Find the exact value of tan 30 degrees w/o calculator

Answers

Answer 1
Answer: Here is a mantra that I learned in Geometry class in high school.  We were
all very excited, as angles had been invented only a few years earlier:

In a 30-60 right triangle ...
the side opposite the 30 is half the hypotenuse
the side opposite the 60 is half the hypotenuse times the square root of three.

So the tangent of the 30 would be (opposite) / (adjacent) = (1/2h) / (1/2h√3) .

That's (1)/(√3) or (√3)/(3) .
Answer 2
Answer: Look\ at\ the\ picture.\n\ntan30^o=((a)/(2))/((a\sqrt3)/(2))=(a)/(2):(a\sqrt3)/(2)=(a)/(2)\cdot(2)/(a\sqrt3)=(1)/(\sqrt3)\cdot(\sqrt3)/(\sqrt3)=(\sqrt3)/(3)

Related Questions

Solve for c.|c- 2| >3 Write a compound inequality like 1 3. Use in tegers, proper fractions, or improper fractions in simplest form.
What is the difference 4y/xy - 2x/xy^3
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)40774,0969,317
Round each number to the nearest tenth. What is the best estimate for the answer to 47.82 74.31?
What is the perimeter of a tennis court 78ft long and 27ft wide?

Jimmy and 4 of his friends went out to eat. They decided to split the bill evenly. Each person paid $13. What was the bills total?

Answers

Answer:

$65

Step-by-step explanation:

5x13= 65

5x + 3 = x + 11
Please help fast thankyou

Answers

Answer:

x = 2

Step-by-step explanation:

5x + 3= x + 11

5x - x = 11 - 3

4x = 8

x = 2

What is 5(x+8)=7x+38
Simplify your answer as much as possible

Answers

Answer:

5*(x+8)-(7*x+38)=0

5 • (x + 8) -  (7x + 38)  = 0

  2 - 2x  =   -2 • (x - 1)

 -2 • (x - 1)  = 0

  -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

x-1 = 0

 x = 1

Which equation can be simplified to find the inverse of y = 5x2+10?A. x = 5y2 + 10
B. 1/y=5x^2+10
C. –y = 5x2 + 10
D. y= 1/5x^2+1/10

Answers

To find the inverse of a function, simply switch y with x:

So, y = 5x2 + 10 will become x = 5y2 + 10.

The correct option will therefore be A.

Answer:

I agree, it's also A.

B2+10b+25/b29-9 . B+3/B+5

Answers

b4 + b3 - 45b2 - 27b + 25—————————————————————————b2
the answer is (b+5)(b+5)/b(29-5)

What is (2x^2+6x-3) added to (2x^3-3x+2)?

Answers

2x^3 + 2x^2 + 3x - 1   would be result 


2x² + 6x - 3 + 2x³ - 3x + 2

Combine like terms

2x³ + 2x² + 6x - 3x - 3 + 2

Final answer:
2x³ + 2x² + 3x - 1