Answer:
171.06 cm²
Step-by-step explanation:
<u>First let us find the area of the circle</u>
Area = π r²
= π × 8 × 8
= π × 64
= 201.06 cm²
<u>Now let us find the area of parallelogram</u>
Area = Base × Height
= 6 cm × 5 cm
= 30 cm²
<u>And now we have to find the area of the shape when the parallelogram is cut from it</u>
<em>For that, you have to subtract the area of the parallelogram from the area of the circle.</em>
Let us solve now.
Area of the shape = Area of the circle - Area of the parallelogram
= 201.06 cm² - 30 cm²
= 171.06 cm²
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Hope this helps you :-)
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Have a nice day !!
Answer:
-0.000002
Step-by-step explanation:
Answer:
A=1/2bh
Step-by-step explanation:
The area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.
So for example if you got that the base of the triangle is 12 and the height is 14 you would plug it in like this:
A=1/2(12)(14)
A=6(14)
A=84
Let h represent the height of the triangle.
... b = 10 + 3h . . . . . . the base is 10 inches more than 3 times the height
... A = (1/2)bh . . . . . . formula for the area of a triangle in terms of base and height
... 16 = (1/2)(10 +3h)h . . . . substitute the known values
... 3h² + 10h - 32 = 0 . . . . rearrange to standard form
... (h -2)(3h +16) = 0
... h = 2 or -16/3 . . . . . . . . the negative solution is extraneous
... b = 10 + 3·2 = 16 . . . . . use the relation between b and h
The base and height of the triangle are 2 inches and 16 inches, respectively.
Answer:
Margin of error will decrease
Step-by-step explanation:
Given that you want to conduct a survey to determine the proportion of people who favor a proposed tax policy.
Margin of error is the quantity allowed for the mean to deviate on either side
Margin of error is calculated as
Critical value for the required confidence level * std deviation of sample/population/square root of sample size
Here for 95% for eg z critical value is 1.96
We find that margin of error is inversely proportional to square root of sample size n.
So when n increases margin of error decreases proportional to square root of sample size
If margin of error is 2% say and if sample size is made 4 times then margin of error reduced to half of original i.e. 1%
