we know that
Area of the circle is equal to

where
r is the radius
in this problem



therefore
the answer is the option
d. 113.04 sq. in.
Answer:
The length of the long side of the rectangle is 38 ft.
Step-by-step explanation:
If we test out all possible factors, we will see that 15 x 38 is the most fitting.
Perimeter: 15 + 15 + 38 + 38 = 106 ft.
Area: 15 x 38 = 570 square ft.
38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.
Answer: The height of the building is 6.49 meters.
Step-by-step explanation:
This can be translated to:
"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.
Which is the height of the building?"
We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:
(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)
H/7.5m = 1.6m/1.85m
H = (1.6m/1.85m)*7.5m = 6.49m
The height of the building is 6.49 meters.
Answer:
I'm pretty sure the answer to the third question is C
Step-by-step explanation:
We are solving for h(g(x)).
We already know that g(x) is equal to x^2+4.
So know, we can simplify our expression, h(g(x)), to h(x^2+4).
We also know that h(x)=1/x
we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)