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grin007 [14]
3 years ago
15

Movie genres. The pie chart summarizes the genres of 120 first-run movies released in 2005. a) Is this an appropriate display fo

r the genres
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

Yes, it is appropriate

Step-by-step explanation:

Given

See attachment for pie chart

Required

Is the pie chart appropriate

The attached pie chart displays the distribution of each of the 4 genre. The partition occupied represents the measure of each genre.

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16. Which is greater, 4^-2 or<br> 2^-4? How do you know?<br> Those are exponents.
gladu [14]

Answer:

Both are equal to \frac{1}{16}

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}

2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}

4 0
3 years ago
Triangle CAT is transformed to produce triangle DOG.
PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

  • A reflection, then a translation.
  • A rotation, then a reflection.

--------------------------

  • Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
  • In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
  • A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
  • A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
  • In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

  • A reflection, then a translation.
  • A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0
2 years ago
What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 1/3?
Alexus [3.1K]

The equation of a line in point-slope form is y-6=1/3(x-2) remember point-slope is y1-y2=m(x1-x2)

8 0
2 years ago
Can someone help me?! I don’t understand how to do these problems
Dmitriy789 [7]

Answer:

first do 9x40 and get your answer then do 18x3 and get that answer and then add to do answers together

7 0
3 years ago
Read 2 more answers
A student solves the following equation and
Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}

\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)

\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)

\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)

as

  • \frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)
  • -\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a
  • \frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2

so equation becomes

3\left(a-2\right)-6a=a+2  

-3a-6=a+2

-3a-6+6=a+2+6

-4a=8

\mathrm{Divide\:both\:sides\:by\:}-4

\frac{-4a}{-4}=\frac{8}{-4}

a=-2

\mathrm{Verify\:Solutions}

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}

\mathrm{Solve\:}\:a+2=0:\quad a=-2

\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2

\mathrm{Solve\:}\:a-2=0:\quad a=2

So the following points are undefined

a=-2,\:a=2

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0
3 years ago
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