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scZoUnD [109]
3 years ago
6

A box in a college bookstore contains books, and each book in the box is a history book, an english book or a science book. if o

ne-third of these books are history books and one-sixth are english books, what fraction of the books are science books? show work
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

\frac{1}{3}  +  \frac{1}{6}  = \\  \frac{2}{6}  +  \frac{1}{6}  =  \frac{3}{6}  \\  \frac{6}{6}  -  \frac{3}{6}  =  \frac{3}{6} or \:  \frac{1}{2}
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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr
drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

8 0
3 years ago
What is y + 20 < 180? please help me
taurus [48]

Answer:

y < 160

Step-by-step explanation:

y + 20 < 180

    -20 < -20

y < 160

y is less than 160

5 0
3 years ago
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Simplifying 23-13 <br>2 ​
strojnjashka [21]

Use photo math, it will help you with your answer a lot more.

7 0
3 years ago
Taylor writes an expression with 5 terms. All 5 terms are like terms. How many terms are in the equivalent expression with the l
Volgvan
I have no clue I’m dum
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Whats the height of the prism
zheka24 [161]

Answer:

oh, you may have forgotten to add the file, you can edit and add it, which i will edit my response and respond.

Step-by-step explanation:

8 0
3 years ago
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