Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
Answer:
90 and 30 liters
Step-by-step explanation:
1) if solution of 20% is 'x' and of 60% is 'y' liters, then
2) the pure chlorine is: for solution of 20% - 0.2x, for solution of 60% - 0.6y and
3) the mix of the two solutions is 120=x+y.
4) using these items it is possible to make up the system of two equations:
5) finally, x=90 liters of 20%; y=30 liters of 60% solution.
Answer:
x = 4
Step-by-step explanation:
2 + 3(3x - 6) = 5(x - 3) + 15
Expand the parenthesis:
2 + 9x - 18 = 5x - 15 + 15
Simplify:
9x - 16 = 5x
Subtract 5x from both sides:
4x - 16 = 0
Add 16 to both sides:
4x = 16
Divide both sides by 4:
x = 4
<h3>
Answer: A) z = 12</h3>
==========================================
Work Shown:
RS = RT
2z-15 = 9
2z = 9+15
2z = 24
z = 24/2
z = 12
The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.
In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.
He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160
