Answer:
radius=2
Step-by-step explanation:
if the circumference=4pi and the formula is 2pir then r must be 2 and would look like this:
C = 2pir
C = 2pi2
C = 2*2pi
C = 4pi
Answer:
39 students
Step-by-step explanation:
In order to solve this you need to first set up a proportion with x equaling the number of students who voted for the athlete, 65/100 = x/60. 65/100 represents 65% and it is equal to a certain number of students out of 60. To solve for x you need to cross multiply so you would have 100x=65(60), simplified this would be 100x=3900, then you divide both sides by 100 to get x over 39. So, 39 students voted for the athlete.
Answer: The selling price will be $1.68
Step-by-step explanation:
If the magazine is marked-up by 12% , then you will multiply 12% by the amount of money then add it to the same amount of money.
1.50 * 12% = 0.18
1.50 + 0.18 = 1.68
Answer:
The coefficient of x is 8
Step-by-step explanation:
Given
--- Perimeter
Required
Determine the coefficient of x
Open bracket
Collect like terms
<em>The coefficient of x is 8</em>
Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
