Answer:
1250 pounds.
Step-by-step explanation:
The weight of the cargo truck = 8750 pounds
Weight Limit = 5 tons
To determine what weight of cargo can be added, we simply subtract the weight of the cargo truck from the weight limit.
First, we ensure they are both in same metric units.
Now: 1 ton = 2000 pounds
Therefore, 5 tons = 5 X 2000 = 10000 pounds.
Weight of cargo that can be added= Weight Limit-Truck Weight
=10000-8750
=1250 pounds.
the distance between 2 positive points on a line, would come from subtracting the 2 numbers
9.4 - 1.8 = 7.6 ( distance)
In the
plane, we have
everywhere. So in the equation of the sphere, we have
![25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2](https://tex.z-dn.net/?f=25%3D%28x-2%29%5E2%2B%28y%2B10%29%5E2%2B%28-3%29%5E2%5Cimplies%28x-2%29%5E2%2B%28y%2B10%29%5E2%3D16%3D4%5E2)
which is a circle centered at (2, -10, 0) of radius 4.
In the
plane, we have
, which gives
![25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75](https://tex.z-dn.net/?f=25%3D%28x-2%29%5E2%2B10%5E2%2B%28z-3%29%5E2%5Cimplies%28x-2%29%5E2%2B%28z-3%29%5E2%3D-75)
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the
plane,
, so
![25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2](https://tex.z-dn.net/?f=25%3D%28-2%29%5E2%2B%28y%2B10%29%5E2%2B%28z-3%29%5E2%5Cimplies%28y%2B10%29%5E2%2B%28z-3%29%5E2%3D21%3D%28%5Csqrt%7B21%7D%29%5E2)
which is a circle centered at (0, -10, 3) of radius
.
1) the answer is 30
2) the answer is 10
3) the answer is 17
4) the answer is 6
comment if you want a explanation:)
Answer:
Width = 4.5
Length = 7.5
Step-by-step explanation:
The perimeter is two times the length plus two times the width.
So 2(x+3) + 2x = 24 is the equation to solve.
2x+6+2x = 24
4x = 24-6
4x = 18
x = 9/2= 4.5
So the width = 4.5
Length = 4.5+3 = 7.5