Formula of the Volume of a hemisphere:
V =
r³
144
=
r³
Multiply by 3 to cancel fraction in the right side
144
× 3 = 2
r³
432
= 2
r³
Divide by 2
on either sides to isolate r³
=
r³
2
and
cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
=
![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 unitsThe formula of the surface area of a hemisphere is:
S.A = 2
r² +
r²
=
(6)² +
(6)²
=2
× 36 + 36
= 72
+ 36
= 108
units² (in terms of
)
≈ 339.12 units²
Surface area = 108 units
So this can be translated like the following:
Bike costs= 173 dollars She currently has 107. She saves 11 dollar per week to get the bike so the formula is:
173 = 107 + 11X where X is the number of weeks
Step 1: bring the 107 to the other side to get 173-107 = 11X
Step 2: divide both sides by 11 to solve for X to get this (173-107 )/11 = X
Step 3: Calculate and simplify 66 / 11 = X which is the same as X= 6
So the answer is it will take jennifier 6 weeks to save for the bike.
Answer: False.
Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles.
Answer:
Option B is correct
the degree of rotation is, 
Step-by-step explanation:
A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
To find the degree of rotation using a standard rotation matrix i.e,
Given the matrix: 
Now, equate the given matrix with standard matrix we have;
=
On comparing we get;
and 
As,we know:
we get;
and
we get;
Therefore, the degree of rotation is,
