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jarptica [38.1K]

2 years ago

13

C The triangles in this picture are similar. Find the height of the tree.

1 answer:

Lapatulllka [165]2 years ago

4 0

Answer:

Please find attached pdf

Step-by-step explanation:

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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ

Natalka [10]

Answer:

24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

$\dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}$

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

$\dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}$

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

$S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}$

3 0

2 years ago

lana is putting a lace trim arount the border of a circular tablecloth. the tablecloth has a diameter of 1.2 meters. to the near

Inessa [10]

Answer:

4m

Step-by-step explanation:

We are looking for the circumference

We need to find the radius

r = d/2 = 1.2/2 = .6

C = 2*pi*r

C = 2*pi*(.6)

C = 1.2*pi

We can approximate pi by 3.14

C =1.2*3.14

C =3.768 m

To the nearest meter

C = 4m

8 0

2 years ago

The function f(x), shown in the graph, represents an exponential growth function. Compare the average rate of change of

svetoff [14.1K]

Answer:0

Step-by-step explanation:

6 0

1 year ago

What is 960 divided by 8 long divison

Llana [10]

It is 120 because first 8 goes into 96 which is 12. just add the 0 since u cant do anything else and it’s 120.

5 0

1 year ago

Read 2 more answers

A sweatshirt costs $35. Find the total cost if the sales tax is 7.75%.

tensa zangetsu [6.8K]

Answer:

37.7125

Step-by-step explanation:

35 * 1.0775

4 0

2 years ago