<span>First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)
=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2]
We will ignore the negative sign
I hope it helped.</span>
-4/7 (decimal form (.571))
Let's solve your system by substitution.
y=2x+1;y=4x−1
Step: Solve y=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=4x−1:
y=4x−1
2x+1=4x−1
2x+1+−4x=4x−1+−4x(Add -4x to both sides)
−2x+1=−1
−2x+1+−1=−1+−1(Add -1 to both sides)
−2x=−2
−2x
−2
=
−2
−2
(Divide both sides by -2)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
Answer:
Quarters = 20
Dimes = 14
Step-by-step explanation:
Dime = x = 10 cent = $0.1
Quarter = y = 25 cent = $0.25
x + y = 34 - - - (1)
0.1x + 0.25y = 6.40 - - - - (2)
From (1)
x = 34 - y
0.1(34 - y) + 0.25y = 6.40
3.4 - 0.1y + 0.25y = 6.40
3.4 + 0.15y = 6.40
0.15y = 6.40 - 3.40
0.15y = 3
y = 3 / 0.15
y = 20
x = 34 - y
x = 34 - 20
x = 14
Quarters = 20
Dimes = 14
Answer:
Step-by-step explanation:
let y represent number of years...
9 ft tall = (12 * 9) = 108 inches
10 ft tall = (12 * 10) = 120 inches
Type A : 9 ft (or 108 inches) and grows 6 inches per year..
108 + 6y
Type B : 10 ft (or 120 inches) and grows 3 inches per yr
120 + 3y
how many years will it take them to be the same height...so when will they be equal....so set them equal and solve for y
108 + 6y = 120 + 3y
6y - 3y = 120 - 108
3y = 112
y = 112/3
y = 37 1/3 years....or 37 years and 4 months <====
check...
108 + 6(37 1/3) = 120 + 3(37 1/3)
108 + 6(112/3) = 120 + 3(112/3)
108 + 672/3 = 120 + 336/3
672/3 - 336/3 = 120 - 108
336/3 = 112
112 = 112 (correct)
