w + 4
------------------------
l l
l l w
l l
------------------------
Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w
Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds
1.Simplify/combine like terms:
w + 4 + w + w + 4 + w =
4w + 8 =
Now it's a 2-step algebra equation
4w + 8 = 60
2.Subtract 8 on both sides
4w = 56
3.Divide both sides by 4
w = 14
We have:
Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm
We know the formula to find volume of cone is
![\frac{1}{3} r^{2} \pi h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20r%5E%7B2%7D%20%20%5Cpi%20h%20)
We need to find the radius of the base of the cone
![535= \frac{\pi r^{2}8} {3}](https://tex.z-dn.net/?f=535%3D%20%5Cfrac%7B%5Cpi%20%20r%5E%7B2%7D8%7D%20%7B3%7D%20)
![535*8= \pi r^{2}](https://tex.z-dn.net/?f=535%2A8%3D%20%5Cpi%20%20r%5E%7B2%7D%20)
![\frac{4280}{\pi}= r^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4280%7D%7B%5Cpi%7D%3D%20r%5E%7B2%7D%20%20%20)
![r= \sqrt{ \frac{4280}{ \pi} }](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%7B%20%5Cfrac%7B4280%7D%7B%20%5Cpi%7D%20%20%20%7D)
![r=36.9](https://tex.z-dn.net/?f=r%3D36.9)
to the nearest one decimal place
The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
Answer:
y=3
Step-by-step explanation:
(i used point-slope form which is (y1-y2)=m(x1-x2))
(10-y)=7(4-3)
10-y=7
-y=-3
y=3
Answer:
The answer would be 31,737 elks.
Step-by-step explanation:
You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.
I hope this helps
Answer:
y=3
Step-by-step explanation:
To solve this 2 step equation, we need to get y alone. Lets write out the equation
-2y+16=10
Subtract 16 from both sides
-2y-16+16=10-16
Subtract
-2y=-6
divide both sides by -2
-2y/-2=-6/-2
divide
y=3