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Assoli18 [71]
3 years ago
13

Professor Burns attended a computer seminar at IBM. The college reimburses Professor Burns at $. 41 per mile. Professor Burns tr

aveled 520,4 miles . What will the college pay Professor Burns? Round to the nearest cent .
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

213.36

Step-by-step explanation:

520.4 x 0.41 = 213.36

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4 years ago
What number fills in the blank to complete the factorization of 3x + 24?<br><br> (x + 8)
Crank

we have

3x+24

<u>Find the greatest common factor GCF</u>

we know that

3\\ Factors=1,3\\ \\ 24=2^{3}*3\\  Factors=1,2,3,4,6,8,12,24

so

The GCF is equal to 3

therefore

3x+24=3*(x+8)

<u>the answer is</u>

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4 years ago
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Do Now. Darren is standing on the top floor of a hotel which is 300 ft tall. He thought it would be fun to
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Since he is so high up the ball would take longer to hit the ground because of how far down it has to go.

Step-by-step explanation:

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3 years ago
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Find side lengths C and H
Nuetrik [128]

Answer:

\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left.  We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

\displaystyle tan60^o=\frac{2}{c}

Solving for c

\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}

Rationalizing

\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

\displaystyle sin45^o=\frac{7}{h}

Solving for h

\displaystyle h=\frac{7}{sin45^o}=\frac{7}{\frac{\sqrt{2}}{2}}=\frac{14}{\sqrt{2}}

Rationalizing

\displaystyle h=\frac{14}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{14\sqrt{2}}{2}=7\sqrt{2}

3 0
4 years ago
Figure ABCD is a parallelogram.
Alenkasestr [34]

Answer:

AB=10 BC=16

Step-by-step explanation:

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