Answer:
D - 192
Step-by-step explanation:
So the solve this, lets use the formula for area of a triangle:
b*h / 2 = A
b is the base, h is the height.
In this case, our base is 32, and our height is unknown.
To find it we must use pythagreons theorm:

a is half of the base in this case, since tecnically this iscoceles traingle(2 same sides) cut in half is 2 right triangles.
32/2 = 16
b is the unknown, and C is the hypotenuse(longest length) which is 20:




So we know b, whihc is our height, is 12.
Plugging this in:
32*12 / 2 = A
384 / 2 = A
192 = A
So the area of the triangle is 192.
Hope this helps!
Answer:
a) 0.8836
b) 0.7339
c) 0.2342
Step-by-step explanation:
Books classified as fiction = 94% or 0.94 probability
Books classified as non-fiction = 1 - 0.94 = 0.06
a) for two books, we get: 0.94 * 0.94 = 0.8836 Probability
b) The probability that all five books are fiction is: 0.94^5
This equals 0.7339 Probability
c) Probability that one books is non-fiction, while the other 4 are fiction is determined in the following way:
Probability of non-fiction * probability of fiction^(number of books)
0.06 * 0.94^4 = 0.0468
This does not account for the order at which the non-fiction book shows up. Such as the non-fiction book being the first book picked, or in another case - the non-fiction book being the last picked.
Since there are 5 ways this could occur, the total probability will be calculated as shown: 0.0468 * 5 = 0.2342 Probability
Answer:
13b - 19
Step-by-step explanation:
Because 6b and 7b are like terms so we add them. And 19 is not a like term so we connot add them.
Answer:
Volume of cylinder 
Step-by-step explanation:
Let
be diameter and
the height of the cylinder

Volume of cylinder 
