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UNO [17]
3 years ago
15

How can complex fractions be used to solve problems involving ratios

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.

Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}

\frac{2*9}{5*9}=\frac{x}{45}

\frac{18}{45}=\frac{x}{45}
18=x

In case of more complex fractions it may come in handy.
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Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimet
IgorC [24]
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?

To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
3 0
3 years ago
Omar’s classroom has 2 closets. Each closet has 3 shelves. There are 5 backpacks on each shelf. How many backs are there in all
almond37 [142]

I believe there are 35 backpacks in all. 2 closets have 6 shelves all together. Then 6*5=35.

5 0
3 years ago
This is a parallelogram. Using it's properties, what is the measure of:<br> x = <br><br> y =
Serggg [28]

Answer:

x = 10

y = 13

Step-by-step explanation:

7 0
3 years ago
Assume that we are interested in the average length of 1015 fishes in Square Lake, WI. Also assume that all information for all
zimovet [89]

Answer is given below

Step-by-step explanation:

given data

average length of all 1015 fishes = 98.06 mm

randomly selects 50 fishes average length = 101.04 mm

solution

  • When we get here, we mean to measure, so here we measure a fish in a square lake.
  • And the variable means that a fish varies from fish to fish, so the length of the fish in the squares
  • parameter mean that all individuals in the population so the parameter is average length of all 1015 fish in square lake
  • statics is selct of individual in sample so statistic is average length of random sected so fish in square lake

8 0
3 years ago
Find tan A.<br> A. tanA = 12/5<br> B. tanA = 5/12<br> C. tanA = 13/5<br> D. tanA = 5/13
Andreyy89

Answer:

tanA=BC/AC

BC=20

AC=48

so,BC/AC=20/48=5/12

7 0
3 years ago
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