Short answer
For 6: 72 ft^2
For 7: 650 m^2
Six
The base is a square. It's measurement is s = 4
Base = 4^2
Base = 16 ft^2
One triangle
A = 1/2 * b * h
A = 1/2 * 4 * 7
A = 14 tt^2
Four triangles
A = 4 * 14
A = 56 ft^2
Total Area = 56 + 16 = 72 ft^2
Answer 72 square feet
Seven
Triangles
Area of 1 triangle = 1/2 * 10 * 13
Area of 1 triangle = 65
Area of 6 triangles
Area of 6 triangles = 6 * area of 1 triangle
Area of 6 triangles = 390
Base
As near as I can tell, the base is a hexagon. It's using a rather out of the way method of drawing it. I will assume it is a regular hexagon. The area of a regular hexagon is 3 sqrt(3)/2 * S^2 where s is the side of the hexagon.
Area = 3sqrt(3)/2 s^2
s = 10
Area = 3sqrt(3)/2 10^2
Area = 5.1962 * 100 /2
Area = 259.81
Total area
Total area = area of the base + area of the triangles
Total area = 259.81 + 390
Total area (rounded ) = 650
Answer C <<<< answer
I'll do one more in this batch and then you'll need to repost again.
Eight
If you draw two diagonals on the base of the figure, the intersection point will meet the base of the height. Read that a couple of times.
Join the intersection to the midpoint of the length of the square bottom. You should get 3.5
x is found by using the pythagorean theorem.
h = 6
s = 3.5
x = ????
x^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.95
C <<<< answer
Answer:
Angle OCB= 35 degrees and Angle BOC= 119
Step-by-step explanation:
ANGLE OCB= 1/2 C (Construction of bisector)
= 1/2 70
= 35
ANGLE OBC= 1/2 B (Construction of bisector)
= 1/2 52
= 26
Therefore, in triangle BOC,
180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB
180= 35+26+ANGLE BOC
180= 61+ANGLE BOC
ANGLE BOC= 180-61
ANGLE BOC= 119
We are asked to express r in terms of A, P, and t.
We first divide both sides of the equation by t, which gives us
,
then, dividing both sides by P, we have
.
Swap the sides:
Finally subtracting 1 from both sides gives us
.
Answer: 82 ft squared
Step-by-step explanation: The surface area is 2( wl + hl + hw)
so the width is 2 the length is 7 and the height is 3
so it's 2( 14 + 21 + 6) = 2(41) = 82