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Sveta_85 [38]
3 years ago
15

circle 1 is centered at 4,3 and has a radius of 5 centimeters circle 2 is centered at 6,-2 and has a radius of 15 centimeters. W

hat transformatons can be applied to circle one to prove that the aircles are similar?
Mathematics
1 answer:
wolverine [178]3 years ago
5 0
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

</span>we have that
 <span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2 
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3

radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2 

A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>


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Liam works at a zoo. He was looking at some data showing the masses of their
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Median won't change, however Mean will fall by 180.

<h3>What do mean and median?</h3>

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

Lola, the elephant that was the smallest, weighed 2700 kg.

Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was  3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5   = 3620  kg

Mean reduced by 3800 - 3620  = 180 kg

No change in Median weight

Mean reduced by 180 kg

To know more about mean and median click the link:

brainly.com/question/12528427

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4 0
1 year ago
Help on number 8? Helper gets points. Please show work :p.
Monica [59]

Student P:

They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong

Student Q:

They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).

Complete set:

From the picture, it looks like the original problem was

-2.5(1.4+3.1)+6.9(-4.3)

Step 1: multiply

1.4(-2.5)+3.1(-2.5)+6.9(-4.3)

Step 2: subtract (add?) them all together

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Answer:

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apply Pythagoras theorem

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Answer:

Step-by-step explanation:

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