Answer:
![\sqrt[3]{3140^2\pi}\approx 146.41\ ft^2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2)
Step-by-step explanation:
The volume of the cylinder is
where r is the base radius and H is the height.
Since 
and V=1570 cubic feet, then
![1570=\pi r^2\cdot \dfrac{r}{2},\\ \\1570=\dfrac{\pi r^3}{2},\\ \\r^3=\dfrac{3140}{\pi},\\ \\r=\sqrt[3]{\dfrac{3140}{\pi}}\ ft.](https://tex.z-dn.net/?f=1570%3D%5Cpi%20r%5E2%5Ccdot%20%5Cdfrac%7Br%7D%7B2%7D%2C%5C%5C%20%5C%5C1570%3D%5Cdfrac%7B%5Cpi%20r%5E3%7D%7B2%7D%2C%5C%5C%20%5C%5Cr%5E3%3D%5Cdfrac%7B3140%7D%7B%5Cpi%7D%2C%5C%5C%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5C%20ft.)
The area of its bottom floor is
![A_{floor}=\pi r^2=\pi\cdot \left(\sqrt[3]{\dfrac{3140}{\pi}}\right)^2= \sqrt[3]{3140^2\pi}\approx 146.41\ ft^2.](https://tex.z-dn.net/?f=A_%7Bfloor%7D%3D%5Cpi%20r%5E2%3D%5Cpi%5Ccdot%20%5Cleft%28%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5Cright%29%5E2%3D%20%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2.)
The answer would be B, 5 left, 5 down. The reason behind this is that x coordinates increase as you move to the right and decrease as you move to the left. The same is true with y coordinates and up and down respectively.
So if the vertex moved from x=11 to x=6, then the x coordinate decreased, so it moved to the left by 5 (11 - 6 = 5).
Also if the vertex moved from y=9 to y=4, then the y coordinate also decreased, so it moved downward by 5 (9 - 4<span> = 5).</span>
To find the gradient of a line we first hv to find the formula
so Gradient=√X1-x2and √y1-y2
((-2,1) and (0,-5)) line 1
line 2(0,-1) and (1,0)
first we will work for line 1
X1 is -2
X2 is -0
Y1 is 1
Y2 is -1
so y=x-1
so we substitute the values
1--1=-2--0
so,
1+1=-2+0
2=-2
-0
So the equation 1 line 1 is not true
we will now go to equation 2 line 2
the equation is 3x+y=-5
we substitute the values
3(-2--0)+1--1=-5
3(-2)+-2=-5
-6+-2=-5
-8= -5
group like terms
Ur answer should look like this -3
So the answer is 3x+y=-5
It’s the third choice because the highest degree is three and there are three terms. FOR QUESTION 3
The first two choices for QUESTION 4
Answer:
D. 900 in ^3
Step-by-step explanation:
The volume of rectangular pond would be equal to the priduct of its height, width, and depth.
Volume = Length × Width × Depth
We are given
length = 15 inch
Width = 20 inch
Depth = 3inch
Volume = 15 × 20 × 3 = 900 in ^3
