V = Vcyl - Vcone
V = base×height - 1/3base×height
V = (pi×5^2)(16) - 1/3(pi×4^2)(12)
V = 1256 - 200.96
V = 1055.04 cubic cm.
Answer:
5
Step-by-step explanation:
Vanilla ice cream = 3/5 x 25 = 15
Remaining = 25 - 15 = 10
Mint ice cream = 1/2 x 10 = 5
Remainder = 10 - 5 = 5 = vanilla
The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
A
Step-by-step explanation:
The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is 
where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.
This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.
Answer:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx(
)
=> dy/dx = -
=> dy/dx = -1/
