Answer:
(11+w)/4
Step-by-step explanation:
Let the first term be 3 miles
If he plans to increase the distance of his run by 1/4 mile, then
common difference = 1/4
To get the distance Kane runs in a training session after w weeks
, we will use the nth term of an AP
Tw = a+(w-1)d
Tw = 3 + (w-1)(1/4)
Tw = 3 + 1/4 w - 1/4
Tw = 11/4 + 1/4 w
Tw = (11+w)/4
Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks
<span>Simplifying
fg + -9n = 10j
Solving
fg + -9n = 10j
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '9n' to each side of the equation.
fg + -9n + 9n = 10j + 9n
Combine like terms: -9n + 9n = 0
fg + 0 = 10j + 9n
fg = 10j + 9n
Divide each side by 'g'.
f = 10g-1j + 9g-1n
Simplifying
f = 10g-1j + 9g-1n</span>
The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is
. Notice the "2*pi*r" which is the circumference formula. The area of a sector is
. Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly,
. Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly,
, and
. When you multiply in the value of pi, you get that your area is 169.65 in squared.
Answer:
2) C
3) A
4) B
Step-by-step explanation:
Their are three side and all sides are connected and there is this connect the dots thing we did in school.