Answers
Let x be the length of each side of the nonagon. We then split up the nonagon into 9 congruent, isosceles triangles, each with base = x and height = 12. Then the area of each triangle is 1/2 • x • 12 = 6x, so the total area of the nonagon will be 9 • 6x = 54x.
To find x, we can use some facts from geometry and trigonometry.
• In any polygon, the sum of the measures of the exterior angles is 360°. So each of these exterior angles will measure 360°/9 = 40°.
• Exterior angles are supplementary to the interior angles. So each interior angle will measure 180° - 40° = 140°.
• Each of the 9 triangles are isosceles with base angles measuring half the interior angles of the nonagon, 140°/2 = 70°.
• Cut the triangle in half along the labeled inradius of the nonagon, which has length 12. In the resulting right triangle, we have
tan(70°) = 12 / (x/2)
and solving for x gives
tan(70°) = 24/x
x = 24/tan(70°)
x = 24 cot(70°) ≈ 8.7
Then the total area of the nonagon is
54x = 54 • 24 cot(70°) ≈ 471.7
Related Questions
A weather forecast states that there is a 20% probability of rain on each of the next 3 days.
Complete the description of a simulation you could perform using random numbers to find the experimental probability that it will not rain on any of the next 3 days.
To simulate a 20% probability of rain over 3 days, let
of 10 numbers represent a day with rain. So,
of the numbers represent a day without rain. Then, perform multiple trials, generating
random numbers for each trial.
Answers
answer: The experimental probability that it will not rain on any pf the next 3 day is 64/125
The probability of raining is 20%
Hence, the probability that there will be no rain, is (100-20) = 80%
The probabilty that there is no rain on the first day is 80/100 = 4/5
Hence, the required probaility is (4/5)3 = 64/125
The dot plots below show the weights of the players of two teams: Based on visual inspection of the dot plots, which team appears to have the larger mean weight?
A. Not enough information is available to draw a conclusion.
B. Both groups are similar.
C. Team E
D. Team F
Answers
Answer:
D. Team F
Step-by-step explanation:
Team F is expected to have larger mean since the dots are for the higher values of weights and hence will result in higher mean but for team E the dots are for smaller weights and which result in a less mean.
GIVING BRAINLIEST!!!
Jenna is surveying the number of trucks in parking lots. One parking lot has 9 trucks and a total of 36 vehicles. Based on her survey, how many can she predict will be trucks?
A. 26
B. 3
C. 77
D. 416
Answers
(PLS HELP MY TEACHER WANTS ME TO PASS THIS!!)
Which relation is NOT a function?
A. {(0, 0), (1, 1), (1, 2)}
B. {(0, 1), (2, 2), (3, 1)}
C. {(1, 0), (3, 3), (0, 1), (2, 3)}
D. {(3, 8), (6, 11), (8, 3), (11, 6)}
Answers
Answer:
A
Step-by-step explanation:
Because 1 has more than one output, first they are putting 1 and 1 together, next they are putting it with 2, 1 has more than one output.
Answer:A has 2 pairs of "1" x-coordinates so it is NOT a function.
Step-by-step explanation:
How many different calculators are available?
I need this answer ASAP! Correct answer with explanation will get marked brainliest
Answers
12 different calculators
total = types x colors
total = 4 x 3 = 12
Answer: 12
The price of one share of Acme Company declined $2 per day for 4 days in a row. How much did the price of one share change in total after the 4 days?**Just write the negative or positive number (Example. -1 or 1)
Answers
its either -8 or 8 im not sure which good luck tho!
Find surface area will give branliest if answer is right.
Answers
Answer:
66 in^2
Step-by-step explanation:
I NEED HELP ASAP!!! ^^ ( I WILL GIVE BRAINLIEST)
Answers
Answer:
320 ft³
Step-by-step explanation:
volume = (area of base) × (height of prism)
volume = bh/2 × (height of prism)
volume = (6 2/3 × 8/2 × 12) ft³
volume = 320 ft³
Answer:320 ft³
Step-by-step explanation:
HELP FAST !! What is the correct answer? I think that it’s the last one.
Answers
Answer: The third one
Step-by-step explanation: 1/21(z)=42 z=882. If you check each equation with each other the answer is correct. Also 882/21=42
Answer:
C or D
Step-by-step explanation:
its either one of those two but go woth which ever you thuink
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid? 4 in. 12 in. 24 in. 36 in.
Answers
Answer: 4 inches
Step-by-step explanation: 1,944 / 18/ 9 / 1/3 = 4
Based on the calculations, the height of this pyramid is equal to: D. 36 inches.
Given the following data:
Volume of pyramid = 1,944 cubic inches.Dimensions of rectangular base = 18 inches by 9 inches.How to calculate the height of this pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × b × h
Where:
b is the base area.h is the height.For the base area, we have:
Base area = length × breadth
Base area = 18 × 9
Base area = 162 square inches.
Substituting the given parameters into the formula, we have;
1,944 = 1/3 × 162 × h
1,944 = 54h
h = 1,944/54
Height, h = 36 inches.
Read more on pyramid here: https://brainly.com/question/2797351
#SPJ2
Correct answer gets BRAINLIEST
Answers
Perimeter: 380ft
Answer:
The perimeter is 380 ft^2.
Step-by-step explanation:
To find the perimeter of a rectangle, you have to use the 2(a+b) formula as a method of solving. This formula can also be written as a+b+a+b or 2a+2b.
To solve it, you input a as 51 and 139 as b, though this doesn't really matter all too much. Using the previously stated formula, you should get 2(51+139). Solving what's in the parenthesis first (51+139), you should get 190.
Now, you should have the answer 2(190). Finishing off the equation and multiplying 2 by 190, your answer will be 380 ft^2.
14.36: Tyler has entered a buffet line in which he chooses one kind of meat, two different vegetables, and one dessert from the selections below. If the order of food items is not important, how many different meals might he choose? Meat beef, chicken, pork
Vegetables: baked beans, corn, potatoes, tomatoes
Dessert:brownies, chocolate cake, chocolate pudding, ice cream
Answers
Answer:
72 different meal optionsStep-by-step explanation:
We have a choice of
1. Meat - 1 of 3 options2. Vegetables - 2 of 4 options3. Dessert - 1 of 4 optionsTotal number of meal combinations is
Meat*Vegetables*Dessert = 3C1*4C2*4C1 = 3*6*4 = 72Which number line shows all the values of y that make the inequality -6y - 2 > 10 true?
Answers
B is what makes the equation true
Can anyone help with this problem?!
Answers
Answer:
1) 24 2) 65
Step-by-step explanation:
1) 40-8x when x=2
8*2=16
40-16=24
2) 65/p*3 when p=5
65/5= 13
13*5= 65
Hope this helps ^^
6) a. 40-8x
= 40-8(2) ← [8 x 2]
=40-16
=24
John runs 7 miles in 67 minutes. How many miles does he run per minute?
Answers
67 divided by7=9.57
then just round that to about 9.6 per minute
ASAP (I will give brainliest for most accurate answer) move the options to the blank to complete the series of transformations that will show triangle abc - def
Answers
Answer:
1. is 2
2. is right and 10
Step-by-step explanation:
just took the test will explain if needed
From the triangles given, ∆ DEF was dilated to ∆ ABC
The dilated triangle is = ∆ ABC
To find the scale factor uses for the dilation of the triangle, the length of the triangle AC and DF are considered.
AC from the scale= -2 -(-7)
= 7-2= 5
DF= 9-6.5
= 2.5
Therefore the scale factor = 5/2.5 = 2
And since the scale factor of dilation is 2 this means that ∆ A' B' C' can be translated to the 0.5 by 2 units.
Learn more about triangles here:
https://brainly.com/question/2644832
#SPJ2
I was supposed to post this earlier! (WILL GIVE BRAINLIEST)
Even If your wrong I will still give credit because Your amazing! ^^
Answers
Answer:
Volume of the prism = lwh
l = length = 2 cm
w = width = 3 cm
h = height = 7 cm
—
Volume = 2x3x7 = 42 cm³
—
Have a nice day!!
Answer:
the other person is right- 42 cm³
i took the test it should be that
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answers
Answer:
ok so 9x5 = 45 so 45 is the area and the perimeter is 9 + 9 + 9 + 9 which is = to 36
Step-by-step explanation:
A tank can be filled in 22 and a fifth minutes. What fraction of it will be filled in 21 min
Answers
Answer:
I believe the answer is about 95 percent.
Step-by-step explanation:
The reason for this answer is because as said 22 and a fifth would mean the tank is full. This means I set up a proportion. What I did was...
22 1/5 over 100 = 21 over x
Now: I do 21 multiply by 100 divided by 22 1/5 to get the answer
What I just wrote is the rule of proportions
Finally, after doing all of that, the answer I got was 94.59459459, but I rounded to the answer of 92 percent.
In your class, 7 students do not receive a weekly allowance,5 students receive $3 , 7 students receive $5, 3 students receive $6 , and 2 students receive $8 .
a. What is the mean weekly allowance?
The mean weekly allowance is______
dollars.
Answers
Answer:
The mean weekly allowance is $3.5
Step-by-step explanation:
to find the average, we add up everything, and divide it by how many students there are.
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8 <- this is what you add up
you get 84. Then you divide this amongst all of the students.
7+5+7+3+2=24
84/24 = 3.5
Please give brainliest!
Hope this helps :)
you multiply the amount of money with the amount of students then add it all together after you get your total ($84) you add the number of students including those who had no money (24) you then divide 84/24 your answer is $3.5
In the figure below, what is m∠DAC? A. 47 B. 57 C. 90 D. 137
Answers
your answer would be 47
please let me know if i was wrong :)
PLEASEE NEED HELP THE QUESTION NEEDS TO BE DONE LIKE NOWW!! :))
Answers
Answer:
2,-2;-4,-2;-5;-5
Step-by-step explanation:
Answer:
The first is (-5,5) the second is (-4,2) and the third (2,2)
PLS HELP ASAP ITS DUE TODAY!!
Answers
Answer: C
Step-by-step explanation:
vEASONING Consider the stem-and-leaf plot shown.
Stem Leaf
0 2 3
1
2 1 6
3 0 4 6
4 4 5 8 8 9
Key: 4 | 8 = 48
a. How many data values are at most 10?
Number of data values:
Question 2
b. How many data values are at least 30?
Number of data values:
Question 3
c. How are the data distributed?
Answers
Answer:
5 is the answer
B. 8
C. Skewed left
ill give brainly HURRY
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answers
Answer:
The total cost of the cleaning service is $180
Step-by-step explanation:
We have, 30% × x = 54
or,
30/100 × x = 54
Multiplying both sides by 100 and dividing both sides by 30,
we have x = 54 × 100/30
x = 180
If you are using a calculator, simply enter 54×100÷30, which will give you the answer.
PLS HELP! I will give brainliest if correct!
What is the surface area of the three-dimensional solid you created?
35 cm2
56 cm2
72 cm2
90 cm2
Answers
Answer:
72 cm²
In order to find the surface area of rectangular prism
rectangular prism surface area: 2(LW + HW + HL)
Identify following sides:
Length: 6 cmWidth: 3 cmHeight: 2 cmSolve for surface area:
2(6*3 + 2*3 + 2*6)2(18 + 6 + 12)2(36)72 cm²Explain your answer.
Answers
Answer:
60%
Step-by-step explanation: Because the graph flattens out at about 60% meaning that that is the most likely percentage.
Every day, the Sandoval Family Restaurant serves 5/6 of a bottle of soda to their customers. How many days will 7 1/2 bottles of soda last?
Answers
Answer:
9 days
Step-by-step explanation:
1 day: 5/6 2 days: 10/6 3 days: 15/6 4 days: 20/6 5 days: 25/6
6 days: 30/6 7 days: 35/6 8 days: 40/6 9 days: 45/6
If you divide 45 and 6 by 3 you get 15/2. If you put 15/2 into a mixed number you would get 7 1/2. So 9 days would be your answer.
Answer:
7 1/2 bottles will last 9 days
Step-by-step explanation:
To answer this, divide '7 1/2 bottles' by '5/6 bottle per day:"
7 1/2 bottles
-----------------------
5/6 bottle/day
The unit "bottle"/"bottles" cancel, and so we are left with
7 1/2 day
------------------- and this is equivalent to 15 days/2 divided by 5/6 OR
5/6
15 days/2 times 6/5:
15(6)
--------- days = 18/2 days = 9 days (answer)
2(5)
7 1/2 bottles will last 9 days.
ill give brainly but hurry-
Answers
Answer:
I'm answering, give me a sec
Step-by-step explanation:
14.30:A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?
Answers
Answer:
30 waysStep-by-step explanation:
Possible ways to enter
6 windowsPossible ways to exit
5 windows, since same window entered is not usedTotal number of ways is
6*5 = 30