Volume of sphere:
, put $r=5 in$
Volume of cylinder:$ \pi r^2 h$, put $r=8 in, \: h=11 in$
Answer:
Point
lies on
axis and point
lies quadrant III.
Step-by-step explanation:
A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.
Here, coordinate axes are
axis and
axis.
Let's first mark the points in the coordinate plane.
See the attached figure.
From the figure, it can be observed that point
lies on
axis and point
lies quadrant III.
Answer:
80
Step-by-step explanation:
Answer:
0.5 pints
Step-by-step explanation:
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly
There were 40 questions on the test.
![x+y=40 \\ y=40-x](https://tex.z-dn.net/?f=x%2By%3D40%20%5C%5C%20y%3D40-x)
The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
![5x-2y=95 \\ -2y=95-5x \\ y=-\frac{95}{2}+\frac{5}{2}x ](https://tex.z-dn.net/?f=5x-2y%3D95%20%5C%5C%0A-2y%3D95-5x%20%5C%5C%0Ay%3D-%5Cfrac%7B95%7D%7B2%7D%2B%5Cfrac%7B5%7D%7B2%7Dx%0A)
Set 40-x and (-95/2)+(5/2)x equal to each other:
![40-x=-\frac{95}{2}+\frac{5}{2}x \\ -x-\frac{5}{2}x=-\frac{95}{2}-40 \\ -\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\ -\frac{7}{2}x=-\frac{175}{2} \\ x=-\frac{175}{2} \times (-\frac{2}{7}) \\ x=\frac{175}{7} \\ x=25](https://tex.z-dn.net/?f=40-x%3D-%5Cfrac%7B95%7D%7B2%7D%2B%5Cfrac%7B5%7D%7B2%7Dx%20%5C%5C%0A-x-%5Cfrac%7B5%7D%7B2%7Dx%3D-%5Cfrac%7B95%7D%7B2%7D-40%20%5C%5C%0A-%5Cfrac%7B2%7D%7B2%7Dx-%5Cfrac%7B5%7D%7B2%7Dx%3D-%5Cfrac%7B95%7D%7B2%7D-%5Cfrac%7B80%7D%7B2%7D%20%5C%5C%0A-%5Cfrac%7B7%7D%7B2%7Dx%3D-%5Cfrac%7B175%7D%7B2%7D%20%5C%5C%0Ax%3D-%5Cfrac%7B175%7D%7B2%7D%20%5Ctimes%20%28-%5Cfrac%7B2%7D%7B7%7D%29%20%5C%5C%0Ax%3D%5Cfrac%7B175%7D%7B7%7D%20%5C%5C%0Ax%3D25)
Johnny answered correctly
25 questions.