Answer:
saaad
Step-by-step explanation:
Answer: 56 degrees
Step-by-step explanation:
We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).
124 and c are supplementary angles. We can represent this in an equation to solve for c:
![124 + c = 180\\\\c = 56](https://tex.z-dn.net/?f=124%20%2B%20c%20%3D%20180%5C%5C%5C%5Cc%20%3D%2056)
Answer:
4
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
The area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have two curves:
y=x³-8x² 18x-5 and
y=x + 5
The intersection point will be:
(1, 6), (2, 7), and (5, 10)
From the graph, we can integrate to evaluate the area enclosed by the curves:
![=\rm \int\limits^2_1 {[(x^3-8x^2+18x- 5)-(x+5)]} \, dx + \int\limits^5_2 {[(x+5)-(x^3-8x^2+18x- 5)]} \, dx](https://tex.z-dn.net/?f=%3D%5Crm%20%5Cint%5Climits%5E2_1%20%7B%5B%28x%5E3-8x%5E2%2B18x-%205%29-%28x%2B5%29%5D%7D%20%5C%2C%20dx%20%2B%20%5Cint%5Climits%5E5_2%20%7B%5B%28x%2B5%29-%28x%5E3-8x%5E2%2B18x-%205%29%5D%7D%20%5C%2C%20dx)
After calculating, we get:
Area = 142/12 = 71/6 or 11.83 square units
Thus, the area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
Learn more about integration here:
brainly.com/question/18125359
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