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aniked [119]
3 years ago
13

URGENT PLEASE HELP ME

Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

110in

Step-by-step explanation:

You are given the angle and the length of one leg of the triangle. Therefore, you will want to use one of the trigonometric formulae you've learnt. The available ones are:

sin(\theta)=\frac{O}{H}\\cos(\theta)=\frac{A}{H}\\tan(\theta)=\frac{O}{A}\\

where <em>O</em> represents the leg opposite the angle, <em>A </em>represents the leg Adjacent to the angle, and <em>H</em> represents the hypotenuse. The lamppost in this problem is the leg <em>opposite the angle</em>, so you want a formula that has <em>O </em>in the equation, namely <em>sin </em>or <em>tan</em>. Because you were given the leg <em>adjacent </em>to the angle, it makes sense here to use <em>tan.</em> Set up the equation as such to solve:

tan(70)=\frac{x}{40}\\40*tan(70)=x\\x=110\\

For some reason, it wanted you to convert 70 degrees to radians, so that may have been where you could have run into issues. If you plugged in 70 as degrees, you would get 48 which isn't an option. Converting 70 to 1.22 rad gets you the answer of 110 in.

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Aliun [14]
4x + 13y = 40
4x + 3y = -40

multiply second equation by -1

4x + 13y = 40
-4x - 3y = 40

add equations together

10y = 80
y = 8

put y in either original equation

4x + 3(8) = -40
4x + 24 = -40

subtract 24 from both sides

4x = 64

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3 years ago
What number comes next in the series? 31, 1031, 402, 16, ____
spin [16.1K]

Answer:

Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.

Step-by-step explanation:

There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.

Explanation:

1st number 31 – Sum of digits is 3 + 1 = 4  

2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5

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4th number 16 – Sum of digits is 1 + 6 = 7

Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.

Read more on Brainly.in - https://brainly.in/question/3032926#readmore

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Step-by-step explanation:

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Find the least common multiple of x2 – 4x – 5 and x2 – 3x – 10.
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<u>x² - 4x - 5</u>                           <u>x² - 3x - 10</u>

(x - 5)(x + 1)                         (x - 5)(x + 2)

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Answer: (x - 5)(x + 1)(x + 2)

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3 years ago
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