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3 years ago

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation.

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

4 0

The two figures are similar because they are the same shape, but one is more dilated than the other.

alexira [117]3 years ago

4 0

They are the same thing because the shape but are different it just the size difference. But they are still the same in figure form.

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A pizza has a diameter of 12 inches. Each piece has a central angle of radians. What is

Firlakuza [10]

Answer:

The area of one slice of pizza is 18 in²

Step-by-step explanation:

First we have to know that the 360 ° representing the circle expressed in radians are expressed as 2π

Now we must calculate the area of the circle

a = π * r²

a = π * (12in)²

a = 144π in²

Now that we have the area of the circumference we multiply it by (π/4) / (2π)

144π in² * (π/4) / (2π) =

144 in² * 1/8 =

18 in²

The area of one slice of pizza is 18 in²

3 0

3 years ago

What's a simplified form of x-1+4+7x-3

Dovator [93]

Ok so right now leave the x's alone. Now add/subtract the numbers without variables which would equal to 0 since -1+4 = 3 and 3-3 =0

now 7x+x =8x so 8x is answer

8 0

3 years ago

What fraction is equivalent to 68%

masya89 [10]

68/100; 34/50;17/25

5 0

3 years ago

Read 2 more answers

Messed up and didnt put the attachment on the last post

Margarita [4]

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

3 0

3 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur

Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.1 = 0.9$ , so Z = 1.28.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28\frac{1.5}{\sqrt{305}} = 0.1$

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0

3 years ago