Answer:
AC = 30 units
Step-by-step explanation:
if AB = BC, then this is an isosceles triangle.
further BX intersects the base (AC) of the isosceles triangle at a right angle.
This means that the line of symmetry BX divides triangle ABC into two congruent triangles where AX = CX.
hence AC is
AX + CX
= CX + CX
= 15 + 15
= 30 units
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
let g = number of guests. if each guest is to have 3 cups we represent this as
3g
for the additional 20 cups, we add 20
3g + 20
I think the correct answer would be D. The two parallelograms are congruent because a rotation does not change size and shape.
Answer:
43% (or 0.43)
Step-by-step explanation:
The probability or proportion of participants preferring Ad B = number of participants preferring Ad B/ total number of participants
= 86 / (54 + 86 + 60)
= 0.43
= 43%
