The area:
Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)
=
π / 3
Angles of Elevation and Depression. The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).
Answer:
a = 12
x = 5.714
Step-by-step explanation:
sf = 15 / 9
20 / (15 / 9) = 12
a = 12
sf = 21 / 6
20 / (21 / 6)
x = 5.714
the product in mixed form is:
(1 + 1/6)*(3 + 4/5) = 5 + 13/15
<h3>How to get the product between the two mixed numbers?</h3>
Here we want to solve the product:
(1 + 1/6)*(3 + 4/5)
If we distribute that product we get:
1*3 + 1*(4/5) + (1/6)*3 + (1/6)*(4/5)
Now we can solve these, we will get:
1*3 + 1*(4/5) + (1/6)*3 + (1/6)*(4/5)
3 + 4/5 + 3/6 + 4/30
3 + 4/5 + 1/2 + 2/15
3 + 1/2 + (4/5 + 2/15) = 3 + 1/2 + (12/15 + 2/15) = 3 + 1/2 + 14/15
3 + 1/2 + 14/15 = 3 + 15/30 + 28/30 = 3 + 43/15
3 + 43/15 = 3 + 30/15 + 13/15 = 3 + 2 + 13/15 = 5 + 13/15
Finally, we can see that the product in mixed form is:
(1 + 1/6)*(3 + 4/5) = 5 + 13/15
If you want to learn more about mixed numbers:
brainly.com/question/21610929
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