Answer:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
4 x 28 = 112
Hope that helped! (:
Answer: SECOND OPTION (52 cm³)
Step-by-step explanation:
The formula for calculate the volume of a cone is:

Where r is the radius and h is the height.
The formula for calculate the volume of a cylinder is:

Where r is the radius and h is the height.
As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.
Therefore, the result is:

T to the 4th power then multiply by 3.
Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
=
, that is
=
( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10