You would do tan<span>Ɵ = 9/12
tan^-1(9/12) = </span><span>Ɵ
</span><span>Ɵ = 36.87 degress
make sure your calculator is in degree mode
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Answer and explanation:
Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).
a. The random variable is continuous. Distance is a measurement.
b. The random variable is discrete. You can count how many people are sitting at a computer.
c. The random variable is continuous. Weight is a measurement.
d. The random variable is discrete. You can count how many fishes were caught.
e. The random variable is discrete. You can count how many hints a web site had.
Answer:
56 square units
Step-by-step explanation:
I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.
N is greater than or equal to 5. (n <u>></u> 5)
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
