Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.
The given equation is

x intercept
To find the x intercept, we have to plug 0 for y and solve for x.That is

So x intercept is (6,0) .
y intercept
To find the y intercept , we have to plug 0 for x and solve for y. That is

So the y intercept is (0,-9) .
You didn't include the formula.
Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).
Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.
Simple pendulum formula:
Period = 2π √(L/g)
Square both sides
Period^2 = (2π)^2 L/g
L = [Period / 2π)^2 * g
Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2
L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m
Hope this helps you!!!!
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Answer:
We have the equation:
P(t) = 100 - 10*t
where t is the number of hours.
at t = 0, we have:
P(0) = 100 - 0 = 100
so at the initial time, we have 100% of the battery power.
Now with this equation we can find the numbers of hours that we have left in our phone, this is finding the time t at which the power left is equal to zero:
P(t) = 0 = 100 - 10*t
10*t = 100
t = 100/10 = 10
So the battery power will last for 10 hours.
33-7r = 3(6-4r)
33 - 7r = 18 - 12r
33 -7r + 7r = 18 - 12r + 7r
33 = 18 - 5r
33 - 18 = 18 - 5r - 18
15/5 = 5r/5
3 = r
r = 3