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Troyanec [42]
3 years ago
7

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in. To the nearest tenth of a percent, wha

t is the percent error in Annie's estimate? Enter your answer in the box.
Mathematics
2 answers:
Vinil7 [7]3 years ago
6 0

Answer  

Find out the  percent error in Annie's estimate .

To prove

Formula

Percentage\ error = \frac{error\times 100}{exact\ value}

As  error = approx value -  exact value

As given

Annie estimates that the height of a bookcase is 78.25 in.

The actual height is 75.50 in.

approx value = 78.25 in.

actual value = 75.50 in.

error = 78 .25 - 75 .50

        = 2.75

put in the formula

Percentage\ error = \frac{2.75\times 100}{75.50}

Percentage\ error = \frac{27500}{7550}

Percentage error = 3.64 % (approx)

Therefore the Percentage error be 3.64 % (approx).

Colt1911 [192]3 years ago
3 0
3.6 is my answer.....

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expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

\frac{PQ}{AB} = \frac{QR}{BC}

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\frac{PQ}{12}=\frac{34.5}{11.5} or

PQ = \frac{34.5 \times 12}{11.5}

On simplify:

PQ = 3 \times 12 = 36

Therefore, the length of side PQ is 36 units.





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