Volume of the sphere is 4/3*pi*r^3
here, r is 11 yd.
volume = 4/3*pi*11^3
= 4/3*pi*1331
= 5575.28 yd^3
= 5575.3 yd^3
Answer:
The measure of the angles are 46, 89, and 41 degrees.
Step-by-step explanation:
In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.
x + 2x - 3 + x - 5 = 180
4x - 8 = 180
4x = 188
x = 46
Now we can find the value of each angle using the value of x.
Angle 1:
x = 46
Angle 2:
2x - 3
2(46) - 3
92 - 3
89
Angle 3:
x - 5
46 - 5
41
Answer:
Step-by-step explanation:
Any linear equation can be written as y = mx + b
The point will determine b
The slope (m) is found by this formula for a perpendicular line
m1 * m2 = - 1
m1 = -1/m2
m1 = -1/(-2/3)
m1 = 3/2
So our equation looks like
y = 3/2 x + b
Now we use the point (4,-8)
-8 = 3/2 (4) + b
-8 = 3(2) + b
-8 = 6 + b
b = - 14
The answer is
y = 4/2 - 14
Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
- k is the constant of variation
- k can be found using the initial value of x and y
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵ 
= 
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x
