Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find y
Taking y as a reference , we have:
So:
This gives
Take arccos of both sides
Answer:
Step-by-step explanation:
Second option correct
If one root of a cubic is known (and verified), then we can do a synthetic division and factor the remaining quadratic expression.
f(x)=x^3+x^2-22x-40
f(5)=125+25-22(5)-40=0 so x-5 is a factor
Now do the synthetic division
5 | +1 +1 -22 -40
--------------------
1 6 8 0
The resulting quadratic is x^2+6x+8 which can be factored into
(x+2)(x+4)
The complete factorization is therefore
f(x)=<span>x³ + x² - 22x - 40 = (x-5)(x+2)(x+4)</span>
A.) Yes, by AA criterion.
Triangle ABE have these angles:
∠ABE = 45° ; ∠EAB = 63° ; missing ∠ is 72°
Triangle MNP have these angles:
∠MNP = 72° ; ∠NMP = 63°; missing ∠ is 45°
AA criterion is "angle,angle" criterion. It means that the two triangles have at least two of their angles equal. Since a triangle have a total of 180°, when two of their angles are equal, the 3rd angle is also equal.
As you can see, both triangles have 45°, 63°, and 72° measurement of angles. Thus, they are similar.
<span>The volume of a cylinder is the area of the base (π r^2) times the height (h). So it's V = π r^2 h. HOPE I HELPED</span>
