Answer:
$1.25
Step-by-step explanation:
Set up a proportion, use inverse operations, and solve;
cups : price
4 : 5
/4 /4
1 : 5/4
1 : 1.25
1 cup to $1.25
Answer:
141
Step-by-step explanation:
162+54-75=141
Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》

where,
=》

=》

=》

or
=》

Answer:
x={0, 2pi/3, pi, 4pi/3}
Step-by-step explanation:
First, move sin x by adding sin x to both sides. sin 2x+ sin x = 0. Next using the double angle identity, sin 2x=2(sin x)(cos x), so 2(sin x)(cos x)+sinx=0. Factoring, sin x(2cos x +1)=0. Solving, sin x=0 and 2cos x +1 = 0, or cos x = -1/2.
sin x = 0. Using the unit circle, sin x=0 when x=0 and x=pi.
cosx=-1/2. Using the unit circle, cos x= -1/2 when x=2pi/3 and x=4pi/3.
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5