128 is the answer.
Explanation: If only 2 sprouted out of 10, that would mean only 20% sprouts on average, so you just divide 640 by 20%, otherwise expressed as 640/20%. The quotient is 128, which is therefore the answer.
Please mark me as brainiest. Wasn't very hard but I would appreciate it!
The solution of the function
is - cos t - ¹/₄cos 2t + c.
<h3>What is the indefinite integral?</h3>
An indefinite integral is a function that practices the antiderivative of another function.
It can be visually represented as an integral symbol, a function, and then a dx at the end.
The given function is;
![\rm \int{sin(t) (1 + cos(t) )} \, dt](https://tex.z-dn.net/?f=%5Crm%20%5Cint%7Bsin%28t%29%20%281%20%2B%20cos%28t%29%20%29%7D%20%5C%2C%20dt)
Multiply by sint in the function and simplify;
![\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt](https://tex.z-dn.net/?f=%5Crm%20%5Cint%7Bsin%28t%29%20%281%20%2B%20cos%28t%29%20%29%7D%20%5C%2C%20dt%5C%5C%5C%5C%5Crm%20%5Cint%7Bsin%28t%29%20%20%2B%20sin%28t%29cos%28t%29%20%20%5C%2C%20dt)
Use trigonometric formulas for double angles:
![\rm 2sintcost =sin2t\\\\sin t cost =\dfrac{1}{2} sin2t](https://tex.z-dn.net/?f=%5Crm%202sintcost%20%3Dsin2t%5C%5C%5C%5Csin%20t%20cost%20%3D%5Cdfrac%7B1%7D%7B2%7D%20sin2t)
Substitute the values in the function
![\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt}\\\\ \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\](https://tex.z-dn.net/?f=%5Crm%20%5Cint%7Bsin%28t%29%20%281%20%2B%20cos%28t%29%20%29%7D%20%5C%2C%20dt%5C%5C%5C%5C%5Crm%20%5Cint%7Bsin%28t%29%20%20%2B%20sin%28t%29cos%28t%29%20%20%5C%2C%20dt%7D%5C%5C%5C%5C%20%5Cint%7Bsin%28t%29%20%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%20sin2t%20%20%5C%2C%20dt%7D%5C%5C%5C%5C)
And now we integrate this trigonometric form.
![\rm \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\ \int{sin(t) dt } +\dfrac{1}{2}\int{sin(2t)\, dt}\\\\-cost -\dfrac{1}{2} \times \dfrac{1 \times -cos2t}{2}\\\\-cost -\dfrac{{1 \times -cos2t}}{4}+c](https://tex.z-dn.net/?f=%5Crm%20%5Cint%7Bsin%28t%29%20%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%20sin2t%20%20%5C%2C%20dt%7D%5C%5C%5C%5C%20%5Cint%7Bsin%28t%29%20dt%20%7D%20%20%2B%5Cdfrac%7B1%7D%7B2%7D%5Cint%7Bsin%282t%29%5C%2C%20dt%7D%5C%5C%5C%5C-cost%20-%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cdfrac%7B1%20%5Ctimes%20-cos2t%7D%7B2%7D%5C%5C%5C%5C-cost%20-%5Cdfrac%7B%7B1%20%5Ctimes%20-cos2t%7D%7D%7B4%7D%2Bc)
Hence, the solution of the given function is - cos t - ¹/₄cos 2t + c.
Learn more about indefinite integral here;
brainly.com/question/9829575
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A line is a one dimensional object of infinite length.
Answer:
its
multiplication
division
subtraction
addition
Step-by-step explanation:
give me brainlist plz
Answer:
27.7 cm
Step-by-step explanation:
(12,45cm + 2.8cm)=(belinda's shoe+felix added cm)= felix's shoe
12,45cm= belinda shoe
combined lenght = 12,45+ 15,25=27.7 cm