Answer:
71.99 in³
Step-by-step explanation:
The formula to apply is that of volume of a cone where;
V=π*r²*h/3 --------where V is the volume of the container, r is the radius of the container and h is the height of the container
Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;
V= 3.14 * 2.5²* 11/3
V= 3.14 * 6.25 * 3.67
V= 71.9948
V= 71.99 in³
There is nothing to rationalize since there is no root in the denominator.
Answer:
-3
Step-by-step explanation:
The main formula for slope intercept form is y=mx+b
m=slope
b=y-intercept
Answer:
x = 2
Step-by-step explanation:
√(x + 7) − 1 = x
√(x + 7) = x + 1
x + 7 = (x + 1)²
x + 7 = x² + 2x + 1
0 = x² + x − 6
0 = (x + 3) (x − 2)
x = -3 or 2
Check for extraneous solutions:
√(-3 + 7) − 1 = -3
√4 − 1 = -3
2 − 1 = -3
1 = -3
x ≠ -3
√(2 + 7) − 1 = 2
√9 − 1 = 2
3 − 1 = 2
2 = 2
x = 2
9514 1404 393
Answer:
x = 17°
Step-by-step explanation:
The vertical angles at C are the same in each triangle, so the sums of the other two angles in the triangles are the same:
x +100° = 4x +49°
51° = 3x . . . . . . . . . . . subtract x+49°
17° = x . . . . . . . . . divide by 3
