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Wittaler [7]
3 years ago
14

What is the volume of a cone with a radius of 4cm and a height of 5cm?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer: 83.78 cm^3

pi times the radius squared times the height divided by 3,  when you know the diameter, you simply divide by two to find the radius, which you then plug into the formula.

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The table represents a linear function.<br> What is the slope of the function?
TEA [102]

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

3 0
3 years ago
What theorem shows that ΔACE ≅ ΔBCD?
jolli1 [7]

Answer:

sas

Step-by-step explanation:

3 0
3 years ago
How do i figure out [(3x²y³)2] ³
dybincka [34]

Answer:

216x⁶y⁹

Step-by-step explanation:

[(3x²y³)2]³

[6x²y³]³

[6]³.[x²]³.[y³]³

216.x⁶.y⁹

216x⁶y⁹

6 0
2 years ago
Find x<br> a) 21 √2<br> b)7<br> c)21 √2/2<br> d)21 √3/2
fgiga [73]

Answer:

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos45° = \frac{1}{\sqrt{2} } , thus

sin60° = \frac{opposite}{hypotenuse} = \frac{opp}{7\sqrt{3} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp = \frac{21}{2}

Now consider the right triangle on the right, using the cosine ratio

cos45° = \frac{adjacent}{hypotenuse} = \frac{\frac{21}{2} }{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = \frac{21}{2} × \sqrt{2} = \frac{21\sqrt{2} }{2} → C

5 0
3 years ago
The ratio of the walking speeds of three people
Blababa [14]

3 : 4 : 5 = 3² : 4² : 5² = 9 : 16 : 25

The answer is B.

Hope this helps.

6 0
3 years ago
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