If you “unfold” the wrapping paper around this triangular prism, you have
2 triangles
Base 40, to find the height(dotted perpendicular line segment)
a^2 + b^2 = c^2. ... 20^2+ b^2 = 29^2 … 400+ b^2 = 841
- 400. -400
b^2 = 441 … b=21 this is height
1/2(40)(21) = 420 + 420
3 rectangles
Two are 70x29 = 2030 +2030
One is 70x40 = 2800
Add all 5 numbers:
420
420
2030
2030
+ 2800
7700
Answer:
4/10 : 1/25
4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.
10 can also be written as 10:1, so A is correct.
Hope this helps!
10 bags with 2 blueberries and 3 grapes in each bag
Answer:
Volume of cone = 200.96 square feet
Step-by-step explanation:
We are given the following information in the question:
The tree is cone shaped and has a radius of 4 feet.
r = 4 feet
The height of the tree is three times its radius.
Volume of tree =
Putting all the values, we get,
Radius of cone whose height is is equal to three times its radius is given as:
![V = \displaystyle\frac{1}{3}\pi r^2 h\\\\V = \displaystyle\frac{1}{3}\pi r^2 (3r)\\\\3V = 3\pi r^3\\\\ r = \sqrt[3]{\frac{3V}{3\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20%283r%29%5C%5C%5C%5C3V%20%3D%203%5Cpi%20r%5E3%5C%5C%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B3%5Cpi%7D%7D)
