The drop down answers are
csc= 1.604
cot= .268
Answer:
Step-by-step explanation:
Area of circle = 56 cm²
πr² = 56
3.14r² = 56
r²=56/3.14
r²= 17.83
r = √17.83
r = 4.22 cm
The diameter of the circle = diagonal of the square
Diagonal of the square = 2 * 4.22 = 8.44 cm
x² + x² = 8.44²
2x² = 71.2336
x² = 71.2336/2
x² = 35.6168
x = 5.967 cm
Answer:
Area of sector = 102.6 feet squared
Step-by-step explanation:
Given:
Radius of circle = 14 ft
Angle θ = 60°
Find:
Area of sector
Computation:
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
b is correct! good job :)