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3 years ago

A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?

Mathematics

2 answers:

garri49 [273]3 years ago

7 0

Answer:

16 cm

Step-by-step explanation:

1.6 m = 160 cm

Model length = 160 / 10 = 16 cm

klio [65]3 years ago

3 0

Answer:

160 cm

Step-by-step explanation:

1 : 10

1.6 : x

Cross multiply.

1 × x = 10 × 1.6

x = 160

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emmainna [20.7K]

Answer:

Part 1) $y=-x^{2}$ ---> Translated up by 1 units

Part 2) $y=x^{2}+1$ ---> Reflected across the x-axis

Part 3) $y=-(x+1)^{2}-1$ ---> Translated left by 1 unit

Part 4) $y=-(x-1)^{2}-1$ ----> Translated right by 1 unit

Part 5) $y=-x^{2}-1$ ----> Reflected across the y-axis

Part 6) $y=-x^{2}-2$ ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

$y=-x^{2}-1$ ----> this is a vertical parabola open downward with vertex at (0,-1)

<em>Calculate each case</em>

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

$y=-x^{2}$

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

$y=x^{2}+1$

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

$y=-(x+1)^{2}-1$

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

$y=-(x-1)^{2}-1$

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

$y=-x^{2}-1$

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

$y=-x^{2}-2$

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3 years ago

Jon is paid $20 to mow his neighbor's yard. It takes three hours to mow and $2 worth of gasoline. How much does Jon earn per hou

noname [10]

Jon earns 6 dollars per hour.

We know this because, if he gets paid $20 and buys $2 worth of gasoline, his profit is $18.

Then, we divide 18 by the number of hours he worked, 3, and thus, Jon earns $6/hr.

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3 years ago

AC=22,BC=x+14, and AB=x+10 find x

Elena-2011 [213]

Answer:

AB + BC = AC Segment Addition Postulate

(x + 10) + (x + 14) = 22 Substitution

2x + 24 = 22 Simplify (added like terms)

2x = -2 Subtraction Property of Equality

x = -1 Divison Property of Equality

Answer: x = -1

Step-by-step explanation:

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3 years ago

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If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.

Finger [1]

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9 multiply all terms by -1

9x +27y =9 equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

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3 years ago

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