First, find the value of x. Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees. Solving this equation for x, we get x = 40 degrees.
Now, 0.5x and 0.5y are vertical angles, and thus x = y. So, with x being 40 degrees, y = 40 degrees.
Answer:
Step-by-step explanation:
The first mathematician orders 1 beer, the second orders 1/2 a beer, the third orders 1/4 a beer, the fourth orders 1/8 a beer, the fifth orders 1/16 a beer. . .
- The Sequence is:
- On observation, the next term is derived through the division of the previous term by 2.
- 2 is the constant factor
- Therefore, the bartender says 'Fine, I’ll just pour you two beers.'
Therefore, if the first mathematician orders 6 beers, the second orders 2 beer, the third orders 2/3 a beer, and so on
- The sequence is
- On observation, the next term is derived through the division of the previous term by 3.
- 3 is the constant factor
- Therefore, the bartender should pour three beers.
Answer:
A
Step-by-step explanation:
Answer:
csc²(x)
Step-by-step explanation:
csc(x) = 1/sin(x)
sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =
= 1 - 2×sin²(x)
=> 2×sin²(x) = 1 - cos(2x)
sin²(x) = 1/2×(1-cos(2x))
=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)
=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =
= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)
Well, to find u, we have to remove all that is attached to it so the equation can just be u=...
To find u, you have to remove what is attached to it, and that is -12. Then you have to look at the relationship between the -12 and u. The relationship is multiplication, and the opposite of multiplication is division, so all you have to do is divide both sides by -12. So;
-12u/-12=-24/-12
The -12 cancels the -12, leaving u and the - in 12 cancels the - in 24. Leaving 24/12. And that is 2. Written as;
u=2
Hope i helped. If you have any more problems, let me know.
