Answer:
Radius= 8.99 mm (9 mm)
Step-by-step explanation:
We use the formula for the volume of a cone which is
1/3 pi ×(radius)^2 *height
932.58 = (pi) × (11) ×(r^2/3)
Radius^2 = (932.58×3) / (11pi)
= 80.96m
Radius= 8.99mm
I am 100% sure it is A. I did the test and it showed it was A.
Please leave a thanks.
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
We know, Area = Length * Width
So, with area 42, dimensions could be: 1 * 42
2 * 21
3 * 14
6 * 7
Just draw the lines with that measures, two pair of two equal opposite lines.
Hope this helps!
Answer:
Step 2 is wrong.
It should be 3x – <u>18</u> + 4x + 12 – 6x
Explanation:
3(x – 6) + (4x + 12) – 6x →
3x – 18 + 4x + 12 – 6x →
(3x + 4x – 6x) + (-18 + 12) →
x – 6
