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hjlf
3 years ago
8

The answer to the question “On average, how many pages are in a novel?” would be measured by which scale?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0
In the days of the typewriter, a double-spaced page with 1-inch margins would hold an average of 250 words. So you could assume that since 4 pages<span> = </span>1000<span> words</span>
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The arch beneath a bridge is​ semi-elliptical, a​ one-way roadway passes under the arch. The width of the roadway is 38 feet and
forsale [732]

Answer:

Only truck 1 can pass under the bridge.

Step-by-step explanation:

So, first of all, we must do a drawing of what the situation looks like (see attached picture).

Next, we can take the general equation of an ellipse that is centered at the origin, which is the following:

\frac{x^2}{a^2}+\frac{y^2}{b^2}

where:

a= wider side of the ellipse

b= shorter side of the ellipse

in this case:

a=\frac{38}{2}=19ft

and

b=12ft

so we can go ahead and plug this data into the ellipse formula:

\frac{x^2}{(19)^2}+\frac{y^2}{(12)^2}

and we can simplify the equation, so we get:

\frac{x^2}{361}+\frac{y^2}{144}

So, we need to know if either truk will pass under the bridge, so we will match the center of the bridge with the center of each truck and see if the height of the bridge is enough for either to pass.

in order to do this let's solve the equation for y:

\frac{y^{2}}{144}=1-\frac{x^{2}}{361}

y^{2}=144(1-\frac{x^{2}}{361})

we can add everything inside parenthesis so we get:

y^{2}=144(\frac{361-x^{2}}{361})

and take the square root on both sides, so we get:

y=\sqrt{144(\frac{361-x^{2}}{361})}

and we can simplify this so we get:

y=\frac{12}{19}\sqrt{361-x^{2}}

and now we can evaluate this equation for x=4 (half the width of the trucks) so:

y=\frac{12}{19}\sqrt{361-(8)^{2}}

y=11.73ft

this means that for the trucks to pass under the bridge they must have a maximum height of 11.73ft, therefore only truck 1 is able to pass under the bridge since truck 2 is too high.

5 0
2 years ago
Two numbers have a GCF of 6 one is 24 the other number is less than 30 what could the other number be ?
Oksana_A [137]

The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.

6 0
3 years ago
Name a value for x that will complete the inequality that is shown. Then, explain why the value makes the inequality true.
Alex17521 [72]
<h3>Answer:    0.157</h3>

========================================================

Explanation:

Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.

You should find that 9/50 = 0.18 which is the same as 0.180

So the original compound inequality is the same as saying 0.125 < x < 0.180

This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.

The number 0.157 is between 0.125 and 0.180, ie  0.125 < 0.157 < 0.180

It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.

7 0
2 years ago
Read 2 more answers
If 25% of 220 equals 5.5% of e what is w
coldgirl [10]
55=.055e
e=1,000
I’m not sure if you are looking for what e is but this is the answer for e.
3 0
3 years ago
Can somebody help me with these two pls
lana [24]

Answer:

Step-by-step explanation:

5 0
2 years ago
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