Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A
C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Answer:
11.5
Step-by-step explanation:
r= SI×100
_______
P×T
= 9200×100
_________
20000×4
= 920000
________
80000
Answer:
She has 80 apples in all.
Step-by-step explanation:
24=30%
(24÷3)=(30÷3)%
8=10%
(8×10)=(10×10)%
80=100%
Answer:
18 cents per ounce
Step-by-step explanation:
The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.
To find the price of one ounce, just divide your price of $2.88 by 16.
Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.
Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.
