f(x)=2x^2+0x-5
Find the vertex
0/4=0=x
Input x into the equation to find y or f(x)
0+0-5=f(x)
(0,-5) = Vertex
Now find a random x coordinate to input into the equation.
Let's do 4.
32+0-5=f(x)=27
It may not look like a parabola due to it being uneven.
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3
21/56 which reduces to 3/8 ...or if u need a percent, it is 37.5%
Answer:
87
Step-by-step explanation:
Given is a figure of cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
z° + 93° = 180°
z° = 180° - 93°
z° = 87°
z = 87
