Answer:
120
Step-by-step explanation:
A: D: 10 ≤ b ≤ 12
R: 0 ≤ W(b) ≤ 120
B: D: 0 ≤ b ≤ 10
R: 12 ≤ W(b) ≤ 120
C: D: 0 ≤ b ≤ 120
R: 0 ≤ W(b) ≤ 10
D: D: 0 ≤ b ≤ 10
R: 0 ≤ W(b) ≤ 120
Answer:
$803.25
Step-by-step explanation:
Given data
Dimension for the room
Length= 21 ft
Width= 17ft
Area= L*W
Area= 21*17
Area= 357 ft^2
Lucy will need to get 357ft^2 of carpet
We are given that a square ft cost $2.25
Hence to carpet the room the cost will be $2.25*357= $803.25
we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only? well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.
we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.
let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
Answer is: C
√11 ≈ 3.3661
Which the closest to your answers is 3.3