<span>the change in the amount of water in the pitcher is</span>5/8 cup
I couldn’t figure out d answer to This hope this helped
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
Answer:
2000 bars, or $1200
Explanation:
Let x represent the number of candy bars that are sold. Since they are sold for $0.60 each, this gives us the expression
0.60x
to represent the profit.
The factor has $0.10 per candy bar additional expense; this gives us the expression
0.10x.
However the factory also has $1000 fixed costs; this gives us
0.10x + 1000
to represent the costs.
The break-even point is the point where these two expressions are equal; this gives us the equation
0.60x = 0.10x + 1000
Subtract 0.10x from each side:
0.60x - 0.10x = 0.10x + 1000 - 0.10x
0.50x = 1000
Divide both sides by 0.50:
0.50x/0.50 = 1000/0.50
x = 2000
The break-even point is 2000 candy bars, which would sell for
0.60(2000) = $1200
