Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)
Answer:
3 ticket = 21 $
5 ticket = 35$
so 1 ticket = 7$
9 ticket = 63$
2$ discount
total amount = 61$
Mark my answer as brainlist answer.
The correct answer is A) (1,-5)
Further explanation:
Given points are:
A(-8,7)=(x1,y1)
C(7,13)=(x2,y2)
IT is also given that
AB:BC=3:2
Which means that B divides the line segment in 3:2
Here,
m=3
n=2
To find the coordinates of B
![x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5](https://tex.z-dn.net/?f=x_B%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%5C%5C%20%3D%20%5Cfrac%7B%283%29%287%29%2B%282%29%28-8%29%7D%7B3%2B2%7D%5C%5C%3D%5Cfrac%7B21-16%7D%7B5%7D%5C%5C%3D%5Cfrac%7B5%7D%7B5%7D%5C%5C%3D1%5C%5Cy_B%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5C%5C%3D%5Cfrac%7B%283%29%28-13%29%2B%282%29%287%29%7D%7B3%2B2%7D%5C%5C%3D%5Cfrac%7B-39%2B14%7D%7B5%7D%5C%5C%3D%5Cfrac%7B-25%7D%7B5%7D%5C%5C%3D-5)
The coordinates of point B are (1,-5)
The correct answer is A) (1,-5)
Keywords: Coordinate geometry, mid-point
Learn more about coordinate geometry at:
#learnwithBrainly