Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Answer:
The 12'' one.
Step-by-step explanation:
The crust is at the perimeter of the pizza, and the pizza is a circle, so we just need to calculate the perimeter of the different pizza sizes, and see which one has a perimeter of 37.68 in.
First, you should remember that for a circle of radius R, the perimeter is:
P = 2*3.14*R
(notice that the measures in the image are the diameters of the pizzas, and the radius is half of the diameter)
The radius that we need to have if we want a perimeter of 37.68 in is given by:
P = 37.68 in = 2*3.14*R
(37.68 in)/(2*3.14) = R = 6 inches.
Then we need a pizza of 6 inches (or a diameter of 2*6 inches = 12 inches)
Then the pizza that Ms. Van Rock should get is the 12 inch one.
Answer:
2√(3) or -2√(3) or 2i or -2i
Step-by-step explanation:
All the steps are in the photo I attached
(I forgot about negative side, sorry)
Answer:
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Step-by-step explanation:
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Comment is correct, I mis read. it is figure B since not gorilla is inside not ape
