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.
Answer:
0.01 is alpha level
Step-by-step explanation:
Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.
i.e. p = proportion of people who like chocolate pie = 0.12
Margin of error = ±0.03
The value of q =1-\hat p , =1-0.12 = 0.88
The sample size n is given as 1500. Therefore, n=1500
The confidence level is given as 99%
Hence alpha = 1- confidence level
=1-0.99=0.01
Hence answer is 0.01
Normally when there is similar terms and when you have to figure out if it is factorable or prime you must first begin factoring it and if it does not work it is prime.
Hope this helps, ask me if you have any questions.
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
The answer is D. 63. You have to set up a proportion as shwon in the image.
