Answer:
![\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B%5Cpi%7D%7B6%7D%5B5%20%5Csqrt%7B5%7D-1%5D%7D)
Step-by-step explanation:
Given that:
The surface area (S.A) 
Hence the S.A is of form z = f(x,y)
Then the S.A can be represented with the equation
where :
D = cylinder 
In polar co-ordinates:
D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)
Similarly, 
and 
Therefore;
![= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0](https://tex.z-dn.net/?f=%3D%20%5B%5Ctheta%5D%5E%7B2%20%5Cpi%7D_%7B0%7D%20%5Cdfrac%7B1%7D%7B8%7D%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%5Cbegin%20%7Bbmatrix%7D%20%281%2B4r%5E2%29%5E%7B%5Cdfrac%7B3%7D%7B2%7D%7D%5Cend%20%7Bbmatrix%7D%5E1_0)
![= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]](https://tex.z-dn.net/?f=%3D%202%20%5Cpi%20%5Ctimes%20%5Cdfrac%7B1%7D%7B12%7D%5B5%5E%7B%5Cdfrac%7B3%7D%7B2%7D%7D%20-%201%5D)
![\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%5B5%20%5Csqrt%7B5%7D-1%5D%7D)
1 inch is 1/12 of a foot
3 inches is 1/4 of a foot
Number line would be divided into 12. The first spot would be 1/12, the next would be 2/12 and so on. Make a mark at 1/12 for one inch and at 3/12 for 3 inches
Answer:
The simplification for the expression is given as =( 7 + 2(a-3))/(a-3)
Step-by-step explanation:
To simplify the expression we will first convert the words to values in numbers and alphabets.
StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction
= 5/(a-3) -4/2 + 2/(a-3)
Having done that, let's move on and simplify the expression.
5/(a-3) -4/2 + 2/(a-3)
= 5/(a-3) -2+ 2/(a-3)
= 5/(a-3) + 2/(a-3) -2
= 7/(a-3) -2
=( 7 + 2(a-3))/(a-3)
Answer:
Watson's garden shop has the better deal on the lawn mower.
Hope this helped :)
Step-by-step explanation:
Watson's $130 - 50% = $65
Hartman's $130 - 40% = $78
$78 - 15% = About $66
Answer:
116.6 pounds
Step-by-step explanation:
Set up a proportion where x is the weight of her desk in pounds:
= 
Cross multiply:
x = 116.6
So, her desk is 116.6 pounds
