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romanna [79]
3 years ago
12

What's -7 x 7/3 in a fraction

Mathematics
1 answer:
avanturin [10]3 years ago
3 0
It should be be cause -7 time 7 is -49 over 3 -49/3
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(6) (Bonus) Determine the Cartesian equation of the surface with spherical coordinate equation rho = 2 cos θ sin φ − 2 sin θ sin
KonstantinChe [14]

Answer:

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

\rho=2cos\theta cos\phi-2sin\theta sin\phi+2cos\phi

We have to take into account the relation between coordinates

\rho=\sqrt{x^2+y^2+z^2}\\x=\rho cos\theta sin\phi\\y=\rho sin\theta sin\phi\\z= \rho cos\phi

by substituting we have:

\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z

We have to complete squares:

(x^2-2x+1)+(y^2+2y+1)+(z^2-2z+1)-1-1-1=0\\\\(x-1)^2+(y+1)^2+(z-1)^2=3

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

hope this helps!!

4 0
3 years ago
A baseball player's batting average is found by dividing the number of hits by the number of at-bats and rounding the result to
UkoKoshka [18]

Answer:

0.39855072463

Step-by-step explanation:

3 0
4 years ago
Please help me answer part (iii) in the photo.
san4es73 [151]
A.) v = πr​^2​​h
v = π (20^2) * 50
v = π (400*50)
v = 20,000π

B.) v = πr​^2​​h
v = π (4^2) * 10
v = π (16*10)
v = 160π

C.) 20,000π ÷ 160π = 125π
So, it can fill 125 mugs.
3 0
3 years ago
What do I need to subtract from to get angle two?
ololo11 [35]
Step 1) Add up the three given angles: 125+109+83 = 317

Step 2) Subtract the result (found in step one) from 360
360 - 317 = 43

The reason for the 360 is because for any four-sided polygon, the angles always add up to 360 degrees. 

The answer is 43

3 0
3 years ago
Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to
zysi [14]

Answer:

East

Step-by-step explanation:

Starting position = North

Condition = each time you turn, you are going to turn 90 degrees

Using the image attached as a guide;

If you turn 2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

3 times to the right

- Turning the first time to the right changes the direction to South

- Turning the second time to the right changes the direction to West

- Turning the second time to the right changes the direction to North

2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

4 0
3 years ago
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