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3 years ago

a tree increases in diameter each year by .51 cm. If the tree currently has a diameter of 4 inches, how old is the tree

1 answer:

8 0

This one is a little tricky because of the conversion but .51 cm converts to roughly .2 inches (actually its .200787 but we will round to .2 for ease of math). 4 in/.2in = 20

Therefore the tree is 20 years old.

Footnote 1cm is equal to .3937 inches so it would be .51cm * .3937in = .200787in

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Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image?

Mashutka [201]

Answer:

4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)

Step-by-step explanation:

The formula for dilations are

$\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)$ where t1 is the scale factor

F has coordinates (6,5) so you can write

$(6*0.5,5*0.5)$

Multiply 6 by 0.5 and 5 by 0.5 to get

$(3,2.5)$

Next, do G. It has coordinates (10, 1) so you can write

$(10*0.5, 1*0.5)$

Multiply 10 by 0.5 and 1 by 0.5 to get

$(5, 0.5)$

Finally, point H has coordinates (2, 1) so you can write

$(2*0.5, 1*0.5)$

Multiply 2 by 0.5 and 1 by 0.5 to get

$(1, 0.5)$

Hope this helps. Feel free to ask any follow-up questions.

Have a great day! :)

7 0

3 years ago

Find the equivalent expression 5^6

Naily [24]

5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents.
Thus 12-6 = 6.

6 0

4 years ago

An art student is searching for a rectangular canvas to paint on. His professor requires that both the height and width of the c

Pavlova-9 [17]

H>12 and w>12 however p≤60

p=2(h+w) but give what we have above for h and w

p>48 so p must satisfy the solution set:

48<p≤60 and since p=2(h+w)

48<2(h+w)≤60

24<h+w≤30

So there are infinitely many solutions if h and w are not restricted to integer values...

(h,w) vary from (12,18) to (18,12) Note that neither endpoints exist, 12 because it is explicitly excluded and 18 because that would make the other dimension 12 which is excluded...

Now if you are just talking integer values, there are only:

(13,17),(14,16),(15,15),(16,14),(17,13)

4 0

3 years ago

Please help. 20 points! and brainliest!

rjkz [21]

Answer:

7=285

8=4.8

9=8

Step-by-step explanation:

mark brainlyest

4 0

3 years ago

Given an exponential function for compounding interest, A(x) = P(.96)x, what is the rate of change?

uranmaximum [27]

Answer:

The rate of change is positive 96%

Step-by-step explanation:

.96 = 96%

4 0

3 years ago