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3 years ago

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in 25 minutes Li can run 10 laps around the track. consider the number of laps she can run per minute

2 answers:

Tresset [83]3 years ago

8 0

She can run 2.5 miles a minute

strojnjashka [21]3 years ago

7 0

Here you are going from 25 minutes to 1 minute; essentially, if you look at this algebraiclly you have 25 min=10 laps to 10 minutes= x laps; set up a proportion for this to get: 25 min/10 laps =1minutes/ x laps Solving by cross multiplying; multiply the denominator to the opposite numerator (this makes more sense when writing as a fraction; you will multiply in an "x" shape) then solve as the algebra problem of 25=10x ; divide both sides by 10 to isolate x and this will give you the answer of x=2.5

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The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g

Mandarinka [93]

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

$A_x=-10 \\A_y = 8$

We are supposed to find What angle does this vector make with the positive x axis

$tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}$

Now ,

$\alpha = 180-38.65=141.35^{\circ}$

So, this vector make an angle of 141° with the positive x axis

7 0

3 years ago

Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

#learnwithBrainly

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n200080 [17]

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