Answer:
Step-by-step explanation:
Remark
- x is opposite the 90 degree angle. It is the hypotenuse.
- 13 makes up the 57 degree angle. It is the side adjacent.
- The adjacent side and the hypotenuse define the cos(theta).
Formula
cos(theta) = adjacent side / hypotenuse
Givens
Theta = 57 degrees
Hypotenuse = x
Side adjacent = 13
Solution
- Cos(57) = 13 / x Multiply both sides by x
- x*cos(57) = 13 Divide by cos(theta)
- x = 13/cos(57)
- x = 13 / cos(57)
- cos(57) = 0.5446
- x = 13/ 0.5446
- x = 23.87
You divide the numerator (TOP) by the denominator (bottom);
So, 33 divided by 100 is:
0.33 which is the decimal.
Answer: 0.33
Answer:
Step-by-step explanation:
<u>Let the capacity of tank is x</u>
- 1/5x + 9 = 7/10x
- 2/10x + 9 = 7/10x
- 5/10x = 9
- 1/2x = 9
- x = 18 gallons
Answer:
f=42
fdb=104
Step-by-step explanation:
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.