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viktelen [127]
4 years ago
12

Len estimated the sum of 16.23, 215.7, and 110.3 by rounding each number to the nearest whole.

Mathematics
1 answer:
kozerog [31]4 years ago
6 0

Estimated sum = 342

Actual sum = 342.23

Solution:

<u>Rule to rounding decimal number to whole:</u>

If the number after the decimal point is greater than or equal to 5, then add one number to the whole number and remove the decimal terms.

If the number after the decimal point is less than 5, then remove the decimal term and the whole number is as it is the same.

Nearest whole of 16.23 = 16 (decimal is less than 5, so as it is same whole)

Nearest whole of 215.7 = 216 (decimal is greater than 5, so add 1 number)

Nearest whole of 110.3 = 110 (decimal is less than 5, so as it is same whole)

Estimated sum = 16 + 216 + 110

Estimated sum = 342

Actual sum = 16.23 + 215.7 + 110.3

Actual sum = 342.23

Hence Len's estimated sum of the numbers is 342 and the actual sum of the numbers is 342.23.

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A rectangle has a length that is 3 more than twice its width. If its area is 152ft^2, what is its perimeter
liberstina [14]

Answer:

Perimeter=54ft^2

Step-by-step explanation:

Let's start by writing what we know in mathematical terms.

A rectangle has a length that is 3 more than twice its width, means:

L-3 = 2W\\L*W = 152

Now all we have to do is solve for one of these values. I'll choose W.

Rewrite the equation:

L = 2W + 3

Input that information into our second equation and solve:

W*(2W + 3) = 152\\2W^2+3W=152\\2W^2+3W-152=0

Find the two W values by factoring the equation (note that the Width can't be negative because you can't have a negative rectangle):

2W^2+3W-152=0\\(2W+19)(W-8)=0\\\\W=-\frac{19}{2}\\W=8

We pick the positive value 8 and plug it into our original equation to find Length:

L = 2W + 3\\L=2(8)+3\\L=19

Finally, after all that, we can use the formula of a perimeter using our newly found Length and Width values (remember not to forget "ft^2" when we get our answer):

2L+2W\\2(19)+2(8)\\Perimeter=54ft^2

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3 years ago
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Step-by-step explanation:

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(5, 2) is equal to x = 5, f(x) = 2

Step 2: Substitute and Evaluate

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Step-by-step explanation:

Add up the two known angle measurements:

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Subtract this number from 180°:

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Write down your answer

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