Answer:
3/5
Step-by-step explanation:
Soh Cah Toa
In some trigonometry classes, this acronym is very important to solving questions like this.
Why?
It tells us the right triangle-definition of these trigonometry functions.
We have that cosine of an angle is equal to tge side that is adjacent to it over the hypotenuse.
So here we are asked to find cos(B).
Lets look at triangle respect to the angle B
The measurement of the side that is opposite is 64.
The measurement of the side that is adjacent is 48.
The measurement of the hypotenuse is 80.
So cos(B)=48/80.
Let's reduce. 48 and 80 have a common factor of 8 so divide numerator and dexter by 8. This gives us:
cos(B)=6/10.
One more step in reducing. Both factors are even so cos(B)=3/5.
34 feet / (1/8) feet
(1/8) = .125
34 / .125 = 272
The extreme of the quadratic ax² +bx +c is found at x = -b/(2a). Your function has
a = 16
b = 20
so it will have an extreme value at t = -20/(2*16) = -20/32 = -5/8.
We assume you intend h(t) = -16t² +20t +2 (with a leading minus sign), in which case the extreme value (maximum height) occurs at t = 5/8. The maximum height is
h(5/8) = (-16*5/8 +20)(5/8) +2 = 50/8 +2 = 33/4 = 8.25
The ball reaches its maximum height after 5/8 = 0.625 seconds.
The ball's maximum height is 8 1/4 = 8.25 feet.
Answer:
2 : 5
Step-by-step explanation:
They ran 1 and 5/6 miles. This is just under 2 miles, so no, they did not run 2 miles.