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3 years ago

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^2h
v = π (20^2) * 50
v = π (400*50)
v = 20,000π

B.) v = πr^2h
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