]

Answer:

1. A 2.C

Step-by-step explanation:

8 0
2 years ago
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