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4vir4ik [10]
2 years ago
9

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices? A (2,1) B (8,16) C (32,4) D (32,16)

Mathematics
2 answers:
garik1379 [7]2 years ago
5 0
Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
yawa3891 [41]2 years ago
5 0

Answer:

D (32,16)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please see the attached photo.

In the photo, the four vertices are:

(-5,4)  by a scale factor of 4 (-20, 16)

(8, 4)  by a scale factor of 4 (32, 16)

(-6, -2)  by a scale factor of 4 (-24, -8)

(8, -2)   by a scale factor of 4 (31, -8)

So only D is correct.

Hope it will find you well.

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A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
2 years ago
A student spent 2 hours studying, 1 hour doing laundry, and 1 ½ hours watching television. What percentage of time was spent doi
ivanzaharov [21]
Total hours working = 4.5 hrs 
hours doing laundry = 1 hr 

Percentage of time doing laundry = 1/4.5 
Percentage of time doing laundry = 22.22%

5 0
2 years ago
Read 2 more answers
What type of triangle has side lengths of 4√5, √145 and 19?
Masja [62]

a, b, c - side lengths (a ≤ b ≤ c)

If a^2+b^2 < c^2, then is Obtuse triangle.

If a^2+b^2=c^2, then is Right triangle.

If a^2+b^2 > c^2, then Acute triangle.

a=4\sqrt5,\ b=\sqrt{145},\ c=19\to a < b < c

Check to see if the sum of the first two sides is greater than the third.

a+b=4\sqrt5+\sqrt{145}\approx9+12=21 > 19=c\\\\CORRECT

a\neq b\neq c\neq a, therefore is Scalene triangle.

a^2=(4\sqrt5)^2=4^2(\sqrt5)^2=16(5)=80\\\\b^2=(\sqrt{145})^2=145\\\\c^2=19^2=361\\\\a^2+b^2=80+145=225 < 361=c^2\\\\a^2+b^2 < c^2

It's Obtuse triangle.

5 0
2 years ago
The given equation has been solved in the table. In which step was the subtraction property of equality applied?
atroni [7]

Answer:

Option (D)

Step-by-step explanation:

Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.

If x + 2 = 2,

By the property of subtraction of equality,

x + 2 - 2 = 2 - 2

x = 0

But in the given question,

\frac{x}{2}-7=-7

\frac{x}{2}-7+7=-7+7

shows the addition property of equality in step (2)

Therefore, subtraction property of equality was not applied.

Option (D) will be the answer.

5 0
1 year ago
Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned
LenKa [72]

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

Percentage = \frac{31.29\times 100}{208.60}

Percentage = \frac{312900}{20860}

Percentage = 15%

Therefore the  Mr. Robins commision rate is 15%.

4 0
2 years ago
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