Answer:

Step-by-step explanation:
Given expression:



Replace 900 with 30² :




(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).


Simplify:

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).
Answer:
.
Step-by-step explanation:
Given:
In Right Angle Triangle GIH
∠ I = 90°
GI = 7 ....Side opposite to angle H
GH = 10 .... Hypotenuse
To Find:
m∠H = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,

Substituting the values we get;

Now taking
we get;

rounding to nearest tenth we get.
.
Hence
.
Answer:
12 ounce bottle
Step-by-step explanation:
12 x 3 = 36
16 x 5 = 80
So, that means the 12 ounce bottle is cheaper. :)
Answer:
x=5
Step-by-step explanation:
Volume of a rectangular prism=
b x l x h
Set up you equation
120=
(4 x 12 x
)
Multiply inside the parentheses
120=
(48x)
Multiply by 
120=24x
Divide by 24 on both sides
5=x
Check you answer
Volume of a rectangular prism=
b x l x h
Set up your equation
(12 x 5 x 4)
Multiply inside the parentheses
(240)
Multiply by 
V=120yd³