The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
Answer:
264 sq. in.
Step-by-step explanation:
The easiest way to find the lateral surface area is to multiply the perimeter of the base times the height.
In your case the perimeter of the base is 2(8) + 2(3) = 16 + 6 = 22
The height is 12, so multiply 12 times 22 = 264 sq. in.
What? Is that two problems? I'll change my answer, give me my answer.
Answer:
20.99 m
Step-by-step explanation:
The apex angle is ...
180° -2·37.57° = 104.86°
By the law of sines, the unknown side x has length ...
x/sin(37.57°) = 33.28/sin(104.86°) = (side opposite)/sin(angle)
x = 33.28·sin(37.57°)/sin(104.86°) ≈ 20.99396 ≈ 20.99 . . . . meters
F o g is how it's written with the -3 it means
f(g(-3))=what
so first -3 into g(x)
g(-3)=-4(-3)
g(-3)=12
sub for x in f(x)
f(12)=-3(12)^2-5
f(12)=-3(144)-5
f(12)=-432-5
f(12)=-437