To find whether the volume would be doubled when the radius is,we can find the volume of the two balloons.
The formula of a sphere is:
Let's take 丌 as 3.14
The volume of the balloon with 4cm radius:
The volume of the balloon with 8cm radius:
As we can see,
267.94668 × 2 = 535.89 ≠2145.56
Thus,she wouldn't discover that the volume is twice as big when the radius is doubled.
Hope it helps!
Answer: <M corresponds to <J
<L corresponds to <O
JL corresponds to MO
To find the corresponding angles:
1. Look at the figures.
<M is to <J, <N is to <K, and <O is to <L.
2. Look at the similarity statement.
ΔMNO ~ ΔJKL. <M is to <J because they are the first letters.
ΔMNO ~ ΔJKL. <N is to <K because they are second letters.
ΔMNO ~ ΔJKL. <O is to <L because they are third letters.
Apply these two methods to find the corresponding sides.
Answer:
x=6
Step-by-step explanation:
3x+(-10)=8
3x-10=8
-10+10=0
8+10=18
3x=18
3x/3=x
18/3=6
x=6
Answer:
Step-by-step explanation:
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
