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erma4kov [3.2K]
2 years ago
11

Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to cir

cle y
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
4 0

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

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Answer:

$3.75

Step-by-step explanation:

$1500 / 400 = $3.75

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2 years ago
HELP THIS IS 50 points HALF OF MY GRADE!!:(
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there are 18 students are represented on the line plot

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2 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20ab
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Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1:6. How many teaspoons of oregano do you
irina1246 [14]

Answer:

48 teaspoons of Oregano

Step-by-step explanation:

Ratio is given as:

Cans of tomatoes : Teaspoons of Oregano

1 : 6

Hence:

1 can of tomatoes = 6 teaspoons of Oregano

8 can of tomatoes = x teaspoons

Cross Multiply

x = 8 × 6 teaspoons

x = 48 teaspoons of Oregano

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3 years ago
If y varies directly with x and y doubles then x?
arsen [322]

Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

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3 years ago
Read 2 more answers
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