Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Let the people initially on the train be 'x'.
19 people got off the train --> x - 19
17 people got on the train --> x - 19 + 17
Remaining people on the train = 63
Therefore, x - 19 + 17 = 63
x - 2 = 63
x = 63 + 2
x = 65
Verification:
65 - 19 + 17 = 63
65 - 2 = 63
63 = 63
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Hope I helped!
Answer:
3.5 un
Step-by-step explanation:
to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7
this is basically dividing 24.5 by 7
24.5 / 7 = 3.5
that is your answer
Answer:
x = 6 7/9
Step-by-step explanation:
Any triangle inscribed in a circle with one side being a diameter is a right triangle.
9x - 14 = 180 - 90 - 43
9x - 14° = 47°
9x = 61°
x = 6 7/9
B. 24x+27. You multiply everything out and add the x's
