Answer:
C) 3(x + 3y + 5)
D) 3x + 3(3y +5)
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer:
12 miles
Step-by-step explanation:
There are 3 hours = 180 minutes
180÷30=6
6×2=12
Hope that helps!
<h2>
Answer</h2>
The equation is y = 2x - 12
<h2>
Explanation</h2>
Equation in slope intercept form is
Where,
m = slope
b = y-intercept
Putting the value of slope in this equation:
From this we can solve the equation for b
Now, the equation of y-intercept becomes
Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
