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3 years ago

QUICK! EASY! 50 POINTS!

Mathematics

2 answers:

bekas [8.4K]3 years ago

5 0

Answer:

Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° clockwise from point A.

Step-by-step explanation:

90° clockwise rotation of point A (1, 4) around the origin

<u>Answer options</u>

Create a line perpendicular to the y-axis from point A, and locate a point on the perpendicular line that is equidistant to the distance between the y-axis and A.

<u>Incorrect. It describes the reflection over y axis</u>

Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° clockwise from point A.

<u>Correct</u>

<u></u>

Create a line perpendicular to the x‒axis from point A, and locate a point on the perpendicular line that is equidistant to the distance between the y-axis and A.
<u>Incorrect. It is the transformation by 1 unit down.</u>

Create a circle with point A as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A.
<u>Incorrect. It is the transformation of origin but not point A</u>

Paha777 [63]3 years ago

4 0

Answer:

create a circle with the origin as its centre and a radius of the origin and point a then locate a point on a circle that is 90 degrees clockwise from point a.

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Can someone help me with this problem?????

snow_tiger [21]

The perimeter is composed of two straight parts and two semicircles. We can use this to break down the problem.

We can find the straight parts easily. They are given in the problem.

straight parts: 82 x 2 = 164 m

The two semicircles make a circle. We just have to find the circumference of a circle with a diameter of 66 cm to get the length of the semicircles.

semicircles: 2(π)(66/2) = 66(3.14) = 207.24 m

answer: 164+207.24 = 371.24 m

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3 years ago

It is predicted that the population of a particular state will double every 25 years. a) Determine the annual and monthly growth

Makovka662 [10]

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3 years ago

What 2 fun facts did you learn about the inauguration

bekas [8.4K]

1-there were a huge amount of firsts yesterday
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2 years ago

Find the percent of each number a. 50% of 46 b. 70% of 110

I am Lyosha [343]

A is 23 and the answer to b is 77

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3 years ago

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

zheka24 [161]

<h2>Hello!</h2>

The answer is:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation, we have:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

Hence, we have that:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

4 0

3 years ago

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