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tigry1 [53]
3 years ago
5

A bookshelf is 72 inches wide. If I plan to place books on the shelf that average ¾ inches in width, about how many books will f

it on the shelf?
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Number of books that can fit on the shelf = Width of bookshelf/ width of average book = 72 x \frac{4}{3} = 96 books

I hope this answer helps! If you have any questions, feel free to ask.

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Prove the identity.<br> tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)
Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity.  Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

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3 years ago
What is the height of the building pictured below if its shadow is 100 ft. long?
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so.. hmmm we have in the picture, an angle, and two sides,
actually, is the "adjacent" side, and the "opposite"

so.. which  of those ratios give us only
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ahhha!, is Ms tangent
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5 0
2 years ago
9. How many kilograms are in 14,500 grams?
serg [7]

Answer:

17

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The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o
andrey2020 [161]

Answer:

D. 54,900

Step-by-step explanation:

We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

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Now, we will use z-score formula to find sample score as:

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

z = Z-score,

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\mu = Mean,

\sigma = Standard deviation

1.96=\frac{x-50,000}{2,500}

1.96*2,500=\frac{x-50,000}{2,500}*2,500

4900=x-50,000

4900+50,000=x-50,000+50,000

54900=x

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0
3 years ago
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