Answer:
The volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Step-by-step explanation:
We are given a base diameter of a right circular cylinder as :
d = 17.5 ft.
hence radius of cylinder i.e. r =d/2 = 8.75 ft.
height of the cylinder = 24.5 ft.
now we know that volume of cylinder i.e. V is given by :
V = πr²h
putting the value of r and h in the given formula to obtain the volume
V = 3.14×(8.75)²×24.5
= 5889.95 ft³
hence, the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Abscissa - perpendicular distance from the y- axis
ordinate - perpendicular distance from the x- axis
In a point P(x,y)
x is abscissa and y is ordinate
Multiplying the first equation and multiplying it by -8/3 (to get rid of the x), we get -8y/9+7y= -64+8=-56. Therefore, -56/(-8/9+7)=y and 8- 7(-56/(-8/9+7))=x by plugging it into the second equation
Answer:
25deg 55deg 100deg
Step-by-step explanation:
There are 180deg in a triangle. We know one angle is 30deg more and the other 75deg more than the smallest angle so we subtract that from 180.
180-75-30 = 75
We divide 75deg by 3 because there are 3 angles.
75/3 = 25
So we know the smallest angle is 25deg. We have to add 30deg to one angle and 75 to the other in oder to find the remaining angles.
25+30 = 55deg
25+75 = 100deg
So the angles are 25deg, 55deg, and 100deg.
Answer:
x = 15
x = 15
The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
a. x 12
------- = --------------
20 16
using cross products
x*16 = 20 * 12
16x = 240
divide by 16 on each side
16x/16 = 240/16
x = 15
b x 6
------- = --------------
20 8
using cross products
x * 8 = 6 * 20
8x = 120
divide each side by 8
8x/8 = 120/8
x = 15
c. The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
