a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

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Answer:

m‹F=25°

AB=12

Step-by-step explanation:

HOPE IT HELPS

Answer:

a,6. b, 6 c, -4.5. d, -9

Step-by-step explanation:

a, -3*-2

3*2. b/c of -ve * -ve is positive the answer comes 6

b, same as a

c, -3*1.5

- 4.5

d, -3*3

- 9

Answer:

Slope: 2/7

Step-by-step explanation:

y2 - y1/ x2 - x1 = 2/7

Answer:

y = 20x + 0.15s

Step-by-step explanation:

Shew makes $20 par hour, so for x hours, she makes 20x.

She makes 15% commission on the sales, s. 15% = 0.15,so for the sales, s, she makes 15% * s = 0.15s.

The total she makes is 20x + 0.15s

Answer: y = 20x + 0.15s

The equation in the form y = mx + cs models Emma’s situation is

y = 20x + 0.15s

Shew makes $20 par hour, so for x hours, she makes 20x.

The slope-intercept of the line y= mx+c

Where y co-ordinate

x-  x co-ordinate

m=slope of the given line

C-y intercept.

She makes 15% commission on the sales, s. 15% = 0.15,

So for the sales, she makes

15% * s = 0.15s.

The total she makes is 20x + 0.15s

y = 20x + 0.15s

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Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

Answer:

255 is the answer........

Answer:

I am pretty sure it is time of event.

Step-by-step explanation:

Answer:

3x-15

Step-by-step explanation:

(x-5)(8-5)

(x-5)(3)

re-order

(x-5)×3

3(x-5)

Distribute

3(x-5)

3x-15

Answer:

z=21, x=1, y=9

Step-by-step explanation:

3z=63 (a property of a kite)

z= 21

3x-1=2x (another property of a kite)

x=1

y+4=13 (another property of a kite)

y=9

Be sure to know your properties!

Answer:

If your Simplifying well the answer would be 9/20

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 18 and 40 is 2

Divide both the numerator and denominator by the GCD

18 ÷ 2

40 ÷ 2

Reduced fraction:

9

20

Therefore, 18/40 simplified to lowest terms is 9/20.

Answer:

1152000.048

Step-by-step explanation:

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1:

-5y = 3x + 7

y = -3/5x - 7/5

Line 2:

y = -5/3x + 8

Line 3:

6x - 10y = -4

-10y = -6x - 4

y = 3/5x + 2/5

Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).

Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.

Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.

Hope this helps!! :)

Answer:

x = − 10

Step-by-step explanation:

Let's solve your equation step-by-step.

4 ( x − 5 ) = 6x

Step 1: Simplify both sides of the equation.

4 ( x − 5 ) = 6x

( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )

4x + − 20 = 6x

4x − 20 = 6x

Step 2: Subtract 6x from both sides.

4x − 20 − 6x = 6x − 6x

− 2x − 20 = 0

Step 3: Add 20 to both sides.

− 2x − 20 + 20 = 0 + 20 − 2x = 20

Step 4: Divide both sides by -2.

− 2x / − 2 = 20 / − 2

x = − 10

Answer:

a. For every +1 input in x, y goes up 4 times plus 7.

b. y= 4x+7

c. 35

d. 6

Step-by-step explanation:

How to do c.

y=4x+7

y=4(7)+7

y=35

How to do d.

y=4x+7

31=4x+7

24=4x

x=6

Answer:

15.5 because you have to take away some point

Step-by-step explanation:

you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5

_______

[tex] \: [/tex]

x² = (15.8)² - (5.3)²

x² = 249.64 - 28.09

x² = 221.55

x = √221.55

x ≈ 15

Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

Answer:

The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.

Step-by-step explanation:

I hope this will help you

To solve a problem, we often Translate the given information into algebraic expressions and equations.

Step-by-step explanation:

Consider the provided statement.

In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.

For example: “6 less than twice a number"

We first need to translate it.

This can be translated as: 2n-6

Where n represents the number.

Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

x = 36.8698... ≈ 36.9°

Answer:

im really confused. but its 2,75$ per pass?/ride? sorry i cant help much

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

3(n+1) = 3n+3.

3n+3-5 = 3n-2.

3n-2 doesn't equal 3n-1, so there are no solutions.