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Grace [21]
3 years ago
5

What is the measurement of angle g?

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

The answer is 26

Step-by-step explanation:

64+ 90= 154. 180-154=26, your missing angle

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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Help plz i really dont understand how to do this
Svetlanka [38]

74 cause an absolute value of any number will always be positive.

7 0
3 years ago
Simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​
kvasek [131]

Answer:

\boxed{\sf\: B)\:3^{12}}

Step-by-step explanation:

\sf 3^2\times \:3^4\times \:3^6

<u>Apply exponent rule:</u>

\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}

  • \sf 3^2\times \:3^4\times \:3^6
  • \sf 3^{2+4+6}

Add the numbers:

  • \sf 2+4+6=12
  • \sf \:3^{12}

________________________________

7 0
2 years ago
Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record
nadezda [96]
The probability is C) 3/8.

The spinner landed on H 15 times out of (12+9+15+4) = 40 times.  This is a probability of 15/40, which simplifies to 3/8.
3 0
3 years ago
Error Analysis: Mr. Hasson is buying a new bike for the summer time. The bike originally costs $150 but he sees it's on sale for
evablogger [386]

Answer:

$45

Step-by-step explanation:

30% ÷100 =0.3. 0.3×150= 45

4 0
2 years ago
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