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Korolek [52]
3 years ago
10

Find the sum of the first 30 terms in the series: 2,4,8,16,...

Mathematics
1 answer:
MrMuchimi3 years ago
4 0

Answer:

930

Step-by-step explanation:

1) Once upon a time there was a bored kid in class who invented a super cool formula

This formula goes like this:

n(n+1)

where n= the sum of the first n numbers in a series

so

30(30+1)=30(31)=930

930

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Answer:

He spent 52.5 minutes reading.

Step-by-step explanation:

The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5

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Ilya [14]

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

cos(37)=\frac{11}{x}

step 1 multiply each side by x

cos(37)*x=xcos(37)\\\frac{11}{x} *x=11

now we have xcos(37)=11

step 2 divide each side by cos(37)

\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

We would get that the answer is 13.8

3 0
2 years ago
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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