Answer:
0.5×2/2=1/2 is the required fraction.
Using the formula, rewrite in standard form.
0.4x + y = 0.3
Hope this helps! :)
Here's the formula you need to use:
The volume of any cylinder is = (pi) x (radius)² x (height) .
Take that formula.
Write your "3 inches" in place of "radius".
Write your "12 inches" in place of "height".
Write "3.14" in place of "pi".
Do the arithmetic, and bada-bing, you'll have the volume.
The distance from the edge of the fountain to the centre is approximately 23.87 inches.
The water fountain forms a circle. The distance around the water fountain is the circumference of the circle formed.
Therefore,
circumference = 2πr
150 = 2πr
The distance from the edge of the fountain to the centre is the radius of the circle formed. Therefore,
75 = πr
r = 75 / 3.14159
r = 23.8732616287
r = 23.87 inches
The distance from the edge of the fountain to the centre is approximately 23.87 inches.
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K² + 13k + 30 = 0
This is a quadratic equation. Let's attempt solving it by factorization.
Coefficient of k² = 1, last term = 30
Multiply these two together 1*30 = 30
We think of two numbers that multiply to give 30 and add to give the middle term 13.
The two numbers are 3 and 10.
3*10 = 30, 3 + 10 = 13.
we replace the 13k with 3k + 10k
k² + 13k + 30 = 0
k² + 3k + 10k + 30 = 0
k(k + 3) + 10(k + 3) = 0
(k + 3)(k + 10) = 0
(k + 3) = 0 or (k + 10) = 0
k = 0 - 3 or k = 0 - 10
k = -3, or -10
I hope this helps.
