First, write the expression.
180=(x+96)+5x
Second, add all coefficients.
180=6x+96
Subtract 96 from each side.
180-96=6x+96-96
84=6x
Divide both sides by 6.
14=x
Now that you have found the value of x, substitute x to solve the angles.
The first angle:
x+96
14+96=110 degrees
The second angle:
5*x
5*14=70 degrees
9514 1404 393
Answer:
20.6 km
Step-by-step explanation:
Using (East, North) coordinates, the hiker's position ends up being ...
22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))
We're only interested in the second coordinate of this total, which is ...
22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km
The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.
Answer:
2.7
Step-by-step explanation:
15% of 18.00 is 2.7
Answer:Mean is greater than the median and the range is 6
Step-by-step explanation: Mean is the average 5+6+7+11+11/5 = 8
Mode is the number occurring most 11
Median is the middle number 7
Range is the highest -lowest 11-5=6
Answer:
4x² + 12xy + 9y²
Step-by-step explanation:
Assuming you require the expansion
(2x + 3y)²
= (2x + 3y)(2x + 3y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 3y) + 3y(2x + 3y) ← distribute both parenthesis
= 4x² + 6xy + 6xy + 9y² ← collect like terms
= 4x² + 12xy + 9y²