<em><u>Question:</u></em>
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
<em><u>Answer:</u></em>
<h3>Arc length is 11.30 feet</h3>
<em><u>Solution:</u></em>
Given that,
Radius of circle = 12.6 feet
Central angle = 
radians
To find: Arc length
<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>
Where,
s is the arc length
r is the radius
is the central angle in radians
<em><u>Substituting the values we get,</u></em>
Thus, arc length is 11.30 feet
The product of 68 and 21 would be 1,428.
Answer:
24 minutes.
Step-by-step explanation:
This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.
First you should note that answer will be under 40 minutes.
1/40 + 1/60 = 1/TimeTotal
The common denominator on the left is 120 minutes
3/40*3 + 2/60*2 = 1/timetotal
3/120 + 2/120 = 1/ timetotal
5/120 = 1/time total Now to use to the key stop
What you do now is you always turn the left side over. You do the same thing to total time.
120/5 = total time
24 = total time
What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
Answer:
Nifal received $ 4 for washing the first car.
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
Step-by-step explanation:
The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:
Then, by eliminating y:
Now, let is clear 
:
Nifal received $ 4 for washing the first car.
The earning for the second car is: ()
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
