Answer:
shortest side= x
longest side= x+8
other side= 3x
x+x+8+3x= 33
5x+8=33
5x= 25
x= 5
shortest side= x= 5
longest side= x+8= 5+8= 13
other side= 3x= 3(5)=15
Step-by-step explanation:
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Answer:
The first one is No. The second one I do not know unfortunately.
Step-by-step explanation:
I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.
Answer:
7519 is already in the simplest form. It can be written as 3.947368 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Answer:
0.5 Gallons
Step-by-step explanation: