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creativ13 [48]
2 years ago
6

Can someone help me with this

Mathematics
1 answer:
Dimas [21]2 years ago
3 0

Answer:

  596.0 ft

Step-by-step explanation:

The relationship between the two legs of a right triangle and an acute angle is ...

  Tan = Opposite/Adjacent

The height (h) of the lighthouse is the side opposite the angles of elevation. If d is the distance between A and B, we can write two tangent relations:

  tan(14°) = h/770

  tan(8°) = h/(770 +d)

Equating expressions for h gives ...

  770·tan(14°) = (770 +d)·tan(8°)

  770(tan(14°) -tan(8°)) = d·tan(8°) . . . . subtract 770·tan(8°)

  d = 770·(tan(14°)/tan(8°) -1) . . . . . divide by the coefficient of d

  d ≈ 770·(1.7740609 -1) = 596.03

The distance from point A to point B is about 596.0 feet.

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Main body:

According to question,

there are 3 bars for x and 2 bars for -x  so it shows

The equation becomes :

3x - 4 = 6-2x

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1 year ago
What is the value of a over 6 plus 3 if a=48
AlexFokin [52]
Hello there!

By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.

For the three outside the fraction,

(a / 6) + 3
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= 11

Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.
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3 years ago
The sum of three consecutive integers is 162 . What are the​ integers?
Ksivusya [100]

Answer:

53 54 55

Step-by-step explanation:

Consecutive Integers are integers that go one after the other unless explained otherwise, so 53, 54 and 55 add up to 162.

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3 years ago
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Evaluate (625/16)^1/4.Please answer correctly as soon as possible​
podryga [215]

Answer:

=  \frac{5}{2}  = 2 \frac{1}{2}

Step-by-step explanation:

( \frac{625}{16}  {)}^{ \frac{1}{4} }  \\  \sqrt[4]{ \frac{625}{16} }  =  \frac{ \sqrt[4]{625} }{ \sqrt[4]{16} }   \\  \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{16} }  =  \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{ {2}^{4} } }  =  \frac{5}{2}

\boxed{\green{=  \frac{5}{2}  = 2 \frac{1}{2}}}

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3 years ago
sadie has worked at a cell phone store for nine months. her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. which
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{5, 7, 13, 16, 21}  five-number summary represents the data set.

<h3>What do you mean by Mean?</h3>

Aside from the mode and median, the mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as the mean. It indicates a data set's values are distributed equally. The three most popular methods for determining central tendency are the mean, median, and mode. To find the mean, tally up all the values listed on a datasheet, then divide that total by the total number of values. When all the values are organised in ascending order, the median is the value that falls in the middle of the data. The number in the list that is repeated a maximum number of times is the mode, in contrast.

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