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netineya [11]
3 years ago
6

Give the new coordinates. Square WXYZ with vertices W(1,7), X(6,5),

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Given:

The vertices of square WXYZ are W(1,7), X(6,5),  Y(4,0), and Z(-1, 2).

Consider the rule of transformation is (x, y)\to (x-7, y-6).

To find:

The new coordinates.

Solution:

We have,

(x, y)\to (x-7, y-6)

Using the above rule of transformation, we get

W(1, 7)\to W'(1-7, 7-6)=W'(-6,1)

X(6, 5)\to X'(6-7, 5-6)=X'(-1,-1)

Y(4, 0)\to Y'(4-7, 0-6)=Y'(-3,-6)

Z(-1, 2)\to Z'(-1-7, 2-6)=Z'(-8,-4)

Therefore, the new vertices are W'(-6,1), X'(-1,-1), Y'(-3,-6) and Z'(-8,-4).

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A shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50. If you buy 8 bags and spend $37, how many
Andrew [12]

Answer:

  • 6 3-lb bags
  • 2 1-lb bags

Step-by-step explanation:

Let x represent the number of 3-lb bags purchased. Then the total purchase was ...

  $2(8 -x) +$5.50(x) = $37

  16 +3.50x = 37 . . . . . . . . . divide by $, collect terms

  3.50x = 21 . . . . . . . . . . . . . subtract 16

  21/3.50 = x = 6 . . . . . . . . divide by the coefficient of x

You bought 6 3-lb bags of peanuts and 2 1-lb bags.

4 0
3 years ago
WILL MARK BRAINLIEST NEED ANSWERS NOWW 100 POINTTTSSS.
mestny [16]

Part A:

To get the interest of 1 year

Multiply 20,000 by 5% or 0.05

You get $1,000

Thats the amount for 1 year, now to get for 4 years, multiply 1,000, by 4

She pays $4,000 in interest

Part B:

If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2

Part C:

This is the same as part b, she saves $2,000

Hope this helps

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6 0
3 years ago
Find factors of 40 that will SUBTRACT to 3 <br><br> Smaller factor:<br> Larger factor:
Cloud [144]
8 and 5 multiply to 40 but subtract to 3.
3 0
3 years ago
Find the exact value of sin G
ad-work [718]
We need to find the value of the hypotenuse in order to solve this problem.

12^2+4^2=H^2

Therefore:

H=√(144+16)

H=4√10

Now:

sin(G)=O/H=4/(4√10)

=1/(√10)

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6 0
3 years ago
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el
7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

m<ECD = 30 deg

We now use the law of sines to find EC

(sin 15)/10 = (sin 135)/EC

EC = 27.32

Because of the 30-60-90 triangle, ED = EC/2

ED = 13.66

Now we add the height of Zaheer to find AE.

13.66 + 1.5 = 15.16

Answer: 15.2 m

7 0
3 years ago
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