Answer:
<em>290.5 square miles</em>
Step-by-step explanation:
Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

<em>Solution; 290.5 square miles</em>
Answer:
(a) Approximate the percent error in computing the area of the circle: 4.5%
(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm
Step-by-step explanation:
(a)
First we need to calculate the radius from the circumference:

I leave only one decimal as we need to keep significative figures
Now we proceed to calculate the error for the radius:


Again only one decimal because the significative figures
Now that we have the radius, we can calculate the area and the error:

Then we calculate the error:


Now we proceed to calculate the percent error:

(b)
With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

Now we calculate the error for the radius:

Now we proceed with the error for the circumference:

✿————✦————✿————✦————✿
The answer is: <u>2(k2−4k)(2c+5)</u>
✿————✦————✿————✦————✿
Step:
* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.
* Factor out the common term 2c+5 by using the distributive property.
* Rewrite the complete factored expression.
✿————✦————✿————✦————✿
9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
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<em>Additional comment</em>
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.