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Arlecino [84]
2 years ago
12

Sin30=4/sqrt{3}/x How to solve?

Mathematics
1 answer:
iragen [17]2 years ago
6 0

Answer:

x=\dfrac{8}{\sqrt3}

Step-by-step explanation:

Given that,

\sin(30)=\dfrac{\dfrac{4}{\sqrt3}}{x} ...(1)

We need to find the value of x.

We know that,

sin30 = 1/2

Use it in equation (1).

\dfrac{1}{2}=\dfrac{\dfrac{4}{\sqrt3}}{x}\\\\x=\dfrac{4}{\sqrt3}\times 2\\\\x=\dfrac{8}{\sqrt3}

So, the value of x is equal to \dfrac{8}{\sqrt3}.

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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
2 years ago
Luca has a book collection of 95 books. She has read 3/5 of the books in her collection. If Luca reads 12 more books this summer
jenyasd209 [6]

Answer:

68

Step-by-step explanation:

4 0
3 years ago
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LenaWriter [7]
You would keep the 2 hour for the whole number of the mixed number and then, make the minutes (15) as a fraction with 60, and divide them both by 20. that is just for the mixed number.
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3 years ago
A ride at a theme park lasts 1 1/2 minutes. It takes 2 minutes to prepare the ride for each trip. How many times can the ride be
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8 or 8 1/2 because you won't finish the ride due to 28 + 3 1/2 being odd
3 0
3 years ago
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What is the distance between points A and B?
galina1969 [7]
-4,-3,-2,-1,0
which means 4 numbers
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2 years ago
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