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SCORPION-xisa [38]
3 years ago
9

A shelf in a bookcase is 16 inches tall the front cover of a square book has an area of 234 in.² approximately how tall is the b

ook will it fit on the shelf
Mathematics
1 answer:
ozzi3 years ago
5 0

The answer is the book is approximately 15.3 inches tall, and it will fit on the shelf, since 16 inches is greater than 15.3 inches.

Here's an explanation:

The problem has already said that the book shelf is 16 inches tall. It's given that the area of the front cover of a square book is 234 square inches. Since the book is square, the length of the book will be equal to the width of the book. So, the find the length of the book, you would find the square root of 234, since both sides would be the same, and you'd get an answer of approximately 15.3 inches. If the length of the book is 15.3 inches, then it would fit on the book shelf, since 15.3 inches is less than 16 inches.

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There are 24 students in a science class.Mr.Sato will give each pair of students 3 Magnets.So far,Mr.Sato has given 9 pairs of s
Flauer [41]

Answer:

Mr. Sato needs 9 more magnets.

Step-by-step explanation:

The 24 students will form 12 pairs. The total number of magnets needed is 12*3 = 36. Mr. Sato  gave out 9*3=27 magnets already and so he will need 36 - 27 = 9 more magnets.

8 0
4 years ago
Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi
notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{68-74}{6}

z=\frac{-6}{6}=-1

Now let us find z-score for 86.

z=\frac{86-74}{6}    

z=\frac{12}{6}=2        

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,    

P(-1

P(2>Z)=.97725  

We will use formula P(a to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

P(-1

P(-1

Upon converting 0.81859 to percentage we will get

0.81859*100=81.859\approx 81.86

Therefore, 81.86% of final exam score will be between 68 and 86.  


3 0
3 years ago
From the figure and statement provided, select the proper TO PROVE statement.
ratelena [41]

Answer

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6 0
4 years ago
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RSB [31]

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Step-by-step explanation:

3 0
4 years ago
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How does labeling the diagram help us show that we can use right triangle congruency (SAS in this case)?
dem82 [27]

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent

4 0
3 years ago
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