Answer:
Not necessarily...
Step-by-step explanation:
3 abosolute value is 3
Answer:
<em>h = 15.13 cm</em>
Step-by-step explanation:
<u>Lateral Surface Area of a Cone</u>
Given a right circular cone of base radius r and height h, the lateral surface area is given by:
![A=\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.
Squaring:
![A^2=\pi^2 r^2(r^2+h^2)](https://tex.z-dn.net/?f=A%5E2%3D%5Cpi%5E2%20r%5E2%28r%5E2%2Bh%5E2%29)
Dividing by ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
![\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BA%5E2%7D%7B%5Cpi%5E2%20r%5E2%7D%3Dr%5E2%2Bh%5E2)
Subtracting
:
![\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BA%5E2%7D%7B%5Cpi%5E2%20r%5E2%7D-r%5E2%3Dh%5E2)
Taking square root:
![\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%3D%5Csqrt%7B%20%5Cfrac%7BA%5E2%7D%7B%5Cpi%5E2%20r%5E2%7D-r%5E2%7D)
Substituting the values:
![\displaystyle h=\sqrt{ 251.472-22.5625}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%3D%5Csqrt%7B%20251.472-22.5625%7D)
![\displaystyle h=\sqrt{ 228.909}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%3D%5Csqrt%7B%20228.909%7D)
h = 15.13 cm
9514 1404 393
Answer:
2 pints 1 cup
Step-by-step explanation:
1 cup is 1/2 pint, so we have ...
(92 1/2 pints)/37 = (185/2 pints)/37 = (185/74) pints = 2 37/74 pints
= 2 1/2 pints
= 2 pints 1 cup
Answer:
D. 2x2x3x3
Step-by-step explanation:
2x2 is equal to 4
4x3 is equal to 12
12x3 is equal to 36
Let's call the 'secret number' <em>x</em>.
A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is <em>x</em>.
<em />Therefore:
<em>x/4=9
</em><em />We need to isolate the variable by the multiplication property of equality.
<em>x=36</em>.
As a result, the "secret number" is 36