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Leno4ka [110]
3 years ago
6

The ratio of ebooks to novels is 4:5. if there are 32 ebooks how many novels are there?

Mathematics
1 answer:
12345 [234]3 years ago
4 0
<h3>Answer:  40 novels</h3>

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

Work Shown:

n = number of novels

(32 ebooks)/(n novels) = 4/5

32/n = 4/5

32*5 = n*4 ............ cross multiply

160 = 4n

4n = 160

n = 160/4 .............. dividing both sides by 4

n = 40

There are 40 novels.

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Lubov Fominskaja [6]

Answer:  x = 9.6

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

Explanation:

We have two smaller right triangles that are glued together so to speak.

The base of the smaller triangle on the left is 5 while the height is h.

Let's use the tangent rule to find the value of h

tan(angle) = opposite/adjacent

tan(55) = h/5

5*tan(55) = h

h = 5*tan(55)

h = 7.14074003371058

Make sure your calculator is in degree mode. That value of h above is approximate.

--------------------------

Now focus on the smaller triangle on the right

It has the same height value h. This side is the adjacent side while x is the hypotenuse.

We'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(42) = h/x

cos(42) = 7.14074003371058/x

x*cos(42) = 7.14074003371058

x = 7.14074003371058/cos(42)

x = 9.6088135029715

x = 9.6

4 0
3 years ago
Simplify by dividing -5/8 divided by -3/4
aleksandr82 [10.1K]

Answer:

-5/6

Step-by-step explanation:

7 0
3 years ago
I don't know how to do this problem
Colt1911 [192]
A. 180
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3 years ago
Point A is on a number line halfway between -17 and 5. Point B is halfway between point A and 0. What integer does point B reprs
Korolek [52]

Answer:

-3

Step-by-step explanation:

Point A is half way between -17 and 5. This is span has a total distance of 17 + 5 = 22. Half way is 11 units from -17 or 5. So -17 + 11 = -6.

Point B is halfway between A at -6 and 0. This is a distance of 6. So halfway is 3 units away at -3.

7 0
3 years ago
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The answer is 602.88cm₃
6 0
2 years ago
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