Answer:
The correct answer, again, is A; Z = -0.6
Answer:
![x=8](https://tex.z-dn.net/?f=x%3D8)
Step-by-step explanation:
<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u>:</u><u>-</u></h3>
![RS=28](https://tex.z-dn.net/?f=RS%3D28)
![RT=3x+4](https://tex.z-dn.net/?f=RT%3D3x%2B4)
<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u>:</u><u>-</u></h3>
<u>Solve</u><u> </u><u>for</u><u> </u><u>x</u><u>.</u>
<h3><u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>:</u><u>-</u></h3>
<h3>
![=>RS = RT](https://tex.z-dn.net/?f=%3D%3ERS%20%3D%20RT)
</h3>
[Tangent of same circle are equal]
![=>3x+4=28](https://tex.z-dn.net/?f=%3D%3E3x%2B4%3D28)
![=>3x=28-4](https://tex.z-dn.net/?f=%3D%3E3x%3D28-4)
![=>3x=24](https://tex.z-dn.net/?f=%3D%3E3x%3D24)
![=>x=\frac{24}{3}](https://tex.z-dn.net/?f=%3D%3Ex%3D%5Cfrac%7B24%7D%7B3%7D)
<h3>
![=>x=8](https://tex.z-dn.net/?f=%3D%3Ex%3D8)
</h3>
<h3><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u></h3>
The volume of a cylinder:
V = πr²H
A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.
H = 3r ⇒ H = 3 · 5in = 15in
subitute:
V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)
Answer: V = 1,177.5 in³
Prime numbers are: 11, 13, 17, 19, 23
3b is greater than or equal to 13
3b > 13
b > 13/3
b is greater than or equal to 13/3