Answer:
10. 20.9°
11. 73.2°
Step-by-step explanation:
The inverse sine function is used to find the angle from its sine value.
<h3>10.</h3>
In each case, the equation is of the form ...
a/sin(x) = b/c
Multiplying both sides by c/b·sin(x), we find the solution is ...
sin(x) = ac/b . . . . . find sin(x)
x = arcsin(ac/b) . . . . . find the corresponding angle
For the given values a=7.2, b=13, c=sin(40°), we have ...
x = arcsin(7.2sin(40°)/13) ≈ 20.9°
<h3>11.</h3>
For the given values a=6.53, b=√40, c=sin(68°), we have ...
x = arcsin(6.53sin(68°)/√40) ≈ 73.2°
F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
Answer:
z < 5.28
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
Step-by-step explanation:
<u>Step 1: Define</u>
14.3 > 5(z - 2) - 2.1
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute 5: 14.3 > 5z - 10 - 2.1
- Subtract: 14.3 > 5z - 12.1
- Add 12.1 on both sides: 26.4 > 5z
- Divide 5 on both sides: 5.28 > z
- Rewrite: z < 5.28
Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.
If 1 inch represents 20 miles, then 5 inches should represent <em>5 times as many miles</em>, or 20 x 5 = 100 miles.
Answer:
20
Step-by-step explanation:
What is 25 percent (calculated percentage %) of number 80? Answer: 20.
