<h3>
Answer: 9</h3>
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Work Shown:
Apply the pythagorean theorem
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225-144
b^2 = 81
b = sqrt(81)
b = 9
Answer:
41.8887 cm^2
Step-by-step explanation:
area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94
120 / 360 = 1/3
153.94 / 3 = 51.3134
now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247
subtract
51.3134 - 9.4247 = 41.8887
Answer:
The question is incomplete, so I will describe the sine regression model.
The function
y = 0.884 sin(0.245x - 1.093) + 0.400
correspond to the general equation:
y = a sin(bx - c) + d
where:
a = 0.884
b = 0.245
c = 1.093
d = 0.400
The amplitude of the function is computed as follows:
amplitude = |a| = 0.884
The period of the function is computed as follows:
period = 2π/|b| = 25.6456
The phase shift of the function is computed as follows:
phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)
The vertical shift of the function is computed as follows:
vertical shift = d = 0.400
The material costs 5.37 for 1 yard.
Multiply the cost of 1 yard by the number of yards bought:
5.37 per yard x 4.75 yards = $25.51 Total cost.
The answer would be D.
The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^
Explanation
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.
Solving The Whole Number Parts.
3 + 1 = 4
Solving The Fraction Parts.
2/4 + 2/3 = ?
Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12
6/12 + 8/12 = 14/12
Simplify the Fraction Part.
14/12 = 7/6
Simplify The Fraction Part Again.
7/6 = 1 1/6
Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6
Hope this helps ^0^! ;D
