The kite is approximately 78.80 feet off of the ground.
Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p
sin
52
o
=
h
100
f
t
100
sin
52
o
=
h
100
(
0.7880
)
=
h
78.80
f
t
=
h
Answer:
There are 28 dolls, 32 balls, 20 cars for 80 total toys
Step-by-step explanation:
dolls : balls: cars: total
7 8 5 (7+8+5)
7 8 5 20
We have a total of 80
80/20 = 4
We need to multiply each number by 4
dolls : balls: cars: total
7*4 8*4 5*4 20*4
28 32 20 80
There are 28 dolls, 32 balls, 20 cars for 80 total toys
Answer: Check
12^10 × 12^(-2) = 12^(10 - 2) = 12^8
________________________________
Second option : ---
3^2 × 4^6 = 3^2 × 4^2 × 4^4 = 12^2 × 4^4
________________________________
Third option : ---
(12^8)^0 = 12^(8 × 0) = 12^0 = 1
________________________________
4th option : Check
12^10 / 12^2 = 12^10 × 12^(-2) = 12^(10 - 2)
= 12^8
________________________________
5th option : Check
2^8 × 6^8 = ( 2 × 6 )^8 = 12^8
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Quadrant III
Required
Determine 
We have:

We know that:

This gives:


Collect like terms

Take LCM and solve


Take the square roots of both sides

Sin is negative in quadrant III. So:

Calculate 

We have: 
So:


Rationalize


So, we have:



Substitute: 

Take LCM
