Answer:
Part a) 119 cups
Part b) 30 cups
Step-by-step explanation:
Part a)
step 1
Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in
The volume of the cone (cup) is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
----> the radius is half the diameter
![h=8\ in](https://tex.z-dn.net/?f=h%3D8%5C%20in)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%282%5E%7B2%7D%298%3D33.49%5C%20in%5E3)
step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so
![\frac{4,000}{33.49}= 119\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C000%7D%7B33.49%7D%3D%20119%5C%20cups)
Part b)
step 1
Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in
The volume of the cone (cup) is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
----> the radius is half the diameter
![h=8\ in](https://tex.z-dn.net/?f=h%3D8%5C%20in)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%5E%7B2%7D%298%3D133.97%5C%20in%5E3)
step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so
![\frac{4,000}{133.97}= 30\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C000%7D%7B133.97%7D%3D%2030%5C%20cups)
Simplify <span>22\times 2<span>22×2</span></span> to <span>44<span>44</span></span>
<span><span>{x}^{4}+44-16x-12<span><span>x<span><span>4</span><span></span></span></span>+44−16x−12</span></span>Collect like terms
<span><span>{x}^{4}+(44-12)-16x<span><span>x<span><span>4</span><span></span></span></span>+(44−12)−16x</span></span> Simplify</span><span><span>{x}^{4}+32-16x<span><span>x<span><span>4</span><span></span></span></span>+32−16x</span></span><span>
</span></span></span>
I don’t know there’s no picture B?
Answer:
.
Step-by-step explanation:
We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.
Angle opposite to larger side is larger.
Since, 14 < 15, therefore
...(1)
We know that, angle can not not negative.
...(2)
From (1) and (2), we get
Therefore, the range of values of x is
.