To solve this problem, we are going to use the formula for finding the volume of a sphere, which is 4/3 * π * r³.
We can observe from the diagram that the diameter is 14 and we know that the radius is 1/2 of the diameter.
1/2 * 14 = 7
Thus, the radius of the sphere is 7.
Now, let's find the area by using the formula.
4/3 * π * r³ = 4/3π * 7³ = 4/3π * 343 = 457 1/3 * π ≈ 1436.76 feet³
Therefore, your answer is 1436.76 feet³, or the second option.
Hope this helps!
Answer: 69
Step-by-step explanation: Percent multiplied by the total number of students: 8/100 x 75 = 600/100. (remember it is 8/100 because it’s 8%.)
Then you simplify which will then get you 6.
Afterwards you need to subtract those 6 students from the group of 75. 75-6=69. So, 69 students.
Answer:
![13 \frac{1}{3} c - 1 \frac{1}{2}](https://tex.z-dn.net/?f=13%20%5Cfrac%7B1%7D%7B3%7D%20c%20-%201%20%5Cfrac%7B1%7D%7B2%7D%20)
Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3
![\frac{14}{1} c - \frac{2}{3} c](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%7D%7B1%7D%20c%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20c)
Multiply 14/1 by 3/3 to get the denominators the same
![\frac{42}{3} c - \frac{2}{3} c](https://tex.z-dn.net/?f=%20%5Cfrac%7B42%7D%7B3%7D%20c%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20c)
Subtract
![\frac{40}{3} c](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B3%7D%20c)
simplify
![13 \frac{1}{3} c](https://tex.z-dn.net/?f=13%20%5Cfrac%7B1%7D%7B3%7D%20c)
now
![\frac{3}{10} - \frac{9}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B10%7D%20%20-%20%20%5Cfrac%7B9%7D%7B5%7D%20)
Multiply 9/5 by 2/2
![\frac{3}{10} - \frac{ 18}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B10%7D%20%20-%20%20%5Cfrac%7B%2018%7D%7B10%7D%20)
Subtract
![- \frac{15}{10}](https://tex.z-dn.net/?f=%20%20-%20%5Cfrac%7B15%7D%7B10%7D%20)
Simplify
![- 1 \frac{1}{2}](https://tex.z-dn.net/?f=%20-%201%20%5Cfrac%7B1%7D%7B2%7D%20)
put both together
![13 \frac{1}{3}c - 1 \frac{1}{2}](https://tex.z-dn.net/?f=13%20%5Cfrac%7B1%7D%7B3%7Dc%20%20-%201%20%5Cfrac%7B1%7D%7B2%7D%20)
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
the answer would be 5
Step-by-step explanation:
:3
.
Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.
<h3>How to find the bisector of ST?</h3>
In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
For exercise 1, we have:
ST = SM + MT
ST = 19 + 19
ST = 38.
For exercise 2, we have:
First of all, we would determine the value of x as follows;
3x - 6 = x + 8
3x - x = 8 + 6
2x = 14
x = 14/2
x = 7.
ST = SM + MT
ST = 3x - 6 + x + 8
ST = 3(7) - 6 + 7 + 8
ST = 30.
Read more on bisectors here: brainly.com/question/2878035
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