m =(y2-y1)/(x2-x1)
m =(-2 + 3 )/(-3 -2)
m = 1/-5
m = -1/5
slope of the line that is perpendicular = 5
Answer:
V = 118 in³
Step-by-step explanation:
The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).
In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)
Using 3.14 as the approximate value of π, we get V = 118 in³
Answer:
x > 10
Step-by-step explanation:
5x - 24 > 26
Add 24 on both sides.
5x -24 + 24 > 26 + 24
5x > 50
Divide by 5 on both sides.
x > 50 ÷ 5
Find x.
x > 10
6x+5y=-15
5y=-15-6x
y=(-15-6x)/5
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
