Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
the triangles are all similar, because they have proportional sides and equal angles.
if you assume the smallest, equal part of side to be x
the biggest triangle has "5 parts" so BC=5x and BK has 3 parts so BK=3x .
since they're similar, ratio of their corresponding sides is constant or equal.
BK/BC=3/5
and AC=40
so JK = 40*3/5=24
Answer:
a)
b)
Step-by-step explanation:
Polar coordinates are represented as: , where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:
to covert the polar to cartesian:
we can plug in our values:
the Cartesian coordinates are:
(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'
the angle can be found by:
to convert radians to degrees:
writing in polar coordinates:
Answer:
Step-by-step explanation:
1. Sinking Fund: Expenses like these are predictable. You know exactly when they’re going to come due, and you know at least approximately how much they’re going to cost"
So we have: down payment for a car, saving to start a business, saving for a college education
2. Rainy-Day Fund: unexpected expense you have to pay,
So we have: plumbing expenses, paying to fix a broken air conditioner, unexpected travel expense, plumbing expenses
