Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Quoteint of powers
(x^m)/(x^n)=x^(m-n)
we know that 8=x^3
so
(2^5)/8=2^2 can be rewritten as
(2^5)/(2^3)=2^2
and 5-3=2 so it's true
answer is
third one
by simplifieng 8 to 2^3 to make both powers base two, and subtraction the exponents
Answer: -3 2/3x - 1
Step-by-step explanation:
-2/3x + 5(3/5 - 3/5x) - 12 / 6 * 2
First distribute
-2/3x + 3 - 3x - 12 / 6 * 2
Now divide 12 by 6
-2/3x + 3 - 3x -2 * 2
Now multiply -2 by 2
-2/3x + 3 - 3x - 4
Now subtract 3x from -2/3x
-3 2/3x + 3 - 4
Now subtract 4 from 3
-3 2/3x - 1
A. The cost per 20 boards is 3800. so each board costs 3800/20 or $190. So the cost equation is C(x) = 200 + 190x
B. Divide the cost function by x. C(x)/x = 200/x + 190
C. The graph will be a curve that starts at (1,390) and curves down and to the right. Your last point will be at (30, 200/30+190) Your asymptote will be the horizontal line at 190 because as x tends to infinity, the term 200/x goes to zero. (There is also a vertical asymptote at x = 0 because you can't divide by zero, but your graph won't include x=0)
D. The average cost tends to 190 which was your horizontal asymptote.
55 is 55% of 100.
percents are based of of 100, so 55 would be 55/100 or 55%.
