Answer:
x ≈ 25.5°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x</em>°
Opposite Leg = 10
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: tanx° = 10/21
- Inverse trig: x° = tan⁻¹(10/21)
- Evaluate: x = 25.4633°
- Round: x ≈ 25.5°
Answer:
$17.22 per foot
Step-by-step explanation:
To find the unit rate, divide the amount of money by the amount of feet. This will give you how much money per one foot.
310/18= 17.22222
8/10 x 1 3/5 = ?
first u need to find the mixed fraction is 8/5: 1 3/5 = 8/5
8/10 x 8/5 = 64/50
64/50 in simplest form: 32/25
32/25 equals to 1 7/25
so the answer is 1 and 7/25
Answer:
5.2 x 10^-2
Step-by-step explanation:
Scientific notation is used to simplify very large or very small numbers.
The formula for scientific notation is (a x 10^ n)
(a) is a number that is both greater than 1 and less than 10
(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.
First you should write out the number.
0.052
Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)
For this problem you will move the decimal place 2 places to the right to create the number 5.2.
Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.
Answer:
Step-by-step explanation:
