Answer:
0.0069
Step-by-step explanation:
This is a power series problem.
The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......
Our question says we should use the first 5 terms to find the value of sin(π). Thus;
sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!
This gives;
π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069
Answer:
x = 6
Step-by-step explanation:
We can see that the the 32 degree angle plus the equation (9x + 4) is equal to 90 degrees.
We know this because the bottom line is a 180 degree angle, and we can see on the other side that it is a right angle.
If we were to turn that into an equation it would like like this:
(9x + 4) + 32 = 90
Now you just have to solve for x.
9x + 4 + 32 = 90
Combine like terms:
9x + 36 = 90
Subtract 36 from both sides
9x = 54
divide both sides by 9
x = 6
and you are left with the answer.
X=700R+85Y
R= Number of Refrigerators
Y= Number of Years
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
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The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
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This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
$48.32* (15/100)
= $7.25.
The final answer is $7.25~
