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Verdich [7]
2 years ago
10

Find the sum of the first 39 terms of the following series, to the nearest integer 7,15,23,...

Mathematics
1 answer:
sertanlavr [38]2 years ago
4 0

Answer:

6201

Step-by-step explanation:

formula for series in AP

where n is the nth term and a is first term and d is difference between two terms in series sum = \frac{n}{2} (2a \:  + (n - 1)d)

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5. Find cos theta if sin theta= -12/13<br> and tan theta &gt; 0. (6 points)
ziro4ka [17]

\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}

8 0
2 years ago
Which of the following is(are) the solution(s) to %+3)=12?
MAVERICK [17]

Answer:

if by % this sign you mean x then

x=9

Step-by-step explanation:

x+3=12

x=12-3

x=9

6 0
3 years ago
Please Help, Will give Brainliest!<br> Law Of Cosines.
stealth61 [152]

Answer:

  B)  a = 6.7, B = 36°, C = 49°

Step-by-step explanation:

Fill in the numbers in the Law of Cosines formula to find the value of "a".

  a² = b² + c² -2bc·cos(A)

  a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862

  a ≈ √44.4862 ≈ 6.66980

Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°

The third angle is ...

  B = 180° -A -C = 180° -95° -48.31° = 36.69°

The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.

6 0
3 years ago
Frank's gas tank is 1/2 full. After he buys 7 gallons of gas, it is
Masteriza [31]
It's 28. here's proof 1/4 is 7, 1/2 is 14, 3/4 is 21, and 4/4 is 28.
5 0
3 years ago
Read 2 more answers
You watch x minutes of television on monday the same amount on Wednesday and 30 minutes on Friday
finlep [7]

Answer:

x+x+30 is the required expression.

Step-by-step explanation:

You watch x minutes of television on Monday

An since, the same amount on Wednesday that means x minutes on Wednesday

And 30 minutes on Friday

Since,  we have to tell the expression that represents the total amount in the given situation that means

x+x+30 is the required expression.

6 0
3 years ago
Read 2 more answers
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