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Mekhanik [1.2K]
3 years ago
5

Please help with this

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

The sides are in proportion.

The proportion is 20/36

The other sides must be in the same proportion: 5x / 45

5x/45 = 20/36        You can reduce the left side by dividing top and bottom by 5

1x / 9 = 20/36          You can reduce the right side by dividing by 4

x / 9 = 5/9                at this point you should be able to see that x = 5, because the denominators are the same.

That is the answer.

However you can extend this by cross multiplying

9x = 45                      Divide by 9

x = 45/9

x = 5

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Shkiper50 [21]

To solve this problem, we are going to use a method called dimensional analysis. This involves canceling out units by multiplying by fractions equivalent to 1. We begin with our given information, that the jet flies 500 miles in one hour, and we multiply that by the fraction 1 hour/60 minutes, which is equivalent to 1. We also have to multiply by 1 minute/60 seconds, because we are looking for the amount of miles the jet flies in seconds.

500 miles/1 hour * 1 hour/60 minutes * 1 minute/60 seconds = 500 miles/3,600 seconds

Now that we have our equivalent in seconds, we must multiply by 10 seconds in order to find our answer.

500 miles/3,600 seconds * 10 seconds = approximately 1.3888 miles

Therefore, the jet flies about 1.39 miles in 10 seconds.

Hope this helps!

5 0
3 years ago
The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l
nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

  • The scale factor that moves the large triangle to the small one is 1/5
  • The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\mathbf{Base\ of\ small\ triangle = 1}

\mathbf{Base\ of\ large\ triangle = 5}

So, the scale factor (k) from large to small is:

\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }

\mathbf{k = \frac{1}{5} }

Read more about dilation at:

brainly.com/question/13176891

3 0
3 years ago
On a number line if point A lies -3 and point B lies on 4, what is the length of AB
tresset_1 [31]

Answer:

7

Step-by-step explanation:

4-(-3)=

4+3=

7

5 0
3 years ago
(x^2y^-2)^3/yx^-4 please help
TiliK225 [7]
Hey is there a way you could send a photo of the equation
3 0
2 years ago
Plz help! I will make you the brainliest! Thanks!
Andrews [41]
So to start you will need to divide by -5 then -5 divided by -5 cancelle
4 0
3 years ago
Read 2 more answers
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