Answer:
307°
Step-by-step explanation:
The sum of all the angles of a hexagon is equal to 900°.
So,
112+x+120+100+128+133 = 900
593+x = 900
x = 900-593
x = 307°
So, the value of x is equal to 307°.
Answer:
40.4
Step-by-step explanation:
We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.
∠ABC ≈ 40.4°
Answer:
6781
Step-by-step explanation:
Answer:
The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Step-by-step explanation:
The polar form of the Cartesian coordinates (x , y) is (r , Ф), where
-
- Ф =
The Cartesian coordinates is (6 , -3)
That means the point lies in the fourth quadrant because the x-coordinate is positive and the y-coordinate is negative, so Ф will be equal [2π - ] (neglect the negative sign of y-coordinate)
∵ x = 6 and y = -3
∵ r > 0
∵
- Substitute x and y in the rule of r
∴
∴
∴
∴
Now let us find Ф
∵ 0 ≤ Ф < 2π
∴ Ф = 2π -
- Neglect the negative sign of the y-coordinate
∴ Ф = 2π -
∴ Ф = 333.4° OR Ф = 5.82 radiant
∴ The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Total money in Tony's bank account is represented by the equation,
y = 23.50x + 54.60, where x is number of weeks that he has been adding money in the account
If after x weeks, his account balance is $219.10, we can find x using above relationship as:
219.10 = 23.50x + 54.60
=> 23.50x = 219.10 - 54.60
=> 23.50x = 164.50
=> x = 164.50/23.50
=> x = 7
So, after 7 weeks, Tony's account will have $219.10