<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
Answer:
4g = 64
Step-by-step explanation:
Let n = the number of nectarines
and g = the number of grapefruit
We have two conditions that must be satisfied to represent the situation:
(1) n = 3g
(2) n + g = 64
If you need one equation, we can substitute (1) into (2) and get
4g = 64
Answer:
The admission for each person costs 27 dollars.
Step-by-step explanation:
Answer:
y=-2x-2
Step-by-step explanation:
y+4=-2(x-1)
y+4=-2x+2
y=-2x+2-4
y=-2x-2
Answer:
90
Step-by-step explanation: