F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4
Answer:
Step-by-step explanation:
time to cross will be the distance divided by the velocity in that direction.
a) t = d/v = 45/2.75 = 16.363636... 16.4 s
In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.
b) d = vt = 2.5(16.36) = 40.9090... 40.9 m
As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities
c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s magnitude
θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across
Answer:
17,28 %
Step-by-step explanation:
81 .............. 100%
14 ....................x%
x = 14×100/81 = 1400/81 ≈ 17,28 %
Answer:
sin(y)=15/17
cos(y)=8/17
tan(y)=15/8
Step-by-step explanation:
We know that sinФ=Opposite/Hypotenuse, cosФ=Adjacent/Hypotenuse, and tanФ=Opposite/Adjacent. We can remember this with the phrase SOH-CAH-TOA.
We know our angle is Y. The opposite side of Y is 15. The adjacent side of Y is 8. The hypothenuse is 17.
Now, we can plug the given information into the formulas and get the solutions.
sin(y)=15/17
cos(y)=8/17
tan(y)=15/8
Answer:
5/8
Step-by-step explanation:
Sara owns 3/4 of an acre of land. She wants to sell 5/6 of it. What fraction of an acre does she want to sell?
The fraction of the acre of land that Sara wants to sell is calculated as:
= 5/6 of 3/4 of an acre of land
= 5/6 × 3/4
= 5/8 of an acre of land
Therefore, the fraction of an acre that she wants to sell = 5/8
