1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANEK [815]
3 years ago
8

Find the perimeter of a regular dodecagon whose vertices are twelve equally spaced points on the unit circle.

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
The vertex angle of any triangle of the dodecagon formed by radii and a side is 360/12=30º.
The half-length of the base of the triangle is sin15=0.2588 approx.
Since there are 12 sides there are 24 half-sides in the perimeter=6.2117.
You might be interested in
What is the value of a and b
TEA [102]
Hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.
4 0
3 years ago
Write the formula, substitution, and solve. A parallelogram is being painted on the wall of a playroom. The parallelogram measur
Andreas93 [3]

Answer:

Area: 40

Step-by-step explanation:

To find the area of a parallelogram you multiply the base times the height, or the length times the height. This is why you multiply 5x8 to get 40. The substitution could be 5 x 8 = X

X is the area.

6 0
3 years ago
A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random
Akimi4 [234]

Answer:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

Step-by-step explanation:

Information given

\bar X=24 represent the mean height for the sample  

s=2.2 represent the sample standard deviation

n=14 sample size  

\mu_o =25 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

Alternative hypothesis:\mu < 25  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

8 0
2 years ago
The ideal temperature of a freezer to store a particular brand of ice cream is 0°F, with a fluctuation of no more than 2°F. Whic
yan [13]

Answer:

| x - 0 | ≤ 2

Step-by-step explanation:

Given,

The ideal temperature of the freezer = 0° F,

Also, it can fluctuate by 2° F,

Thus, if x represents the temperature of the freezer,

Then, there can be two cases,

Case 1 : x > 0,

⇒ x - 0 ≤ 2

Case 2 : If x < 0,

⇒ 0 - x ≤ 2,

⇒ -( x - 0 ) ≤ 2,

By combining the inequalities,

We get,

| x - 0 | ≤ 2,

Which is the required inequality.

8 0
3 years ago
the length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches what are the dimension
deff fn [24]
Perimeter P=2L+2W
P=24
L=w+4
P=2(w+4)+2w
24=2w+8+2w
24=8+4w
16=4w
w=4
L=8
6 0
3 years ago
Other questions:
  • Sammy is conducting a science experiment were he has to mix 8. 25 ounces and 430 ounces of lemon juice. How many ounces will he
    6·1 answer
  • In a standard deck of cards there are four suits Spades, clubs, hearts and Diamonds. Each suit has one each of 13 cards: ace, ki
    12·2 answers
  • What is he value of F(-3)
    9·1 answer
  • Rewrite the expression in standard form by collecting like terms in 9-5(1/10p-3 1/5)
    10·1 answer
  • Congruent triangles pls help
    13·1 answer
  • Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
    14·1 answer
  • 4x - 3 ( x - 2 ) = 21
    8·2 answers
  • Necesito ayuda con estas consignas ​
    14·1 answer
  • The temperature at midnight was -12 degrees F. The temperature rose to 28 degrees by noon.
    14·1 answer
  • Teresa is a software salesperson. Her base salary is $1700 and she makes $ 70 more for every copy of Math is Fun she sells. Her
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!