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: just simplify condense it then your answer will be log(16)
Answer:
Both Lindsay and Sharon are wrong.
Step-by-step explanation:
When Lindsay was doing her problem, she put 100 on the bottom and 45 on the top, when it should have been the other way around.
Sharon would have been correct if she had used the right measuring unit. 2/5 of a milliliter should have been 2/5 of a liter.
Take the GCF (-8t) of the given expression.
You'll get -8t(2t-5).
Now, set each equal to zero and solve for x.
-8t = 0 2t-5=0
t=0 t = 5/2 (Or 2.5 seconds)
Answer:
The first choice is correct
Step-by-step explanation:
$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer