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Akimi4 [234]
3 years ago
12

A regular polygon

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

3.6° = ext. angle

Step-by-step explanation:

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

\frac{180(n-2)}{n}

\frac{180(100-2)}{100}

\frac{180(98)}{100}

\frac{17640}{100}

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

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Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre
artcher [175]

Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.

Step-by-step explanation:

Since we have given that

p = 48% = 0.48

n = 115

x = 46

So, \hat{p}=\dfrac{46}{115}=0.40

So, hypothesis would be

H_0:\ p=\hat{p}\\\\H_a:p

So, test value would be

z=\dfrac{p-\hat{p}}{\sqrt{\dfrac{p(1-p)}{n}}}\\\z=\dfrac{0.48-0.40}{\sqrt{\dfrac{0.48\times 0.52}{115}}}\\\\z=\dfrac{0.08}{0.0466}\\\\z=1.72

At 10% level of significance, critical value would be

z= 1.28

Since 1.28 < 1.72

So, we will reject the null hypothesis.

Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.

6 0
3 years ago
So I'm in an online class of geometry and one of the units is trig. but no matter how long i keep learning or trying to learn th
Arturiano [62]

Answer and explanation:

There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.

Those ratios relate two sides of a right triangle and one angle.

Assume the following features and measures of a right triangle ABC

  • right angle: B, measure β
  • hypotenuse (opposite to angle B): length b

  • angle C: measure γ
  • vertical leg (opposite to angle C): length c

  • horizontal leg (opposite to angle A): length a
  • angle A: measure α

Then, the trigonometric ratios are:

  • sine (α) = opposite leg / hypotenuse = a / b
  • cosine (α) = adjacent leg / hypotenuse = c / b
  • tangent (α) = opposite leg / adjacent leg = a / c

  • cosecant (α) = 1 / sine (α) = b / a
  • secant (α) = 1 / cosine (α) = b / c
  • cotangent (α) = 1 / tangent (α) = c / b

Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.

For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.

  • sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
  • cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3

Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.

7 0
2 years ago
Pls help me asap pls!!
Ne4ueva [31]

Answer:Its A or C

Step-by-step explanation:

3 0
2 years ago
Select a counter-example that makes the conclusion false.
Softa [21]
A counter-example could be

There are more than 3 marbles in the bag, and the other ones are red.

Hope this helps!
4 0
3 years ago
A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width
fenix001 [56]

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

/4

w= 10

Hope this helps!

8 0
3 years ago
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