Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Set 3x - 2 equal to 5x - 6 to get x</u>
3x - 2 = 5x - 6
<u>Step 2: Solve for x</u>
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
Answer:1564cm cube
Step-by-step explanation: v=
r2h
v=22/7*6*6*14=1564.containter b volume of water is the total volume in container a so you just have to find container a volume
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot

An easy way to solve this is to convert 1/8 into a percentage then see from that point.
To turn 1/8 into a percentage, you must first get the decimal form of the fraction. In this case, 1/8 as a decimal is 0.125.
Now that we have the decimal form, we can divide the decimal over 100 (common numerical number to use when dividing) to get the percentage, which should be 12.5%.
Now, our new question is 'what's bigger, 80% or 12.5%?'
The answer is 80%, since it is larger than 12.5%.