Answer:

Step-by-step explanation:
Given

Required
Solve
Open brackets


Collect like terms


Answer:
-6
Step-by-step explanation:
r = 9, b = 5, g = -6
Plug these values into (r + b - 8)(b + g)
[(9) + (5) - 8]*[(5) + (-6)]
Combine like terms in the brackets
[6]*[-1]
6 times -1 equals -6, so that is your answer
The circumference of a circle is

since the radius is half of the diameter we can substitute the diameter instead of using 2r. So we get

The we can substitute the given diameter, which is 5 and multiply it by

and get

.
Answer:
total area = 615 sq. in.
Step-by-step explanation:
There are 4 triangles that make up the lateral area. The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in. So, the area of one triangle = .5bh = .5(15)(13) = 97.5. The lateral area = 4(97.5) = 390. The area of the square base is 15(15) = 225. The total area = 390 + 225 = 615 sq. in.
Answer:
The value of w is 7.
Step-by-step explanation:
According to Pythagoras theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
Here,
Hypotenuse given=7√2
w=y
Perpendicular=Base=x
(7√2)²=x²+x²
49*2=2x²
(49*2)/2=x²
49=x²
√49=x
7=x
Perpendicular=x=7