Step-by-step explanation:
1) x - 5 = - 2
x = - 2 + 5
x = 3
2) - 6 + x = - 9
x = - 9 + 6
x = - 3.
3) x/4 = 6/8
Cross multiply
8x = 24
x = 24/8 = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5 = 3
6) x/3 = 9
x / 3 - 9
x - 3
x = 3
Answer: 756
Step-by-step explanation:
The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.
Complete question is;
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?
Answer:
Diameter is decreasing at the rate of 5/(2πr) cm/hr
Step-by-step explanation:
We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;
dV/dt = -50 cm/hr
Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;
V = πr²h
dV/dr = 2πrh
Now,to find the rate at which the diameter is decreasing, we'll write;
dr/dt = (dV/dt)/(dV/dr)
dr/dt = -50/(2πrh)
We are given;
Diameter = 200 cm
Radius; r = 200/2 = 100 cm
Thickness; h = 10 cm
Thus;
dr/dt = -50/(2π × r × 10)
dr/dt = -5/(2πr) cm/hr
Answer:
59 degrees
Step-by-step explanation:
The total amount of degrees for a triangle must add up to 180 degrees.
74 + 47 = 121
180 - 121 = 59
Thus meaning the missing exterior angle measure is 59 degrees.
I hope this helped! :)
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