Answer:
x = 16.8
Step-by-step explanation:
To get the value of x, we use Pythagoras’ theorem since what we have is a right angled triangle
Mathematically, we have it that;
the square of the hypotenuse (21) equals the sum of the squares of the two other sides
21^2 = 12.6^2 + x^2
x^2 = 21^2 - 12.6^2
x^2 = 282.24
x = √282.24)
x = 16.8
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be
.
![\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%281.5%5Ctext%7B%20m%7D%29%5E2%20%288%29%5Ctext%7B%20m%7D)
![\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%202.25%5Ctext%7B%20m%7D%5E2%20%288%29%5Ctext%7B%20m%7D)
![\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D%5Cpi%5Ctimes%200.75%5Ctext%7B%20m%7D%5E2%20%288%29%5Ctext%7B%20m%7D)
![\text{Volume of cone}=\pi\times 6\text{ m}^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D%5Cpi%5Ctimes%206%5Ctext%7B%20m%7D%5E3)
![\text{Volume of cone}=18.8495559\text{ m}^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D18.8495559%5Ctext%7B%20m%7D%5E3)
Now we will multiply total volume by $414 to find total cost.\
![\text{Total cost of soybeans}=\$414 \times 18.8495559](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20soybeans%7D%3D%5C%24414%20%5Ctimes%2018.8495559)
![\text{Total cost of soybeans}=\$7803.7161426](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20soybeans%7D%3D%5C%247803.7161426)
![\text{Total cost of soybeans}\approx \$7803.72](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20soybeans%7D%5Capprox%20%5C%247803.72)
Therefore, it will cost $7803.72 to fill the silo with soybeans.
Answer:
8 1/2 miles
Step-by-step explanation:
Please use " ' " to indicate fractions:
Andrea rode her bike 3 2/3 miles on saturday and 4 5/6 miles on sunday.
Add together 3 2/3 and 4 5/6. The LCD is 6, so 3 2/3 should be rewritten as 3 4/6. Now 3 4/6 and 4 5/6 have the same denominator, 6.
3 4/6
+4 5/6
-----------
7 9/6. Note that 9/6 = 1 1/2, so rewrite
7 9/6 as 8 3/6, or 8 1/2.
She biked 8 1/2 miles in all.
The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0
so
(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so
4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4
k+7=0
minus 7 both sides
k=-7
k=-5/4 or -7
Answer: 177.5
Step-by-step explanation:so to find to area u need to multiply 16 times 16,which gives u a area of 256. Now to find to Area of circle u need to do 5*5 becuse 5 is the radius,and that is 25. 25*3.14=78.5. So we need to subtract 256-78.5=177.5.