Answer:
1. slope = 4 intercept = -2
2. slope = 2/3 intercept = -4
3. slope = -1 intercept = 13
Step-by-step explanation:
V = 1/3 • π • radius cubed • height
If the volume is is 16π and the height is 3, then 16π = 1/3 • π • r cubed • 3
16π ÷ (1/3 • π • 3) = 16
radius squared = 16 √16 = 4, so radius = 4
You can also check: 1/3 • r cubed • 3 = 16 The only value left to multiply is π
Answer:
Question 1 is the third the other is right.
Step-by-step explanation:
Please refer to my attachments for visual guidelines.
We are going to solve your problem by using the pythagorean theorem, a^2+b^2 = c^2, where a and b are the legs of the triangle, and c is the hypotenuse (the longest side).
The length of the ladder is equal to 70ft (hypotenuse); one leg is the distance between the wall and the bottom of the ladder - 40 ft, the other leg is unknown for it is the distance between 10 ft above the ground and the top of the ladder-represented by "x". Using pythagorean theorem, a^2+b^=c^2, we have x^2+40^2 = 70^2. Solving the exponents, we have x^2 + 1600 = 4900.
Isolating the variable x, we have x^2 = 4900-1600. Futher simplying, x^2 = 3300. Thus, x = √
3300 or 57.4456264654 ft.
Adding 10 ft to x, therefore, the top of the leadder is 67.4456264654 ft off the ground.
Answer:
Triangle x = 30. Pentagon x = 50
Step-by-step explanation:
For the triangle,
Find the angle which is beside x in the triangle,
let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)
110 + y = 180
Y = 180 - 110
y = 70
Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180
x = 180 - 70
x = 30
For the pentagon,
Again find the angle which is beside x in the pentagon,
let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180) + 90 + y = 540
210 + 200 + y = 540
410 + y = 540
y = 540 - 410
y = 130
Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180
x = 180 - 130
x = 50
Hope this helps!