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3 years ago

The formula to find the volume of a sphere is V=3.14r^3 where r is the

Mathematics

1 answer:

aniked [119]3 years ago

4 0

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

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Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40

alexgriva [62]

x = # of hours the bike was rented.

$40 = $12 + $7x

Subtract $12 from both sides.

$28 = $7x

Divide both sides by $7

4 = x

Sandy rented the bike for 4 hours.

8 0

3 years ago

How do I get (tan^2(x)-sin^2(x))/tan(x) equal to (sin^2(x))/cot(x)

shepuryov [24]

$LHS\\ \\ =\frac { \tan ^{ 2 }{ x-\sin ^{ 2 }{ x } } }{ \tan { x } } \\ \\ =\frac { 1 }{ \tan { x } } \left( \tan ^{ 2 }{ x-\sin ^{ 2 }{ x } } \right)$

$\\ \\ =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^{ 2 }{ x } }{ \cos ^{ 2 }{ x } } -\frac { \sin ^{ 2 }{ x\cos ^{ 2 }{ x } } }{ \cos ^{ 2 }{ x } } \right) \\ \\ =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^{ 2 }{ x-\sin ^{ 2 }{ x\cos ^{ 2 }{ x } } } }{ \cos ^{ 2 }{ x } } \right)$

$\\ \\ =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^{ 2 }{ x\left( 1-\cos ^{ 2 }{ x } \right) } }{ \cos ^{ 2 }{ x } } \\ \\ =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^{ 2 }{ x\cdot \sin ^{ 2 }{ x } } }{ \cos ^{ 2 }{ x } } \\ \\ =\frac { \cos { x } \sin ^{ 4 }{ x } }{ \sin { x\cos ^{ 2 }{ x } } } \\ \\ =\frac { \sin ^{ 3 }{ x } }{ \cos { x } }$

$\\ \\ =\sin ^{ 2 }{ x } \cdot \frac { \sin { x } }{ \cos { x } } \\ \\ =\sin ^{ 2 }{ x } \cdot \frac { 1 }{ \frac { \cos { x } }{ \sin { x } } } \\ \\ =\sin ^{ 2 }{ x } \cdot \frac { 1 }{ \cot { x } } \\ \\ =\frac { \sin ^{ 2 }{ x } }{ \cot { x } } \\ \\ =RHS$

8 0

3 years ago

Rewrite using negative exponent: 5/x^2

STALIN [3.7K]

The rule for negative exponents is that if the exponent is negative to begin with, in order to make it negative, you put it into the denominator of a fraction, and raise it to whatever the power is. To go from positive exponents (those that are already in the denominator), move it up to the numerator and make the exponent negative. So your solution would be 5x^-2

5 0

3 years ago

Read 2 more answers

HElp please i need help in question number 5????

likoan [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

William recently purchased a new car for $28,000. The car’s value depreciates 7% each year. What will be the value of the car 5

jarptica [38.1K]

Answer:$18200

Step-by-step explanation:

Find the depreciating price after one year

7% of 28000

7/100* 28000=$1960 is the depreciating cost

Multiple the depreciating cost by 5 year

1960*5=9800

Actual cost - depreciating cost after 5 year

28000-9800= $18200

7 0

2 years ago