<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
Angles a and e! they’re alternate interior angles, therefore they are congruent.
1/2x-7=1/3x-4,
1/2x-3=1/3x,
1/2x-1/3x=3
1/6x=3/1/6
Final answer x=18
I hope you understand and best wishes!!
-4(8-3x)≥6x-8
Expand the left side.
-32+12x≥6x-8
Add 32 to both sides
12x≥6x+24
Subtract 6x.
6x≥24
Divide both sides by 6.
x≥4
Answer: x ≥ 4