Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton
step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate
the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55
alalternative method
</span>step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb
step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>
</span>
Answer:
bruh 3
Step-by-step explanation:
Answer:
its 12 cause -36 divided by -3
Answer:
The approximate height is 8.9 cm
Step-by-step explanation:
To find the height of a cone with a diameter of 10 cm and a volume of 225 cubic centimeter, we will follow the steps below;
first, write down the formula for finding the volume of a cone
v=πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given,
diameter = 10 cm but d=2r this implies that r=
r= 10/2 = 5cm
hence r= 5cm
Also v= 225 cm³
π is a constant and is ≈ 3.14
We can now proceed to insert the values into formula and then solve for h
v=πr²
225 ≈ 3.14 × 5² × 
225 ≈ 78.5 ×
225 ≈ 
cross-multiply
675 = 75.8 h
divide both-side of the equation by 75.8
8.9 ≈ h
h≈ 8.9
Therefore, the approximate height is 8.9 cm