15x30= 450 sq ft
450/2.25= 200
so 200 people can fit in an area of 15x30
Angles along a straight line equal 180. This means that the unmarked angle of the triangle is equal to (180-153)=27.
Angles in a triangle add to 180. This means:
(x-4)+(2x+10)+27=180
3x+33=180
3x=147
x=49
II. f(x) doubles for each increase of 1 in the x values. Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes f(x) = a*2^x. Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.
Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)
(w-2)^2 = 63
FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4
So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0
Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3
√
7
Answer:
A. 
Step-by-step explanation:
Hi there!
We are given right triangle PQR, with PR=5, RQ=12, and PQ=13
We want to find the value of sin(Q)
Let's first recall that sine is 
In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse
So that means that sin(Q) would be 
Substituting the values of PR and PQ gives sin(Q) as , which is A
Hope this helps!
