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kondaur [170]
3 years ago
12

You Have Tiangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9) After a 90 Degree Counterclockwise rotation, what is the new coordin

ate of Z'?
Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

Z'(9, - 1)

Step-by-step explanation:

For a 90 degree counterclockwise rotation about the origin,

The original coordinates of point P (x,y) will now be positioned as P' (-y,x).

Hence, given :

Triangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9)

The new position of Z denoted as Z' will be :

Z(-1, - 9) ; X = - 1 ; y = - 9

-y = - - 9 = 9

x = - 1 will remain as - 1

Z(-1, - 9) - - - > Z'(9, - 1)

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A picture that measures 24 x 16 Inches is surrounded by a map of equal width the area of the entire picture and Matt is 560 in.²
nalin [4]

Answer:

384

Step-by-step explanation:

8 0
3 years ago
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function
labwork [276]

Answer:

The time the ball will hit the ground is 1.4 seconds

Step-by-step explanation:

4 0
3 years ago
if decking cost 3.25 per square feet how much would it cost to build a deck that is 25 feet by 20 feet
Zepler [3.9K]

The cost to build a deck that is 25 feet by 20 feet is 1625

<h3>How to determine the cost?</h3>

The given parameters are:

Cost per square feet = 3.25

Dimensions = 25 feet by 20 feet

The cost to build the deck is calculated as

Cost = Cost per square feet * Product of dimensions

So, we have

Cost = 3.25 * 25 * 20

Evaluate

Cost = 1625

Hence, the cost to build a deck that is 25 feet by 20 feet is 1625

Read more about areas at:

brainly.com/question/24487155

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4 0
1 year ago
What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box. r≈ Age S
Free_Kalibri [48]

There are two data sets x and y.

X includes = 14 25 19 35 20 12 5

Y includes = 360 293 315 212 315 331 404

 to solve for the correlation coefficient, we need to get the following values step by step

Step 1: Find the mean of each set.

The mean of X = 18.571

The mean of Y = 318.571

 

Step 2: Subtract the mean of X from every value X value (denote this with letter a). Do the same for y (denote this with letter b).

The mean of X subtracted from every X value (a):

14 - 18.571 = -4.571

25 - 18.571 = 6.429

19 - 18.571 = 0.429

35 - 18.571 = 16.429

20 - 18.571 = 1.429

12 - 18.571 = -6.571

5 - 18.571 = -13.571

The mean of Y subtracted from every value of Y (b):

360 - 318.571 = 41.429

293 - 318.571 = -25.571

315 - 318.571 = -3.571

212 = 318.571 = -106.571

315 - 318.571 = -3.571

331 - 318.571 = 12.429

404 - 318.571 = 85.429

 

Step 3: Calculate: a *  b, a^2 and b^2 of every value.

For a*b

-189.388

-164.388

-1.531

-1750.816

-5.102

-81.673

-1159.388

Sum: -3352.286


For a²

20.898

41.327

0.184

269.898

2.041

43.184

184.184

Sum: 561.714


For b²

1716.327

653.898

12.755

11357.469

12.755

154.469

7298.041

Sum: 21205.714


Step 4: Solve using this formula

r = ∑a * b / √((a²)(b²))

r = -3352.286 / √((561.714)(21205.714))

 = -0.9713


The correlation coefficient is -0.971

8 0
3 years ago
Read 2 more answers
Round each measurement to the nearest ten. Then estimate the area of the rectangle.
Ainat [17]

Answer:

4000 sq inches

Step-by-step explanation:

A rectangle is given with sides 82 and 46 inches

We have to round off these dimensions to the nearest 10.

82 inches ~80 inches since 2 <5, we make it 0

Similarly 46 inches ~50 inches since 6>5

Now area

= length x width

=80(50)

=4000 square inches

Option 2 4000 sq inches is correct answer.

8 0
4 years ago
Read 2 more answers
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