F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
Circumcenter Incenter Centroid
Formed by intersection of Perp. Bisectors Angle bisectors Medians
Type of circle Circumscribed Inscribed No circle
Special property Equidistant from Equidistant from Center of mass
vertices Sides
A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.
All we have to do here is divide $13.50 by $0.90 to figure out how many guppies she can buy
$13.50 ÷ $0.90 = 15
Therefore, Karla can buy <u>15 guppies</u> with $13.50
Hope this helps you
Brainliest would be appreciated
- AaronWiseIsBae
Answer:
180
Step-by-step explanation:
<em>Here,</em>
<em>b=15</em>
<em>c=9</em>
<em>Now,</em>
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