Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
1.047197 x 180/π = 60°
Now THAT's a problem !
Lemme at it ! Outa my way !
The probability of picking two of the friends to work together is
(the number of pairs of friends there are)
divided by
(the total number of pairs that can be pulled out of 21 students).
The number of pairs of friends there are is (3 x 2) / 2 = 3 pairs.
The total number of pairs that can be selected out of 21 students is
(21 x 20) / 2 = 210 pairs.
The probability that the pair selected will be two of the friends is
3 / 210 = 1/70 = about 1.43 % (rounded)
X + 4 = 4x + 2
let’s put the x’s on one side and the numbers on the other
(whatever you do to one side, you have to do to the other)
x + 4 = 4x + 2
- 4 - 4x
x - 4x = 2 - 4
-3x = -2
—— ——
-3 -3
x = 2/3
to check this, we can put 2/3 in for x
(2/3) + 4 = 4(2/3) + 2
4 2/3 = 8/3 + 2
4 2/3 = 2 2/3 + 2
and there we can see both sides equal 4 and 2/3, making it true
measure of angle CED is 80
Answer:
Yes
Step-by-step explanation:
12 + 3(20) = 72
12 + 60 = 72