Answer:
The answer is choice B: 22.52 units.
Step-by-step explanation:
We use the Pythagoras's theorem which says for a right triangle with sides
and hypotenuse
:

In our case


So we solve for 

Which is choice B.
Answer:
1/2
Step-by-step explanation:
Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.
With this information we can use the respective volume formulas.
Hemisphere:
πr^3
Cone:
πhr^2
Since h (height) = r we can say the cone volume equals:
πr^3
Now to find the ratio we divide the cone volume equation by the hemisphere volume equation
pi and r^3 cancels out from the division and we are left with
ratio = (1/3)/(2/3)
ratio = 1/2
The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
Read more about absolute value equation at:
brainly.com/question/26954538
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Answer: D= 12/37
Step-by-step explanation:
To find sin of angle A, you take the opposite angle over the hypotenuse. 12 is opposite of A and 37is the hypotenuse.
Answer:
size because when a figure is squeezed, it shrinks and changes the size