By just adding the given areas, we conclude that the definite integral is equal to 3.026
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How to calculate the definite integral?</h3>
The integral will be equal to the sum of the four areas between points a and c.
The areas above the horizontal axis are positive areas, these are A and C.
While the areas below the horizontal axis are negative areas, these are B and D.
Then the definite integral will be:
I = A - B + C - D
Here we know that:
A = 1.311
B = 2.229
C = 5.545
D = 1.601
Replacing that, we conclude that the definite integral is
I = 1.311 - 2.229 +5.545 - 1.601 = 3.026
If you want to learn more about integrals:
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Answer:2034.7
Step-by-step explanation:
The equation is pi •r^2•h
R=6
H=18
An isosceles triangle has 2 different sides. So,
The correct answer is "A".
32.5*2= 65+ 50= 115
115+ 65 (the two base angles)= 180
All the angles of a triangle add up to 180.
Hope this helped you!
Answer:
-10x + 35 + 5x simplifies to -5x + 35.
Step-by-step explanation:
Combine Like Terms:
= −10x + 35 + 5x
= (−10x + 5x) + (35)
= −5x + 35
Hope this helps!
Answer:
Jessica spent 10 months in Spain and 8 months in Colombia.
Step-by-step explanation:
Let x be the number of months Jessica lived in Spain, then she lived 18 - x months in Colombia.
She learned an average of 160 words per month when she lived in Spain, so she learned 160x words in Spain.
She learned an average of 200 words per month when she lived in Colombia, so she learned 200(18-x) words in Colombia.
In total, she learned a total of 3,200 new words, thus
Jessica spent 10 months in Spain and 8 months in Colombia.