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Ad libitum [116K]
3 years ago
9

An interior angle of a regular polygon has a measure of 135° how many sides does it have

Mathematics
1 answer:
butalik [34]3 years ago
6 0

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = \frac{360}{45} = 8


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Find the inverse of the following
spin [16.1K]

Answer:

Inverse should be (-2y^2 + 4)/(ln 3)

Step-by-step explanation:

Find Y, for reversed roles/position of X and Y. Cancel out square root with ^2. Cancel out -2 by multiplying. Then, add 4 to both sides to cancel them out. Finally, nature log it and divide it to isolate X.

7 0
3 years ago
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Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level
slega [8]
90The information that you'd need in determining sample size when the standard deviation is unknown is:

z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645

The margin error (E) = 4%

The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.

The probability of not success is q = 1 - 0.5 = 0.5

STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02

STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25

STEP 3: 
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Then square the answer = 82.25² = 6765 rounded to the nearest integer)

STEP 4: 
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)

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8 0
3 years ago
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X divided by 4 = -7 What is x? Show your work​
storchak [24]

Step-by-step explanation:

Here's the answer hope it helps

6 0
3 years ago
Use the unit circle to evaluate the followingHow do I solve this problem?
Ilya [14]

Notice that:

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\cos (\pi+x)=-\cos (x)\text{.}

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cos(\frac{4\pi}{3})=-\frac{1}{2}\text{.}

6 0
1 year ago
Jackson had $25 to spend on groceries . After purchasing 5 cantaloupes he had $2.50 left how much did each cantaloupe cost
charle [14.2K]
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This is shown as 25 - 5x.
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First, subtract 25 from both sides.
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