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never [62]
3 years ago
12

Given right triangle GYK, what is the value of tan(G)?

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

Option D. √3

Step-by-step explanation:

In a right angle triangle tan∅ = height / Base

Height means opposite side of the angle and base is the adjacent side of the given angle.

So tan (G) = height / Base

Now we can calculate the value of tan ∅ by two ways.

1) If the sides are given.

2) By using sin/cos/tan table for the given value of the angle.

Here ∠YGK is given as 60° and we have to find the value of tan 60° then by using sin/cos/tan table we get the value

tan (G) = tan 60° = √3.

Therefore option D. is the correct answer.

Svetradugi [14.3K]3 years ago
5 0

Answer:

OPTION D (√3)

Step-by-step explanation:

By definition, the tangent of a right triangle is:

tan\alpha=opposite/adjacent

Then, you have the right triangle GYK, you can find the tan(G) as you can see below:

Find KY as following:

tan(30)=27/KY=\\KY=27/tan(30)\\KY=27\sqrt{3}

Then, you have:

tan(G)=27\sqrt{3}/27

When you simplify, you obtain:

tan(G)=\sqrt{3}

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Step-by-step explanation:

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Ralph’s average score for 5 tests was 82. on four of the tests his scores were 85, 73, 92, 66. what was the fifth test score?
SCORPION-xisa [38]

Answer:

94

Step-by-step explanation:

Let the unknown number be denoted by the variable, x. Also note that, the average can be found by adding all values together and dividing by the amount of values there are.

Set the equation:

(85 + 73 + 92 + 66 + x)/5 = 82

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Simplify first by combining like terms, and then do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions.

Combine like terms:

(85 + 73 + 92 + 66 + x)/5 = 82

(316 + x)/5 = 82

Next, isolate the x, by multiplying 5 to both sides of the equation:

(316 + x)/5 * 5 = (82) * 5

316 + x = 82 * 5

316 + x = 410

Lastly, subtract 316 from both sides of the equation:

x + 316 = 410

x + 316 (-316) = 410 (-316)

x = 410 - 316

x = 94

94 is the final test score.

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