Using the Pythagorean Theorem we can solve this.
OB = radius = 32
OC = 13
Lets solve for CB, which is half the length of AB.
CB = SQRT(32^2 - 13^2)
CB = SQRT(1024 - 169)
CB = SQRT(855)
CB = 29.24
AB = 29.24 x 2 = 58.48 = 58.5.
The answer is 58.5
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
Answer:
k is the constant of proportionality
2 1/4 gallons
Step-by-step explanation:
y = kx, k is the constant of proportionality
y = how much of the tank is filled
x = how many gallons used
1/3 = k (3/4)
Multiply each side by 4/3 to isolate k
4/3*1/3 = k (3/4)*4/3
4/9 = k
y = 4/9x
We want y to be 1 for a full tank
1 = 4/9 x
Multiply each side by 9/4 to isolate x
9/4 = 4/9 x * 9/4
9/4 =x
We need 9/4 gallons or simplifying
2 1/4 gallons
Answer:
I don't know but I can help you understand it.
Step-by-step explanation:
First find the the answer to the problem and then try to compare all of them to each other and choose the one that makes the most sense.