Find the unit rate for this situation: ride a bike 64 miles in 4 hours

Start with Chanel’s sequence. How does a 90-degree counterclockwise rotation about the origin change the coordinates of a shape?

zmey [24]

When a shape is rotated, it must be rotated through a point.

90 degrees counterclockwise rotation negates the y-coordinates, and then swap the x and y-coordinates
Chanel is incorrect

The rule of 90 degrees counterclockwise is:

$(x,y) \to (-y,x)$

This means that:

The y-coordinate is negated
Then the y and x coordinates are swapped

However, Charlies transformation is incorrect.

This is so because, the shape was not rotated, but instead it was reflected across the x-axis.
Then, the shape was dilated

Using points L and Q

$L=(1,1)$

When L is reflected across the x-axis.

The rule is:

$(x, y) \to (x, -y)$

So, we have:

$(1, 1) \to (1, -1)$

Next, it is dilated by 2.

The rule of this is:

$(x,y) \to k(x,y)$

So, we have:

$(1,1) \to2 \times (1,-1)$

$(1,1) \to (2,-2)$

From the diagram, the coordinate of Q is:

$Q = (2,-2)$

Same as the calculated point

Hence, Chanel is incorrect

Read more about transformation at:

brainly.com/question/11709244

8 0

2 years ago

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A 400-meter Olympic-size track can be modeled with a rectangle and two semicircles.

pishuonlain [190]

The answer to both the subparts using the circumference of the circle is:

(A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
(B) The area of green space on the track is 0.64m².

<h3>What is a length of a rectangle?</h3>

The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

What is a circumference of a circle?

The distance along a circle's perimeter is referred to as its circumference.
Circumference of the circle formula: C = 2πr.

Here,

(A) A circuit of a racetrack is equal to the sum of the two lengths of a rectangle and the circumference of the circle.

We get:

= 84.39 * 2 + 73π
= (168.78 + 73π)m

(B) Let the area of the green space of the track is x.

Then, calculate as follows:

168.78 + xπ = 400
x = (400 - 168.78)/π
x = 73.64m

So, the inner circle of distance is 73.64 - 73 = 0.64m.

Therefore, the answer to both the subparts using the circumference of the circle is:

(A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
(B) The area of green space on the track is 0.64m².

To learn more about the circumference from the given link

brainly.com/question/18571680

#SPJ13

7 0

1 year ago

Please help i have 1 hour to compleate

solniwko [45]

Answer:

2nd one is right

I am confused boii

Step-by-step explanation:

LIVE AND LET LIVE music on the outline map of india mark

3 0

3 years ago

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Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe

Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

$x+y=10$ ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

$y=\frac{1}{2}x+4$ ---> equation B

substitute equation B in equation A

$x+\frac{1}{2}x+4=10$

solve for x

$\frac{3}{2}x=10-4$

$\frac{3}{2}x=6\\x=4$

Find the value of y

$y=\frac{1}{2}(4)+4=6$

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0

3 years ago

Solve for k. 12/k = 3

hram777 [196]

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

5 0

4 years ago

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