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
sweet [91]
3 years ago
11

each exterior angle of a regular n gon shaped gazebo at Logan Park measures 22 1/2 degrees each exterior angle of a regular n go

n shake gazebo at Cerro Park measures 15 15/23 degrees. How many sides does a gazebo at Logan Park is different from the gazebo at Cerro Park ​
Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

Answer:

The difference in number of sides from one park to the next is 7

Step-by-step explanation:

For all polygon's the exterior angles combine to measure to 360 degrees. So to find the number of sides of each gazebo, we simply divide 360 by the measure of each individual exterior angle. We'll start with Logan Park.

360/22.5 = 16 sides

Now we can do the same with Cerro Park.

360/15.65 = 23 sides

Therefore, the difference in sides would be 7

23 - 16 = 7

ivolga24 [154]3 years ago
4 0

Answer:

Step-by-step explanation:

the exterior angles of a polygon sum to 360

so the number of sides is 360/45  

You might be interested in
What would be the total number of outcomes in each sample space?
Lerok [7]

Answer:

810

Step-by-step explanation:

In this case the sample space would be the number of combinations that can be made with the numbers from 1 to 30 with the letters of the alphabet, from "a" to "z", for example:

A1, A22, C4, F9, etc

Now we know how many numbers are 30, now the alphabet has 27 letters, therefore, the number of combinations are:

27 * 30 = 810

Which means that the total number of results is 810.

3 0
3 years ago
The sugar content of the syrup is canned peaches is normally distributed. Assumethe can is designed to have standard deviation 5
andreyandreev [35.5K]

Answer: 0.50477

Step-by-step explanation:

Given : The sugar content of the syrup is canned peaches is normally distributed.

We assume the can is designed to have standard deviation \sigma=5 milligrams.

The sampling distribution of the sample variance is chi-square distribution.

Also,The data yields a sample standard deviation of s=4.8 milligrams.

Sample size : n= 10

Test statistic for chi-square :\chi^2=\dfrac{s^2(n-1)}{\sigma^2}

i.e. \chi^2=\dfrac{(4.8)^2(10-1)}{(5)^2}=8.2944

Now, P-value = P(\chi^2>8.2944)=0.50477  [By using the chi-square distribution table for p-values.]

Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477

8 0
3 years ago
Help please 6+6x4+8.................
Natasha_Volkova [10]
,12x12=144.................
6 0
3 years ago
Read 2 more answers
Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year, he has
Oksi-84 [34.3K]
The answer is c. 240 = 97+h
6 0
3 years ago
Read 2 more answers
Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
Other questions:
  • What the surface area
    13·1 answer
  • Find x in the given figure. answers: 18 144 24 9
    9·2 answers
  • Simplify help me plss cuz I don’t find the answer
    9·1 answer
  • Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
    8·2 answers
  • What is the value of -32+(-47)(2)?
    14·2 answers
  • The mapping diagram shows a function R(x).<br> Which mapping diagram shows the inverse of R(x)?
    11·2 answers
  • Which fraction is equivalent to negative 2 over 3? 2/- 3, -3 / 2, -2 / -3, 2 / 3
    13·1 answer
  • each of the 26 and students and Carrie's class chose either drums or horns to play during music class. If 4 more students chose
    11·1 answer
  • 6<br> What is the value of [(-2) + 347
    11·1 answer
  • 3. Multiply: (x + 8)(x - 12)<br><br> Please show work
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!