Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
You need to know 20% of $5000. "Of" means "times".
$5000 x 0.20 (which is 20% written as a decimal)
=$1000 profit she wants to make
$5000 (original price) + $1000 (profit) = $6000 (sale price)
Answer:
II. Angle C cannot be a right angle.
III. Angle C could be less than 45 degrees.
Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15
so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields
thus

solve for "x"
what's "y"? well, y = 100 - x
= x·[2(x²- 4x + 4) + 3(x² + 6x + 9) - x² + 5x]
= x(2x² - 8x + 8 + 3x² + 18x + 27 - x² + 5x)
= x(4x² + 15x + 35)