Answer:
9.8 inches
Step-by-step explanation:
<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
To write 1/12 as a decimal you would do 1 divided by 12. 1 goes into 12 0 times, giving you a 0 in the ones place. You would the do 120 divided by 12, giving you 10. Therefore, 1/12 as a decimal is 0.10, simplified to 0.1
Answer:
x = 6.5
Step-by-step explanation:
The sum of the angles of a triangle is 180
8x+ 10x-10 + 10x +8 = 180
Combine like terms
28x -2 = 180
Add 2 to each side
28x-2+2 = 180+2
28x=182
Divide by 28
28x/28 = 182/28
x =6.5
Sounds like a physics problem
basically we can simlpify it to this:
we toss something straight up with initial velocity 10ft/sec, assuming gravity kicks in, what is max height?
we can use the kinematic equation
![v_{f}^2=v_{0}^2+2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2%3Dv_%7B0%7D%5E2%2B2ad)
![v_f](https://tex.z-dn.net/?f=v_f)
is final velocity
![v_0](https://tex.z-dn.net/?f=v_0)
is initial velocity
a is acceleration due to gravity
d=distance traveled
if we say he tosses it straight up then when it reaches max height,
![v_f=0](https://tex.z-dn.net/?f=%20v_f%3D0)
and
![v_0=10 \frac{ft}{s}](https://tex.z-dn.net/?f=v_0%3D10%20%5Cfrac%7Bft%7D%7Bs%7D)
and we know that
![a=-32.174 \frac{ft}{s^2}](https://tex.z-dn.net/?f=a%3D%3Cspan%3E-32.174%20%5Cfrac%7Bft%7D%7Bs%5E2%7D)
so solving for d
<span>
![v_{f}^2=v_{0}^2+2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2%3Dv_%7B0%7D%5E2%2B2ad)
</span><span>
![v_{f}^2-v_{0}^2=2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2-v_%7B0%7D%5E2%3D2ad)
</span><span>
![\frac{v_{f}^2-v_{0}^2}{2a}=d](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7Bf%7D%5E2-v_%7B0%7D%5E2%7D%7B2a%7D%3Dd)
plug the numbers in
</span>
![\frac{(0)^2-(10 \frac{ft}{s})^2}{2(-32.174 \frac{ft}{s^2})}=d](https://tex.z-dn.net/?f=%5Cfrac%7B%280%29%5E2-%2810%20%5Cfrac%7Bft%7D%7Bs%7D%29%5E2%7D%7B2%28%3Cspan%3E-32.174%20%5Cfrac%7Bft%7D%7Bs%5E2%7D%29%7D%3Dd)
![1.5540498539193137315845092310561 ft=d](https://tex.z-dn.net/?f=1.5540498539193137315845092310561%20ft%3Dd)
we add that to the initial 6ft
so total of 7.5540498539193137315845092310561 ft max height
about 7.6ft