16+ 44 so I =60 hdndmoaoaoajebdbvdjjssksk
Answer:
- A) The radius of the sphere is 3 millimeters.
- B) The circumference of the sphere is 6π millimeters.
Step-by-step explanation:
Based on the answer selections, it appears we need to find the radius and circumference of the sphere. We can start with the volume formula in terms of the radius:
V = (4/3)πr³
36π = (4/3)πr³
(36π)(3/(4π)) = r³ = 27 . . . . . . mm³
r = ∛27 = 3 . . . . mm³
Then the circumference is ...
C = 2πr = 2π(3 mm) = 6π mm
The radius is 3 mm; the circumference is 6π mm.
The coordinates of point P are: (1/5 , -12/5)
Step-by-step explanation:
Here
R(-3,-4) = (x1,y1)
S(5,0) = (x2,y2)
The ratio is: 2:3
The coordinates of a point that divides the line in ratio m:n are given by:
Let P be the point then
![(x_P, y_P) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})](https://tex.z-dn.net/?f=%28x_P%2C%20y_P%29%20%3D%20%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%29)
Putting values
![(x_P, y_P) = (\frac{(2)(5)+(3)(-3)}{2+3},\frac{(2)(0)+(3)(-4)}{2+3})\\= (\frac{10-9}{5},\frac{0-12}{5})\\=(\frac{1}{5},\frac{-12}{5})](https://tex.z-dn.net/?f=%28x_P%2C%20y_P%29%20%3D%20%28%5Cfrac%7B%282%29%285%29%2B%283%29%28-3%29%7D%7B2%2B3%7D%2C%5Cfrac%7B%282%29%280%29%2B%283%29%28-4%29%7D%7B2%2B3%7D%29%5C%5C%3D%20%28%5Cfrac%7B10-9%7D%7B5%7D%2C%5Cfrac%7B0-12%7D%7B5%7D%29%5C%5C%3D%28%5Cfrac%7B1%7D%7B5%7D%2C%5Cfrac%7B-12%7D%7B5%7D%29)
Hence,
The coordinates of point P are: (1/5 , -12/5)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
C) 8, 15, 17
Step-by-step explanation:
![8^2 +15^2 = 17^2\\](https://tex.z-dn.net/?f=8%5E2%20%2B15%5E2%20%3D%2017%5E2%5C%5C)
Suppose, initially the ladder is so close that height of the ladder, which is 10 m to the point at which its upper end has reached.
When we pull the bottom of the ladder to such a place that it has come down by 7 m and its upper end is now 3 m from the ground. If we take the base y m, then
Using Pythagorus theorem,
y2 = 10^2 - 3^2 = 100 - 9 = 91
y = 9.54 m
The speed by which ladder was pulled was 2 m/min
So time taken to cover 9.54 m woulds be 4.77 min
As the ladder has come down by 7 m in 4.77 min, its speed for coming down was 7/4.77 = 1.47 m/min