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ASHA 777 [7]
3 years ago
8

What is the image of Q for a dilation with the center (0,0) and a scale factor of 0.5?

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

Answer: OPTION A.

Step-by-step explanation:

A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.

In this case you know that the dilation is centered at the origin and the scale factor is:

k=0.5

Therefore, the rule is the following:

Q(kx,ky)

You can identify in the figure attached that the point Q is:

Q(1,5)

Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:

Q'=(1*0.5,5*0.5)\\\\Q'=(0.5.2.5)

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A solid shape is made by joining two cones.
dlinn [17]

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

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

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

brainly.com/question/6613758

3 0
2 years ago
YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
LenaWriter [7]

Answer:

Option A: 12

Step-by-step explanation:

From the image of the triangle given, we can see that:

XM = ZM

We are given that:

XM = 2x + 2 and ZM = 4x - 8

Thus;

2x + 2 = 4x - 8

Rearrange to get;

4x - 2x = 8 + 2

2x = 10

x = 10/2

x = 5

Thus, XM = 2(5) + 2

XM = 12

4 0
3 years ago
Leta has $45 in her account in May. How much money does she have in her account in August
wariber [46]
45-15= 30-28= 2+18=20
Is that what the question was asking??
5 0
3 years ago
Help me please!!!!!!!!
kompoz [17]

Answer:

The answer is A

Mean: 2

Median: 1

Step-by-step explanation:

3 0
3 years ago
Don’t answer if you don’t know !!
DochEvi [55]

Answer:

72 sides

Step-by-step explanation:

The sum of the angles of a polygon with n sides is (n−2) × 180

Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n

Each angle is equal to 175

(n−2) × 180 / n = 175

Multiply each side by n

(n-2)180 = 175n

Distribute

180n -360 = 175n

Subtract 180n from each side

180n-180n-360 = 175n-180n

-360 = -5n

Divide each side by -5

-360/-5 =-5n/-5

72 = n

There are 72 sides

3 0
3 years ago
Read 2 more answers
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