

suppose the following is true
Answer:
m=4
Step-by-step explanation:
−9(m+3)+14=−49
Step 1: Simplify both sides of the equation.
−9(m+3)+14=−49
(−9)(m)+(−9)(3)+14=−49(Distribute)
−9m+−27+14=−49
(−9m)+(−27+14)=−49(Combine Like Terms)
−9m+−13=−49
−9m−13=−49
Step 2: Add 13 to both sides.
−9m−13+13=−49+13
−9m=−36
Step 3: Divide both sides by -9.
−9m
−9
=
−36
−9
m=4
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
The answer is
<h2>9/100</h2>
Step-by-step explanation:
11.5/128
First convert the decimal to an improper fraction
That's

So we have

Change the division sign to multiplication sign and reverse the second number
That's

Simplify

Divide through by 32
The final answer is

Hope this helps you