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satela [25.4K]
3 years ago
14

Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent er

ror?
Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

<h3>The answer is 10.42 %</h3>

Step-by-step explanation:

The percentage error of a certain measurement can be found by using the formula

P(\%) =  \frac{error}{actual \:  \: number}  \times 100\% \\

From the question

actual mass = 240 g

error = 265 - 240 = 25

So we have

p(\%) =  \frac{25}{240}  \times 100  \\  = 10.41666666...

We have the final answer as

<h3>10.42 %</h3>

Hope this helps you

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<h3>Look at the picture.</h3>

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Please help asap 100 points
vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2:  Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it.  Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder.  However, before doing that we need to determine the radius of the circle from the diameter that was given.

<u>Divide the diameter by two to get the radius</u>

  • Radius = \frac{Diameter}{2}
  • Radius = \frac{5.2\ yd}{2}
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<u>Plug in the values</u>

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<u>Simplify the exponent</u>

  • V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd
  • V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd

<u>Simplify the expression</u>

  • V_{cylinder} = (21.237\ yd^2)*7.8\ yd
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Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question.  In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of.  We need to use the Secant-Secant Power Theorem to help determine our solution.

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The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

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After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

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