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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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The length of a rectangle is 5 in longer than its width. if the perimeter of the rectangle is 34 in , find its area.
shtirl [24]
Area(A)= lw
perimeter(P)= 2w+2l= 34in
length(l)= w+5 
width(w)= w

1/2 P= 17= w+l
17= w+(w+5)
17= 2w+5
2w=12
w=6 in

l= w+5
l= 6+5
l=11 in


A= lw= (11)(6)= 66in²

Answer:
Area of rectangle is 66 in².
3 0
3 years ago
Please help I don’t understand it
slavikrds [6]
The constant is 3.

This is because when x=1, y=3 and when x=2, y=6 so that is a constant change over each interval as seen in the graph which is 3 :)
3 0
2 years ago
Help me please and thanks
Arturiano [62]

This is the answer its easy just simplify the inequality

3 0
3 years ago
I will give lots of points if you answer these few questions
docker41 [41]

Answer:

1. 20x+40

2. 6f+6g

3. 77-28x

Step-by-step explanation:

<u>Use distributive property for all</u>

1) 10(2x+9)-50

20x+90-50

20x+40

2) 6(f+g)

6f+6g

3) 77-28x  

4) 3.2(5w+3)

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5 0
3 years ago
Read 2 more answers
Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many differen
fomenos

Answer:

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system

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