Answer:

Step-by-step explanation:
We want to solve the equation:

In the interval [0, 2π).
Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

Factor:

By the Zero Product Property:

Solve for each case:

Back-substitute:

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

Fourteen hours. The equation is 5x+20=90. Solve for X.
Answer:
gonna solve fore perimeter and area
P = 12 + 3 + 3 + 9 + 9 + 4 + 4 + 4 = 48cm
P = 48 cm
For area or A it is
A = (12*3) + (4*9) = 72 cm^2
Step-by-step explanation:
use deductive reasoning to determine the missing side lengths, and then solve by splitting the figuring into multiple rectangles
Answer:
Volume of the empty space in the can is 327.05 
Step-by-step explanation:
Given:
Number of golf ball the can holds = 4
Diameter of the golf ball = 5 cm
To Find:
Volume of the empty space in the can = ?
Solution:
Step 1: Finding the volume of one golf ball
Ball is shape of the sphere
So lets use the volume of the sphere formula
Volume of the golf ball = 
Radius =
= 2.5 cm
Substituting the values
Volume of the golf ball
=
=
= 
= 
= 65.41
Step 2: Finding the volume of empty space of the can
volume of empty space of the can = volume of 5 golf ball
= 5 X 65.41
= 327.05
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m