Answer:
Step-by-step explanation:
1. sinФ = cos 25
25 ° is in the between 0 and 90°
therefore it can simply represent
cosФ= sin (90-Ф) = sin (90 - 25) = sin 65
2. sin(Ф/3 + 10) = cos Ф
cos Ф = sin (90 -Ф)
sin(Ф/3 + 10) = cos Ф
sin(Ф/3 + 10) = cos Ф = sin(90-Ф)
Ф/3+10=90-Ф
10Ф+3/30 = 90-Ф
10Ф+3 = 30(90-Ф)
10Ф+3 = 2700-30Ф
10Ф+30Ф=2700-3
40Ф = 2697
Ф = 2697 / 40 = 67.425 ≅ 67.4°
Answer:
3 digits to the left side
Step-by-step explanation:
The decimal point will move 3 digits to the left side when dividing a decimal by 10³.
I see two ways to do it.
First, you have to understand that when you see a 'complex fraction' like this, the top number is a numerator, and the two bottom numbers are both denominators.
Way-1:
Take the top fraction . . . 2/2 . That's equal to 1 . So the whole thing is <em>1/3</em>.
Way-2:
Multiply the bottom two denominators. Then the whole thing is 2/(2·3) . That's the same thing as 2/6 . Simplify that, and you have <em>1/3</em> .
Answer:
A = 0.785m²
B = 31400cm²
C = 7850cm²
D = 785,000mm²
Step-by-step explanation:
To solve this question, we'll have to find the area of a circle which is
Area of a circle = πr²
1. The diameter of the circle = 1m
Area of a circle = πr²
r = radius of the circle
π = 3.14
Radius = diameter / 2
Radius = 1 / 2 = 0.5m
Area = 3.14 × (0.5)²
Area = 3.14 × 0.25
Area = 0.785m²
2. Radius = 100cm
Area of a circle = πr²
Area = 3.14 × (100)²
Area = 3.14 × 10000
Area = 31400cm²
3. Diameter = 100cm
Area = πr²
Radius = diameter / 2
Radius = 100 / 2
Radius = 50cm
Area = πr²
Area = 3.14 × (50)²
Area = 3.14 × 2500
Area = 7850cm²
4. Radius = 500mm
Area = πr²
Area = 3.14 × (500)²
Area = 3.14 × 250,000
Area = 785,000mm²
Answer:
She would make $327.60 each week after the raise
Step-by-step explanation:
First we need to find how much she will make per hour. We can do this by multiplying the per hour rate by the percentage of the raise.
$7.65 * 7% = $0.54
Now we add this amount to the previous hourly rate.
$7.65 + $0.54 = $8.19
Now that we have the new hourly rate, we multiply it by the number of hours that she works.
$8.19 * 40 = $327.60
