Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3
Step-by-step explanation:
the circumference of a wheel is one revolution
so
formula: circumference=π*diameter
D=26cm (13*2 to find the whole length from one end to other)
so you'll do 3.14*26 equals 81.64
one revolution=81.64
30 revolutions=2,448.3 inches (times by 30 with 81.64)
The median is 79. Hope this helps!
A. $1589.01
I solved this by a simple trial and error by inputing each answer into the equation.
Answer: 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hi, to answer this question we have to solve the expression.
2(2x + 4y + x − 2y)
First we have to simplify the expression within the brackets.
2 (2x + x +4y -2y)
We have the first equivalent expression. Now to obtain the second expression we apply distributive property:
2 (3x) + 2 ( 2y)
In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).
Feel free to ask for more if it´s necessary or if you did not understand something.