Answer:
The measure of angle E is 45 degrees
Step-by-step explanation:
To get the measure if angle E, we use the appropriate trigonometric ratio
From the question, EF is the hypotenuse since it faces the right angle
EG is adjacent to angle E
so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse
This trigonometric ratio is the cosine
It is the ratio of the adjacent to the hypotenuse
Thus,
we have it that;
Cos E = EG/EF
cos E = 6√26/12√13
E = arc Cos ( 6 √26/12 √13)
E = 45 degrees
Answer:
% Decrease = 11.45%
Step-by-step explanation:
Original Population = 5893
Expected Population = 5218
% Decrease = Original Population - Expected Population / Original population
% Decrease = (5893 - 5218 ) / 5893
% Decrease = 675/5893
% Decrease = 0.11454268
% Decrease = 11.454268%
% Decrease = 11.45% approximately.
First, determine the area of the whole circle by the equation, A = πr². Substituting,
A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
Answer:
if it isn't compound interest, i think it is $3029.9447
Step-by-step explanation:
*Hint: The formula for the lateral surface area of a right cone is LA= Πrs
All we have to do is plug in and solve.
LA= Π(3)(5)
LA = 15Π
LA = 47.1238898
The lateral surface area is around 48 inches.
