Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
Answer:
Step-by-step explanation:
Answer:
hmmmmmmmmmmmmmmm
62
Step-by-step explanation:
Hi student, let me help you out! :)
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We are asked to find the G.C.F. of 8x-6.
- G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
1, 2, 4, 8, x
-1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
Remember this...
Hope this helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
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