Answer:
x = 44.3°
Step-by-step explanation:
Redrawing the triangle,
To obtain x, we can apply the trigonometric relation :
Sin x = opposite / hypotenus
Opposite side = 6.5
Hypotenus = 9.3
Sin x = 6.5/9.3
x = sin^-1(6.5 / 9.3)
x = 44.34
x = 44.3°
Answer:
Part A:24140 PartB: 16865
Step-by-step explanation:
multiply the total number of people by the decimal form of the percentage (move decimal left two places)
71000*.34=24140
71000*.425=30175
then to find the other number you must add the two before then subtract from the total
24140+30175=54135
71000-54135=16865
Answer:
4.5 inch
Step-by-step explanation:
Given: A candle is 7 inch tall after burning for 1 hour.
Same candle is 5.5 inch tall after burning for 4 hours.
Lets assume time to burn candle be "x" and height of candle be "y".
Now, finding the rate of changes in height of candle per hour.
Let "m" represent the changes in height of candle per hour.
we know, 
∴ m= 
m= 
Next, forming an equation to know the original height of candle.
using equation; 
We know, A candle is 7 inch tall after burning for 1 hour.
⇒ 
⇒ 
Adding both side by 0.5
⇒
Hence, the original height of candle was 7.5 inches.
Again using the same equation to find the height of candle after burning for 6 hour.

⇒ 
∴ y= 4.5 inches.
Hence, The candle will be 4.5 inches tall after burning for 6 hour.
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
Let’s use m for months
So,
1st service
10m + 20
1. 10 + 20 =30
2. 10x2=20+20=40
3.10x3=30+20=50
4.10x4=40+20=60
5.10x5=50+20=70
2nd service
11m + 15
1. 11+15=26
2. 11x2=22+15=37
3 11x3=33+15=48
4.11x4=44+15=59
5.11x5=55+15=70
So, the 5th month the services cost the same
Hope this helps! ;)