Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Height = 19 cm
Since the base area is 24π cm², we would determine its radius by applying the formula,
Area of circle = πr²
24π = πr²
r² = 24
r = √24
Therefore,
Volume of cylinder = π × (√24)² × 19 = 456π cm³
It is approximately
456 × 3.14 = 1431.8 cm³
Answer:
x = 10
y = 70
Step-by-step explanation:
By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80
and 2x + y = 90
By using the substitution method on x + y = 80, it will be y = -x + 80
When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90
Then it will simplify to x = 10
After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70
Answer:
It is a right triangle.
Step-by-step explanation:
A right triangle is a triangle with at least one angle with 90 degrees.
We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle
We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)
If you take 230 subtract from 180 you will get 50 so the price for adult tickets are $50
