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
45/50 and 46/50 could be one of the options of 4.5/5 and 4.6/5
The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.
I would suggest looking up a converter chart, I don't know all of them but I can help with some.
For yards to feet you have to divide by 3 because there are 3 feet in a yard.
For lbs, it's 16 oz in a pound, so divide by 16.
For miles to yards you divide by 1760 because there are 1760 yards in a mile.
I hope this helps a little bit.
The domain of the function g(x) = 2 log₂(x - 4) + 3 will be (4, ∞). Then the correct option is A.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The graph of the function f(x) = log₂x is shown.
Function g is defined as g(x) = 2f(x - 4) + 3.
Then the function g(x) will be
g(x) = 2 log₂(x - 4) + 3
Then the domain of the function g(x) will be (4, ∞).
Then the correct option is A.
More about the domain and range link is given below.
brainly.com/question/12208715
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