Answer:
1/5
Step-by-step explanation:
start with 40/200 and simplify it. they can both be divided by 40, so 40 divided be 40 is 1 hence the numerator, and 200 divided by 40 is 5, the denominator. Hope this helps !! :)
F(x) = 2(x + 3), now if we distribute the 2, we get 2x + 6.
we know the lbs of apple is "x", and therefore, the lbs of orange will be the constant 3.
2x will then stand for the price for "x" lbs of apples.
and 2*3 will stand for the price of "3" lbs of oranges, which is 6 bucks.
since the 2 is multiplying the lbs quantity, it must then be the price, so both cost 2 bucks each per pound.
The
slant height is the hypotenuse of the right triangle formed by the
height and half the base length. Use the Pythagorean Theorem.
a² + b² = c²
6² + 10² = c²
36 + 100 = c²
136 = c²
√136 = √c²
c = 11.66 in
24 degrees per second is 360 degrees in 15 seconds (pretty fast for a Ferris wheel!).
a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)
b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer
You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.