Triangle RTS is a right triangle and QTP is also a right triangle
look for the little square in the corners of a right triangle
Answer:
Step-by-step explanation:Angle from hour hand to minute hand at 1:15
At 1:15, the hour hand has moved 75 out of 720 possible times from the top of the clock. 75 times 0.5 degrees is 37.5 degrees.
At 1:15, the minute hand has moved 15 out of 60 possible times from the top of the clock. 15 times 6 degrees is 90 degrees.
90 - 37.5 = 52.5 degrees
Angle from minute hand to hour hand at 1:15
The angle from the minute hand to the hour hand is simply 360 degrees minus the degrees from the hour hand to minute hand that we calculated above.
360 - 52.5 = 307.5 degrees.
Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a 12-hour clock at 1:15. Again, the two angles created by the hour hand and minute hand at one-fifteen are 52.5 degrees and 307.5 degrees.
Clock Angle Calculator
The angle made by the hour hand and minute hand on a clock at 1:15 is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock. Get the degrees for another time here!
Angle between hour and minute hand at 1:16
Here is the next time on our clock that we have calculated the angles for. Check it out!
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The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
- y = –x2 + 4x + 5
- y = x2 + 2x + 1
Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: brainly.com/question/16863577