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kotykmax [81]
3 years ago
7

Can someone help on this one

Mathematics
1 answer:
Ket [755]3 years ago
5 0

14^2+9^2=x^2\\196+81=x^2\\x^2=277\\\sqrt{x^2} =\sqrt{277} \\

x≈16.64

Hope this helped!

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What is the perimeter and area of the composite figure?
sergij07 [2.7K]

Answer:

P = 33

A = 3900

Step-by-step explanation:

8 0
2 years ago
Evaluate arithmetic series:-<br><br> Step-by-step answer, please!
lorasvet [3.4K]

Let's see

\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)

\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)

\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363

So

  • a=7
  • l=-1363
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Sum:-

\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l]

\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)

\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)

\\ \rm\Rrightarrow 275(-678)

\\ \rm\Rrightarrow -186450

4 0
2 years ago
Read 2 more answers
What is the lateral and surface area? I will give the brainliest if you answer correctly and no links or you will be reported ​
jeyben [28]

Answer:

Lateral: 560

Surface Area: 560 + 96\sqrt{3}

Step-by-step explanation:

Well, we know that the lateral area is just the surface area subtracted by the hexagon base of the figure. Thus, if we (1) find the area of one of the triangular faces and multiply by 6, we get the lateral area. And then, if we (2) add the area of the hexagonal base, we get the surface area.

Let's do (1) first to get the lateral area

They mention that the base of one of the triangular faces is 8 and its height (which is the slant height) is 20. So the area is simply 20 * 8/2 = 80

Then, we multiply by 6 because there are 6 of these triangles and get 560

So the lateral area is 560

Let's do (2) next to find the surface area

If we add the area of the hexagonal base to 560, we obtain the surface area

The hexagon is a regular hexagon with a length of 8. Now, the area of a hexagon 3\sqrt{3}  * s^2 /2 where s is the side. We can obtain this formula if we separate the hexagon into 6 equilateral triangles.

Plugging in 8 for s we get 96\sqrt{3}

So the surface area is 560 + 96\sqrt{3}

7 0
2 years ago
20 POINTS!
mylen [45]
Option 1.
sin(2x) = 2sin(x)cos(x)
cos(2x) = 1 - 2sin(x)^2
4 0
3 years ago
A fractal tree starts with a single tree branch (the trunk). At each stage, each new branch from the previous stage grows two mo
AleksandrR [38]
A) New branch in:

2nd stage=2

3rd stage=4

4th stage=8

which can be listed as 2,4,8,...

Here,

2nd term/1st term=4/2=2

3rd term/2nd term=8/4=2

Since common ratio is 2, the given sequence is geometric sequence.

b) The required function is,

B(n)=2^(n-1)

{just put n=1,2,3.. here to check if it gives accurate no of branches in each step or not}

where n is stage number

c)Using above function to calculate total no of branches growing out in the 8th stage,

B(8)=2^(8-1)=2^7=128
3 0
2 years ago
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