<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
Plug in the numbers.
![A=\frac{1}{2}*9*10](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2A9%2A10)
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
![V=\frac{1}{3}*45*8](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2A45%2A8)
V = 120 in^3
Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.
Let x be the height of the flagpole, then
![\sin50^o= \frac{x}{5}](https://tex.z-dn.net/?f=%5Csin50%5Eo%3D%20%5Cfrac%7Bx%7D%7B5%7D%20)
Therefore, the <span>equation that could be used to find the height of the flagpole is
</span><span>x/5 = sin 50</span>
Answer: Mine A
Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,
![\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B4%5Csqrt%7B150%7D%7D%7B%5Csqrt%7B189x%7D%7D%5Ccdot%20%5Ccfrac%7B%5Csqrt%7B189x%7D%7D%7B%5Csqrt%7B189x%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Csqrt%7B150%7D%5Csqrt%7B189x%7D%7D%7B%28%5Csqrt%7B189x%7D%29%5E2%7D%5Cimplies%20%5Ccfrac%7B4%5Csqrt%7B%28150%29%28%7B189x%7D%29%7D%7D%7B189x%7D)
Answer:
46.74ft²
Step-by-step explanation:
A= H(b) b/2 ≈ Sum of your area