I think both of the answers are 38 because if you take it’s a supplementary angle eight equals 180 so one +2 equals 180 so if Angle measurement one equals 142 you take 80 and subtract it from 142 and you get 38 angle measurement seven is 142 and this is because it’s over 90° and it’s a bigger angle than eight is so yeah she would be 38 for both
1+1 is 2
I hope that helped
Answer:
4.46cm
Step-by-step explanation:
Volume of a frustum is expressed as;
V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))
h is the height of the frustum
r₁ and r₂ are the radii of its ends
V is the volume
Given
V = 9100cm₃
r₁ = 10cm
r₂ = 30cm
Substitute
9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))
9100 = 1/2(3.14)*h*(100+900+300)
9100 = 1.57*h*(1300)
9100 = 2,041h
h = 9100/2,041
h = 4.46cm
Hence the height of the cap is 4.46cm
Answer:
Step-by-step explanation:
Given points (0,-3) (2, 2), we can start by solving for the slope of the line by using the formula:
Let (x1, y1) = (0,-3)
(x2, y2) = (2, 2)
Plug in these values into the slope formula:
Therfore, the slope of the line is 
.
Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Using the slope (m) = and one of the given points, (2, 2), plug in these values into the slope-intercept form, y = mx + b:
y = mx + b
2 = 5 + b
Subtract 5 on both sides of the equation to solve for b:
2 - 5 = 5 + b - 5
-3 = b
The y-intercept (b) = -3.
Therefore, the equation of the line that passes through (0,-3) and (2, 2) is:
.
Answer:
45
Step-by-step explanation:
5w - 60 - 24 = 3w + 6
5w - 3w = 6 + 60 + 24
2w = 90
w = 45
