<span>89 x 20 = 1780 89 x 5 = 445 80 x 20 = 1600 9 x 20 = 180 80 x 5 = 400 9 x
</span>
The answer is B. 120/360 times the area of the circle
Answer:
9lb chocolate candies
6lb sugar candies
Step-by-step explanation:
Yes, I also happen to go to RSM. (6b)
Equation: 7x+2(15-x)=5*15
Solve:
7x+(2)(15)+(2)(−x)=(5)(15)
7x+30+(−2x)=75
(7x+(−2x))+(30)=75
5x+30=75
5x=45
x=9lb chocolate candies
Now, calculate the sugar candies.
15-9=6lb sugar candies
The given is that y varies directly with x:
y = xk
8 = 2k
k = 4
Now we know that the constant is 4. Make a new equation:
y = xk
y = 10(4)
y = 40
-T.B.
Octagon, stop sign.
Eight isoscles triangles. It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.
So each isosceles triangle has area (1/2)(9.9)(12) and we have eight of them,
area = 8(1/2)(9.9)(12) = 475.2
Answer: 475.2
Usually we wouldn't be told 9.9 -- this is the baby version. We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.
The area of the right triangle with long leg 12, short leg x,
tan 22.5 = x/12 or
x = 12 tan 22.5
Twice that is what we're told is 9.9; let's check:
2x = 24 tan 22.5 = 9.941125496954282
The area of the little right triangle is
(1/2) 12 × 12 tan 22.5
and there are 16 of these
16 (1/2) 12 × 12 tan 22.5 ≈ 477.174
