If you set them equal to each other then get the x’s and the whole numbers you get -2x = 16 then divide each side by -2 getting x = -8
Answer:
<h2>height = 110 feet </h2>
Step-by-step explanation:
From the question
Volume of the cylinder is given by
<h3>
![v = \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%20%7Br%7D%5E%7B2%7D%20h)
</h3>
To find the height first make h the subject
That's divide both sides by πr²
We have
<h3>
![h = \frac{v}{\pi {r}^{2} }](https://tex.z-dn.net/?f=h%20%3D%20%20%5Cfrac%7Bv%7D%7B%5Cpi%20%20%7Br%7D%5E%7B2%7D%20%7D%20)
</h3>
From the question
v = 35 ft³
r = 7 / 22
π = 22/7
Substitute the values into the above formula and solve for the height
That's
<h3>
![h = \frac{35}{ \frac{22}{7} \times ({ \frac{7}{22} })^{2} } \\ = \frac{35}{ \frac{22}{7} \times \frac{49}{484} } \\ = \frac{35}{ \frac{7}{22} } \\ \ = 35 \div \frac{7}{22} \\ = 35 \times \frac{22}{7} \\ = 5 \times 22](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B35%7D%7B%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%20%20%28%7B%20%5Cfrac%7B7%7D%7B22%7D%20%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%20%5Cfrac%7B35%7D%7B%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%20%20%5Cfrac%7B49%7D%7B484%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B35%7D%7B%20%5Cfrac%7B7%7D%7B22%7D%20%7D%20%20%5C%5C%20%20%5C%20%3D%2035%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B22%7D%20%20%5C%5C%20%20%3D%2035%20%5Ctimes%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5C%5C%20%20%3D%205%20%20%5Ctimes%2022)
</h3>
We have the final answer as
<h3>110 feet</h3>
Hope this helps you
The measure of angle BOC is 41 degrees
<h3>How to determine the measure of BOC?</h3>
The angles are given as:
<AOD = (5x - 4)° and BOC = (4x + 5)°
The angles are vertical angles.
So, we have:
(5x - 4)° = (4x + 5)°
Remove the bracket
5x- 4 = 4x + 5
Collect the like terms
5x - 4x = 4 +5
Evaluate the like terms
x = 9
Substitute x = 9 in BOC = (4x + 5)°
BOC = (4 * 9 + 5)°
Evaluate
BOC = 41°
Hence, the measure of angle BOC is 41 degrees
Read more about vertical angles at:
brainly.com/question/14362353
#SPJ1
<u>Complete question</u>
Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?