Answer: 
Step-by-step explanation:
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The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3>
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To solve this exercise you need to use the following formula to find the Arc lenght:
Where "C" is the central angle of the arc (in degrees) and "r" is the radius.
In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:
Therefore, knowing these values, you can substitute them into the formula:
And finally,you must evaluate in order to find the Arc lenght.
You get that this is:
a. Use the inclusion/exclusion principle.
b. By definition of conditional probability,
Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
H = 25.01 mm
= 5229 mm³
Answer:
Step-by-step explanation:
let the speed of one plane=x
speed of other plane=x+80
time=4 hrs
then 4x+4(x+80)=3800
4x+4x+320=3800
8x=3800-320
or 8x=3480
x=435
speed of one plane=435 m/h
speed of other plane=435+80=515 m/h
2.
Let he walks x hrs
then he take a taxi for 2-x hrs
4x+(2-x)50=31
4x+100-50x=31
-46x=-69
so he walks 3/2 hrs=1.5 hrs
travels by taxi=2-1.5=0.5 hrs
distance traveled by taxi=0.5×50=25 miles
