8159 divided by five times two then, divide that by twenty and multiply by 13, The answer is about 2611 kids wore helmets properly while riding bike
Answer:
The way to solve this is simple.
Step-by-step explanation:
10=y-5
also can be read as y-5=10 so it would also be sayin what minus 5 equals 10.
SO 10+5= 15. Y=15
Answer:
If
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
![A = \pi \cdot r^{2} + 2\pi\cdot s](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%5Ccdot%20r%5E%7B2%7D%20%2B%202%5Cpi%5Ccdot%20s)
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
![s = \sqrt{r^{2}+h^{2}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7Br%5E%7B2%7D%2Bh%5E%7B2%7D%7D)
Where
is the altitude of the cone, measured in inches. If
, then:
![s \approx r](https://tex.z-dn.net/?f=s%20%5Capprox%20r)
And:
![A = \pi\cdot r^{2} +2\pi\cdot r](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%5Ccdot%20r%5E%7B2%7D%20%2B2%5Cpi%5Ccdot%20r)
Given that
, the following second-order polynomial is obtained:
![\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0](https://tex.z-dn.net/?f=%5Cpi%20%5Ccdot%20r%5E%7B2%7D%20%2B%202%5Cpi%20%5Ccdot%20r%20-1885.7143%5C%2Cin%5E%7B2%7D%20%20%3D%200)
Roots can be found by the Quadratic Formula:
![r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}](https://tex.z-dn.net/?f=r_%7B1%2C2%7D%20%3D%20%5Cfrac%7B-2%5Cpi%20%5Cpm%20%5Csqrt%7B4%5Cpi%5E%7B2%7D-4%5Cpi%5Ccdot%20%28-1885.7143%29%7D%7D%7B2%5Cpi%7D)
![r_{1,2} \approx -1\,in \pm 24.521\,in](https://tex.z-dn.net/?f=r_%7B1%2C2%7D%20%5Capprox%20-1%5C%2Cin%20%5Cpm%2024.521%5C%2Cin)
![r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in](https://tex.z-dn.net/?f=r_%7B1%7D%20%5Capprox%2023.521%5C%2Cin%20%5C%2C%5Cwedge%5C%2Cr_%7B2%7D%5Capprox%20-25.521%5C%2Cin)
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
First we need to make both fractions equal to each other, and that means having to have the denominators the same.
What both 3 and 12 easily go into is 12.
So we need to make both fractions have a denominator of 12, so we multiply.
2/3 * 4/4 = 8 / 12
1/4 * 3/3 = 3 / 12
Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.
8 - 3 = 5
Out of the 12 pounds of roast beef, she now has 5 / 12 left.