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olganol [36]
3 years ago
6

1/2+1/4=____ and 1/12 + 1/6=___ and 1/4+1/6+1/12=_____ . explain

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
1/2+ 1/4
= 2/4+ 1/4
= 3/4

1/12+ 1/6
= 1/12+ 2/12
= 3/12
= 1/4

Therefore, 1/4+ 1/6+ 1/12
= (1/12+ 1/6)+ (1/12+ 1/6)
= 2*(1/12+ 1/6)
= 2* (1/4)
= 2/4
= 1/2

Hope this helps~


elena55 [62]3 years ago
5 0
In order to add fractions, they need common denominators
1/2 * 2 = 2/4 + 1/4 = 3/4
1/6 * 2 = 2/12 + 1/12 =3/12, divide by 3 to reduce = 1/4
1/4 * 3, 1/6 * 2 = 3/12 + 2/12 + 1/12 = 6/12, divide by 6 to reduce = 1/2
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Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

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

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
The coordinates of the midpoint of GH are M(-2, 0), and the coordinates of one endpoint are H(4,-4).
Svetlanka [38]

The coordinate of point S from the giving coordinate point is (-8,4)

<h3>Midpoint of coordinates</h3>

The formula for calculating the midpoint of coordinate point is expressed as:

M(x,y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Determine the measure of the coordinate S
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x₂ = -4-4

x₂ = -8

Similarly

0 = -4+y₂/2

0(2) = -4+y₂

y₂ = 4

Hence the coordinate of point S from the giving coordinate point is (-8,4)

Learn more on midpoint here: brainly.com/question/5566419

#SPJ1

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Answer:

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Step-by-step explanation:

Given

9 = - x + 8 ( subtract 8 from both sides )

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- 1 = x ⇒ x = - 1

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