Answer:
9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric
Step-by-step explanation:
1. has no common number
2. goes down by 6 each time
3. is divided by 5 each time
The values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15
<h3>How to solve for x in the equation?</h3>
The equation statement is given as:
one third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10
Rewrite the equation as follows:
1/3 * |x - 3| + 4 = 10
Subtract 4 from both sides of the equation
1/3 * |x - 3| = 6
Multiply both sides of the equation by 3
|x - 3| = 18
Expand the equation
x - 3 = 18 and 3 - x = 18
Solve for x in both equations
x = 21 and x = -15
Hence, the values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15
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Answer:
the formula for the volume of a sphere is
![\frac{4}{3} \pi \: {r}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B3%7D%20)
r is the radius, which is half the diameter. Since the diameter of the whole sphere is 18 the radius would be half of that, which is 9. If you plug 9 into the formula you get 3052.08in.cubed. Now you must find the volume of the smaller core, the diameter of the core is 3, so the radius is 1.5 and if you plug that into the formula you get 14.13in.cubed. Since you're finding only the volume of the outside layer, you would subtract the volume of the core from the whole sphere, so 3052.08-14.13=3037.95
Your answer is 3037.95in.cubed
Answer:
x = 48
y = 21
Step-by-step explanation:
To find the value of x and y, using the definition of supplementary angles, create an equation to find x and y as follows:
Finding y:-
(supplementary angles definition)
Solve for y
Collect like terms
Finding x:-
(supplementary angles definition)
Solve for x
Combine like terms
![x = 48](https://tex.z-dn.net/?f=%20x%20%3D%2048%20)
Answer:
theta = 60 degrees
Step-by-step explanation:
tan theta = sqrt(3)
Take the inverse tan of each side
tan ^-1 tan theta = tan ^-1 (sqrt(3))
theta = 60 degrees