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BabaBlast [244]
3 years ago
13

A city phone book has 86 pages filled with residents' names. There are a total of 15,050 names in the book. Each page has an equ

al number of names on it. How many names are on each page? ​
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

175

Step-by-step explanation:

You have to divide 15,050 by 86

Have a nice day !

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Square, Rectangle and Rhombus

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Find the number of ways to divide 10 children into playgroups so that no group has more than 7 children in it.
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3 ways

Step-by-step explanation:

7 and 3

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A speck of dust in an electron microscope is 1.2x10^2 millimeters wide. The image is 5x10^2 times larger than the actual size. H
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Let the actual size be x, then
(5 x 10^2)x = 1.2 x 10^2
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4 years ago
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Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
notsponge [240]

ANSWER

\sin( \theta)   =  -  \frac{15}{17}

\csc( \theta)   =  -  \frac{17}{15}

\cos( \theta)   =   \frac{8}{17}

\sec( \theta)   =    \frac{17}{8}

\tan( \theta)   =  -  \frac{15}{8}

\cot( \theta)   =  -  \frac{8}{15}

EXPLANATION

From the Pythagoras Theorem, the hypotenuse can be found.

{h}^{2}  = 1 {5}^{2}  +  {8}^{2}

{h}^{2}  = 289

h =  \sqrt{289}

h = 17

The sine ratio is negative in the fourth quadrant.

\sin( \theta)  = -   \frac{opposite}{hypotenuse}

\sin( \theta)   =  -  \frac{15}{17}

The cosecant ratio is the reciprocal of the sine ratio.

\csc( \theta)   =  -  \frac{17}{15}

The cosine ratio is positive in the fourth quadrant.

\cos( \theta)   =  \frac{adjacent}{hypotenuse}

\cos( \theta)   =   \frac{8}{17}

The secant ratio is the reciprocal of the cosine ratio.

\sec( \theta)   =    \frac{17}{8}

The tangent ratio is negative in the fourth quadrant.

\tan( \theta)   =  -  \frac{opposite}{adjacent}

\tan( \theta)   =  -  \frac{15}{8}

The reciprocal of the tangent ratio is the cotangent ratio

\cot( \theta)   =  -  \frac{8}{15}

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3 years ago
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What is another way to write 21.625 as a decimal
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Another way is 21.6 be
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