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Andru [333]
3 years ago
11

Please solve (thank you)

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

sin 40° / x = sin 90° / 35

x = (sin 40° x 35) / sin 90°

x = 22.498 m

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Idk help me what is 23x+15y=200
Ratling [72]

Answer: x= −15/23  y+ 200/23 There you go!

7 0
4 years ago
Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
4 years ago
√-1<br> factor completely without any 'i'
Tanzania [10]

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

8 0
3 years ago
Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, and
spin [16.1K]

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.

5 0
3 years ago
Convert 3(3.14)/8 radians to degrees
wolverine [178]
67.5 degrees

3pi/8 * 180/pi = 67.5
6 0
4 years ago
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