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Andrei [34K]
2 years ago
8

If there are 42 boys and 54 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Mathematics
1 answer:
Tju [1.3M]2 years ago
3 0

Answer:

42:54,54:42

Step-by-step explanation:

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Just add the angles up.
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1 year ago
Vondra wants to buy a charm bracelet. Oak Grove Fine Jewelry charges $16 per charm, plus $53 for the bracelet. Sandoval Jewelers
AveGali [126]

Answer:

The bracelet will cost 85$ and it'll have 2 charms.

Step-by-step explanation:

In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:

Oak Grove:

total cost = 16*charm + 53

Sandoval:

total cost = 27*charm + 31

We then find the number of charm that'll make them equal, since the price has to be the same on both shops:

16*charm + 53 = 27*charm + 31

27*charm - 16*charm = 53 - 31

11*charm = 22

charm = 2

The cost of the bracellet is:

total cost = 27*2 + 31 = 85 $

3 0
3 years ago
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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

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In the right triangle B', point (5, 0) and B:

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so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

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3 years ago
Segment BD is an altitude of triangle ABC. Find the area of the triangle. Triangle ABC with altitude BD is shown. Point A is at
pogonyaev
Where's the "triangle with alt. BD?"  This problem can be solved without the diagram, but the solution would be easier with it.

BD is the altitude.  Find the length of BD by finding the dist. between (-1,4) and (2,4); it is 2-(-1), or 3.  |BD| = 3.

I've graphed the triangle myself and have found that the "base" of the triangle is the vertical line thru (2,1) and (2,6); its length is 6-1, or 5.

Thus, the area of this triangle is  A = (b)(h) / 2, or  A = (5)(3) / 2 = 10/3 square inches.
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3 years ago
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What is the constant proportionality for y=2/3x
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The constant proportionality is 2/3 because it will still be going on
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The number 2/3 goes 
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