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3 years ago

Find the unknown angle

Mathematics

1 answer:

kaheart [24]3 years ago

3 0

Answer:

x=60

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

40+80+x = 180

Combine like terms

120+x =180

Subtract 120 from each side

120-120+x = 180-120

x = 60

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Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.

Tanya [424]

Answer:

Step-by-step explanation:

if you are going in a negative direction or by a decimal you are contracting, so the image would get smaller. If you are going in a positive direction(has to be a whole number as well) you have an expansion.

5 0

3 years ago

Using the frequency table given, find the mean, median, and mode.

aalyn [17]

Answer:

$Mean = 69$

$Mode = 66$

$Median = 69$

Step-by-step explanation:

Given

The frequency table

Required

Determine the mean, median and mode

Calculating Mean

$Mean = \frac{\sum fx}{\sum f}$

Where

fx = product of frequency and inches

f = frequency

So;

$Mean = \frac{63 * 2 + 65 * 1 + 66 * 4 + 67 * 3 + 68 * 1 + 69 * 2 + 70 * 2 + 71 * 1 + 72 * 3 + 74 * 2 + 75 * 2}{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}$

$Mean = \frac{1587}{23}$

$Mean = 69$

Calculating Mode

$Mode = 66$

Because it highest frequency of 4

Calculating Median

$Median = \frac{\sum f}{2}th\ position$

$Median = \frac{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}{2}th\ position$

$Median = \frac{23}{2}th\ position$

$Median = 11.5th\ position$

Approximate

$Median = 12th\ position$

At this point we, need to get the cumulative frequency (CF)

Inches ---- Frequency ---- CF

63 -------------2------------------2

65 -------------1------------------3

66 -------------4------------------7

67 -------------3------------------10

68 -------------1------------------11

69 -------------2------------------13

70 -------------2------------------15

71 -------------1------------------16

72 -------------3------------------19

74 -------------2------------------21

75 -------------2------------------23

From the above table

Since the median fall in the 12th position, then we consider the following data

69 -------------2------------------13

because it has a CF greater than 12

Hence;

$Median = 69$

7 0

4 years ago

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Musya8 [376]

Answer:

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Step-by-step explanation:

I reviewed the test i took and it said it was right.

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3 years ago

F(x) = -x + 5 What’s the value

alekssr [168]

Answer:

Step-by-step explanation:

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3 years ago

Use the unit circle to find the inverse function value in degrees cos^-1 (sqrt3/2)

Marina CMI [18]

Better to write that as:

-1
cos [ sqrt(3) / 2 ]

since the cosine is defined as "adjacent side over hypotenuse," we know that the adj. side is sqrt(3) and that the hyp is 2. The primary solution will be in Quadrant I because the adj. side is positive.

Think: which angle in Q I has adj. side equal to sqrt(3) and hyp equal to 2?

That'd be 30 degrees. Unfortunately, that's not one of your answer choices. Thus, reflect that angle in the positive x-axis; you'll end up with a ray whose positive angle is 330 degrees.

I'd suggest you ensure that you've copied this problem down correctly.
sqrt(3)
Did you mean sqrt(3/2) or did you mean ---------- ??
2

3 0

3 years ago