The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
Answer:
17i
Step-by-step explanation:
d= (under radical sign) (x2-x1)^2 + (y2-y1)^2
plug in the numbers and simplify and youll get (again under the radical sign) (-8)^2 + (-15)^2
do the math again and youll get -289 under the radical. square root of 289 is 17 and you add the i next to it because it is negative and those numbers aren't real
Well knowing that the terminal arm of the standard position angle is in quadrant 2, we can determine the reference angle, in quadrant 2, by simply taking the difference between 180 and whatever the angle is.
So ø reference = 180 - ø in standard position.
Regardless, the reference angle is in quadrant 2, we need to then label the sides of the reference triangle based on the opposite and hypotenuse.
Solve for adjacent side using Pythagoras theorem.
A^2 = C^2 - B^2
A^2 = 3^2 - 2^2
A^2 = 9 - 4
A^2 =5
A = sq root of 5.
Then write the cos ratio using the new side.
Cos ø =✔️5/3. Place a negative in front of cos ø as cos is negative in second quadrant.
It adds up to 360.
35 + 50 + 105 = 190
360 - 190 = 170
Answer: 6 months
Step-by-step explanation:
if the camera was 150 dollars, and she pay 60 upfront,
150-60=90 dollars left to be paid
she pays 15 dollars a month
90/15=6 months
