Answer:
Step-by-step explanation:
, csc(x) = 1/sin(x)
Answer:
19) 28°
20) 60°
21) 17°
Step-by-step explanation:
19)
Supplementary angles:
(x + 12)º + 140º = 180º
x + 12 + 140 = 180
x = 180 - 140 - 12
x = 28º
20)
Angles at a point:
(- 24 + x)° + 24° + 300° = 360°
- 24 + x + 24 + 300 = 360
x = 360 - 300
x = 60°
21)
Vertically opposite angles:
(1 + 3x)° = 52°
1 + 3x = 52
3x = 52 - 1
3x = 51
x = 17°
Answer:Step 1: Write down the decimal divided by 1, like this: decimal1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
Example: Convert 0.75 to a fraction
Step 1: Write down 0.75 divided by 1:
0.751
Step 2: Multiply both top and bottom by 100 (because there are 2 digits after the decimal point so that is 10×10=100):
× 100
right over arrow
0.751 = 75100
right under arrow
× 100
(Do you see how it turns the top number
into a whole number?)
Step 3: Simplify the fraction (this took me two steps):
÷5 ÷ 5
right over arrow right over arrow
75100 = 1520 = 34
right under arrow right under arrow
÷5 ÷ 5
Answer = 34
Step-by-step explanation:
X/5+9=4
Subtract each side by 9
X/5=-5
Multiply each side by 5
X=-25
Answer:
see below (I hope this helps!)
Step-by-step explanation:
The range is simply all the y values of a function. Remember, a closed dot signifies ≤ or ≥ whereas an open dot signifies < or >. We see that the minimum y value is -11, and since it has a closed dot, we can write y ≥ -11. From the graph, the maximum y value is 11 and since it has an open dot, we can write y < 11, therefore, the final answer is -11 ≤ y < 11.
