Answer:
See below, please!
Step-by-step explanation:
There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.
For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?
Hope this helped!
Answer:
43
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
(x + 3)² - 6
<em>x</em> = 4
<u>Step 2: Evaluate</u>
<em>Follow Order of Operations.</em>
- Substitute in <em>x</em> [Equation]: (4 + 3)² - 6
- (Parenthesis) Add: 7² - 6
- Exponents: 49 - 6
- Subtract: 43
When two variables have a positive linear correlation, the dependent variable increases as the independent variable increases. So when the independent variable decreases, the dependent variable decreases as well. Both variables decrease and increase simultaneously.
They are vertical angles, thus they are equal to each other:
5x + 12 = 6x - 10
22 = x
x = 22
Answer:
25.61 feet
Step-by-step explanation:
First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.
Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.
One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have
sin(80°) = opposite / 26 feet
multiply both sides by 26 feet
sin(80°) * 26 feet = opposite
= 25.61 feet as the height of the wall the ladder reaches
