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Kruka [31]
3 years ago
10

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

\frac{7}{15} of the circle is shaded.

Step-by-step explanation:

Circle Consists of 3 parts.

First part is the shaded part.

Now Given:

Portion of Second part = \frac{1}{5}

Also Given:

Portion of Third part = \frac{1}{3}

We need to find the portion of shaded part.

Solution:

We know that 1 whole circle is divided in 3 parts.

So Portion of shaded part will be equal to 1 circle minus Portion of Second part minus Portion of third part.

framing in equation form we get;

Portion of shaded part = 1-\frac{1}{5}-\frac{1}{3}

Now taking LCM for making the denominator common we get;

Portion of shaded part =\frac{1\times15}{15}-\frac{1\times3}{5\times3}-\frac{1\times5}{3\times5} = \frac{15}{15} - \frac{3}{15}-\frac{5}{15} = \frac{15-3-5}{15} = \frac{7}{15}

Hence We can say that \frac{7}{15} of the circle is shaded.

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Answer:

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Step-by-step explanation:

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If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
steposvetlana [31]

Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

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Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

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Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4
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Problem 1

The error is 2 inches since her estimate is 2 inches off the true value.

We can think of it like this

4 feet = 4*12 = 48 inches

4 feet, 2 inches = 4 ft + 2 in = 48 in + 2 in = 50 inches

So she guesses he is 48 inches, but he's really 50 inches, so 50-48 = 2 inches is her error.

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

Problem 2

Divide the error (2 inches) over the actual height (50 inches) to get

2/50 = 4/100 = 4%

The percentage error is 4%

This means she is 4% off the target.

Note how 4% of 50 = 0.04*50 = 2 which was the error we found back in problem 1.

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