Answer:
The radius is 4.097396898
Step-by-step explanation:
A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume
V = 1/2 ( 4/3 pi r^3)
= 2/3 pi r^3
144 = 2/3 pi r^3
Multiply each side by 3/2
3/2 *144 = 3/2 * 2/3 pi r^3
216 = pi r^3
Divide each side by pi
216/ pi = pi r^3/pi
68.78980892 = r^3
Take the cube root of each side
(68.78980892 )^1/3= (r^3)^1/3
4.097396898 = r
The radius is 4.097396898
Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) =
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) =
m(∠C) = 18°
For this case we have the following expression:
We multiply both sides by:
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1,
So, for equality to be true:
Answer:
Look at the link below I filled in the answers for you. :)
240 each 10 percent is 30 calories multiply them by ten gets you 300