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3 years ago

Solve each equation

Mathematics

1 answer:

Darya [45]3 years ago

7 0

Answer:

r= 0

r= 1

b= -3

x= -3

Step-by-step explanation:

4r-8r=0

-4r=0

r=0

-15=-8r-7r

-15= -15r

r=1

3b+7-1=-3

3b= -3-7+1

3b= -9

b= -9/3

b=-3

3x+1-6x=7

-3x= 7-1

-3x= 6

x= -6/3

x= -3

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A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe

Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

$\omega=\frac{v}{r}$ ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

$47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}$

next, you replace the values of v and r in the equation (1):

$\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}$

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

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3 years ago

I need help on this question <br> Factor by grouping.<br> 2u^3+3u^2+14u+21

Andru [333]

U^2(2u+3)+7(2u+3)

(u^2+7)(2u+3)

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2 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

My name is Ann [436]

Answer:

7.8

Step-by-step explanation:

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2 years ago

The equation of line L, is y = 5x + 1

Lynna [10]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Rearrange 2y - 10x + 3 = 0 into this form

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2y = 10x - 3 ( divide all terms by 2 )

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3 years ago

Help please explain

MatroZZZ [7]

Given:

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

To find:

The correct equivalent equation.

Solution:

We have,

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

Taking sin on both sides, we get

$\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A$

$\dfrac{5}{8}=\sin A$ $[\because \sin (\sin^{-1}\theta )=\theta]$

Interchanging the sides, we get

$\sin A=\dfrac{5}{8}$

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3 years ago