The volume of triangular prism V = A * h.
So, V = 3.5*5 = 17.5 cubic inches
<em>The vertex for f(x) = 1/2 x2 + 3x +3/2 is:</em>
<u><em>(-3,-3)</em></u>
Wow ! There's so much extra mush here that the likelihood of being
distracted and led astray is almost unavoidable.
The circle ' O ' is roughly 98.17% (π/3.2) useless to us. The only reason
we need it at all is in order to recall that the tangent to a circle is
perpendicular to the radius drawn to the tangent point. And now
we can discard Circle - ' O ' .
Just keep the point at its center, and call it point - O .
-- The segments LP, LQ, and LO, along with the radii OP and OQ, form
two right triangles, reposing romantically hypotenuse-to-hypotenuse.
The length of segment LO ... their common hypotenuse ... is the answer
to the question.
-- Angle PLQ is 60 degrees. The common hypotenuse is its bisector.
So the acute angle of each triangle at point ' L ' is 30 degrees, and the
acute angle of each triangle at point ' O ' is 60 degrees.
-- The leg of each triangle opposite the 30-degree angle is a radius
of the discarded circle, and measures 6 .
-- In every 30-60 right triangle, the length of the side opposite the hypotenuse
is one-half the length of the hypotenuse.
-- So the length of the hypotenuse (segment LO) is <em>12 </em>.
1) we have to calculate the increase of the cost of the jacket.
Increase of the cost of the jacket=new price - previous price
increase of the cost of the jacket=$87.75 - $75.00=$12.75
2)Now, we calculate the percentaje incresae of the costo of the jacket by the rule of three.
$75=100%
$75------------------100%
$12.75------------- x
x=($12.75 * 100%) / $75=17%
Answer: the percentage increase of the cost of the jacket is 17%
