Answer:
h = 5
Step-by-step explanation:
area = 1/2 base × hight
base = 3 +h
hight =9 + 6 = 15
60 = 1/2 × 15 × (3+h)
120/15 = 3 + h
8 = 3 + h
h = 5
Triangle ABC is similar to triangle APQ. They have corresponding line segments. Line segment PQ corresponds to BC.
Answer:
m∠P =119
m∠Q = 61
Step-by-step explanation:
m∠P = 2(∠Q)-3 or p=2(q)-3
supplementary angles so they combine to equal 180!
soooooo we can take
q+p=180
input what p equals and you get
q+ 2(q)-3=180
3q-3=180
3q=183
q=61
now we have what m∠Q is, so just subtract that from 180 to get m∠P
180-61=119
For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:
n = 6 + 12*k where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6
The answer is 0
The formula for the volume of a sphere is

. Plugging in 4.7 for your radius, we get

, which is roughly 29.453π≈92.530.