You have to use soh coa toa.. the equation is set up to use sine
the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
Answer:
Exact form: -31/4 , Decimal form: -7.75 , Mixed number form: -7 3/4
Step-by-step explanation:
Hope this helps.
Answer: Inner Circle Circumference = 27.018 feet
Outer Circle Circumference ≈ 49.637 feet
Step-by-step explanation: You can use the formula for the circumference of a circle (πd). From here, we can plug 8.6 feet for the inner circle's diameter into the formula. C ≈ 27.018 ft for the inner circle.
Diameters work in any way no matter how you turn the line, as long as the line touches both ends of the circle. Now imagine the 8.6 feet diameter lined up with the 3.6 feet given line. You have a total of 12.2 feet, but this is not the diameter. Since this is a circle, it is safe to assume the 3.6 feet line can be rotated between the inner circle and the border of the outer circle and remain the same length. Therefore, the other end is also 3.6 feet. Totaling up the diameter to 15.8 feet. Now plug this into the formula. C ≈ 49.637 feet of the outer circle.
Answer: A) 2/3 is shaded. B) 66.67% is shaded.
Step-by-step explanation:
The whole big triangle holds 9 total triangles in it.
Out of the 9 triangles 6 of them are shaded so the fraction will be 6/9 which reduces to 2/3.
Now convert 2/3 to a decimal to find what percentage is shaded.
2/3 = 0.6666...
0.6666 * 100 = 66.666..
66.666 as a percent is 66.67%
