Answer:
Step-by-step explanation:
To solve systems of algebraic equations containing two variables, start by moving the variables to different sides of the equation. Then, divide both sides of the equation by one of the variables to solve for that variable. Next, take that number and plug it into the formula to solve for the other variable.
Answer:
1. Draw out a diagram as a triangle with one side as the 5' rise, the other side as the horizontal run, and the hypotenuse as the ramp.
2. Put the 5 ° in as the angle between the run and the ramp.
3. Let the run = x. Using trigonometry (needed!) the tangent angle (tan) of 5° = opposite/adjacent = 5/x.
4. So x = 5/tan(5°). you will need a scientific calculator to solve.
Answer:
8 feet
Step-by-step explanation:
You would use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
Therefore:
6^2 + b^2 = 10^2
36 + b^2 = 100
-36 -36
b^2 = 64
Square root both sides
b = 8
Answer:
$53.20
Step-by-step explanation:
First, you need to find 24% of $70.
Change the percent to a decimal.
24% to .24.
Multiply that times 70.
.24 x 70 = 16.8
This will be the amount of money taken off the original price, so you will subtract it from the $70.
70 - 16.8 = 53.2
Therefore, the retail price is $53.20