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sveticcg [70]
4 years ago
11

Which statement about a dilation with a scale factor of 3 is true?

Mathematics
1 answer:
xxMikexx [17]4 years ago
3 0

Answer:

  C.  Each side in the pre-image is multiplied by three to find the corresponding side length in the image.

Step-by-step explanation:

The scale factor multiplies every linear dimension in the pre-image. It is the ratio of image dimensions to pre-image dimensions.

So, for a scale factor of 3, each side in the pre-image is multiplied by 3.

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A forest covers 43,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are
Gelneren [198K]

Answer:

8,600 acres are old-growth trees.

Step-by-step explanation:

You can find this by multiplying the percentage by the overall number of acres

20% * 43,000 = 8,600

5 0
3 years ago
Read 2 more answers
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
What is the solution set of the compound inequality 3.5x - 10> -3 and 8x -9 <39
Eva8 [605]
I need to answer two questions in order to ask a question. sorry that i’m stupid and have no idea how to do this
5 0
3 years ago
Solve for x. PLEASE HELP ASAP
Paha777 [63]

Answer:

x = 6

Step-by-step explanation:

the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is

∠ UVW = \frac{1}{2} (UW - WU ) , then

5x + 17 = \frac{1}{2} (37x + 5 - (23x - 5) ) ← multiply both sides by 2

10x + 34 = 37x + 5 - 23x + 5

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

7 0
2 years ago
Which gives the correct values for points A, B, C, and D?<br>​
insens350 [35]

Answer:

The thing that gives corrects values for point A,B,C and D is....

Add a pic

Step-by-step explanation:

5 0
3 years ago
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