Answer:
Angle B is a straight angel. Angels a and c are bot 45 degrees.
Step-by-step explanation:
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
Answer:
I got 460.
Step-by-step explanation:
You multiply 115 by 4. Right?
Answer:
Yes, the probability distribution is valid.
Step-by-step explanation:
Given :
Income range ___ midpoint(x) ___ %
5 - 15 __________ 10 _____20%
15 - 25 _________ 20 _____13%
25- 35 _________ 30 _____ 21%
35 - 45 _________40 _____ 17%
45 - 55_________ 40 ____ 20%
55 or more _______ 50 _____9%
Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).
