<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle
in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)
-> your x coordinate is the adjacent side, and y the opposite
</span>
<span>tan θ=opposite/adjacent=y/x=15/5=3</span>
Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
This number is rational
Second:
This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
This number is rational
Fourth:
This is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
Irrational. The square root of a non-perfect square is irrational.
<h3 />
-Chetan K
Answer:
45 is the answer
Step-by-step explanation:
first you have to know the sum of interior angle of that pentagon (540)
then add the all angle.
148 + x + 112 + 90 + 3x + 10 = 540.
or, 360 + 4x = 540
or, 4x = 540 - 360
or, 4x = 180
or, x = 180/4
or, x = 45
hope it will help you☺✌
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 =
, and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
1:3 = 16/48 and 1/3.
Have a nice day! :D