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
There is a pair of parallel sides in the following shape.
What is the area of the shape
Answers
Answer:
76 i got this by multiplying
A regular-size box of dog treats measures 3 1/4 inches by 7 1/2 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box.
What is the volume of the small-size box of dog treats?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
87 3/4
Step-by-step explanation:
If the manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box, then the volume of the small-size box of dog treats would be 87 3/4.
How to determine the volume of the boxTo determine the volume of the box, we would first convert the measurements of the regular-size boxes to a proper fraction. We could proceed as follows:
3 1/4 inches = 13/4
7 1/2 inches = 15/2
12 inches
Now we sum the volumes as follows: (13/4) * (15/2) * (12/1)
= 585/2 cubic inches
Now, we would find 3/10 of 585/2 cubic inches
= 87.75 inches or 87 3/4 cubic inches.
Learn more about volume here:
https://brainly.com/question/27710307
#SPJ2
PLEASE HELP
For each of the number lines, write an absolute value equation in the form |x - c|=d, where c and d are some numbers, to satisfy the given solution set.
Answers
Answer:
I believe it's [tex](-8)-0=-8[/tex]
Step-by-step explanation:
Just add the lines on the side and it is on the line and x and d are the same number. If it's wrong I'm so sorry!!
Item 19
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answers
Answer:
C. There would be 44 Campers who like basketball.
Step-by-step explanation:
When you divide 200 and 22% you get 44. 44 campers like basketball
Will give brainiest!! check all of these and help on the ones I haven't done Domain and Range pretty easy.
Answers
Answer:
functions domain and range
Step-by-step explanation:
well when given a function as based by the graphs given if present with a line that passes the vertical and horizontal line test without touching the same two problems it will always be a function like 32. it would be for range would be y is greater than or equal to 1 and domain being 0 ≤ x ≥ 3
hope this helps and if I'm incorrect I apologize I haven't done this in like 2 years
Multiply.
1/a x a, if a ≠ 0
What is this supposed to mean?
Answers
HELPPPPP
A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.35?
Answers
Answer: $0.35
Step-by-step explanation:
Answer: 7%
Step-by-step explanation:
Ok, we'll start by listing the facts.
Facts
Pack of pencils is $5
Total cost: 5.35
This means the sales tax is 35 cents, but we need to find the percentage to get the sales tax rate.
We can do this by dividing .35 by 5
0.35÷5= 0.07
Convert 0.07 to a percentage by multiplying it by 100
0.07x100= 7
Hence the sales tax rate is 7%. We can check to make sure this is correct by finding 7% of 5, and then adding the result to the 5.
7% of 5= 0.35
5+0.35= 5.35
Hope this helps, and brainliest would be appreciated :))
Find the real solution(s) of the following equation. t3 = 343
Answers
i don't really understand your question, maybe there is more too it, than just that, i don't think i answered it completely, but i hope this help!
Answer:
T = 340 3 = 3 / T + 3 = 340
Step-by-step explanation:
"T" will be used as a variable, and to find out what "T" equals, we need to take the answer of the problem and take away "3", 343 - 3 = 340
"T" = "340"
T + 3 = 340
Not Verified!
H E L P ^^ (WiLl GiVe BrAiNlIeSt)
ASAP!!!!!!!!!!!!!
Answers
Answer:
3216 cm²
Explanation:
Area of triangular prism = base × height + Length × (perimeter of base)
Here given:
base: 14 cmheight: 24 cmlength: 45 cmperimeter: (14 + 25 + 25) = 64 cm===========================================
Area of the prism = 14 × 24 + 45 × 64 = 3216 cm²
Solve for x
41.68x+2000=60x
Answers
Answer:
109.17030567685
Step-by-step explanation:
41.68x+2000=60x
-41.68x -41.68x
2000=18.32x
/18.32 /18.32
109.17030567685=x
-41.67x -41.67x
———————————-
2000 = 18.33x
(divide both sides by 18.33)
Answer:
x = 109.110747
PLEASE HELP 3 QUESTION I'LL GIVE BRAINIEST
Answers
Answer:
corresponding angles= angle CAB and angle GEF
corresponding sides = side FE and AB
Step-by-step explanation:
please mark brainliest
Answer:
just so you can mark them brainlist :)
Step-by-step explanation:
1/2(10s+14d)=1/2(10x5+14x4)
Answers
Answer:
the answer to your question is 53
Step-by-step explanation:
I added the 2 numbers in the parentheses and then divided by 2
Steven draws △ABC, with m∠ABC = 110°, m∠BAC = 40°, and m∠BCA = 30°.
Which triangle represents Steven’s triangle?
(Picture/Image Below)
Answers
Answer:
x
Step-by-step explanation:
angle bac and bca need to be acute and similar in size and angle abc needs to be an obtuse angle. This is the only triangle where angle abc is obtuse.
can someone help me pls? it helps a lot with my grades. (:
Answers
Answer:
D. 8,9
Step-by-step explanation:
Square root of 74 is around 8.6 So we want to find numbers that are less than 8.6 and more than 8.6
Option D is best becasue 8 < 8.6 < 9.
I am really confused please help!
Answers
We all know 2/1 is 2, so now we know the density is 2 grams per milliliter
Commonly written as 2g/mL
What does the value of x have to be for the figure to be classified as a right isosceles triangle? Justify your reasoning.
Answers
c^2= a^2+b^2. Since both lengths are x inches, c^2= 2x^2. When you replace
c with 10 and simplify, x ~ 7.1.
WILL GIVE BRAINLIEST!!! Write each of the following expressions without using absolute value.
|z-7|-|z-9| if Z is less than 7
Answers
Answer:
If z<7, then z-7 is negative, and |z-7| is positive. So, with the understanding that z-7 is positive, the first part of this expression becomes:
7-z for z<7
Similarly: if z<7, then z-9 is negative and |z-9| is positive. Thus, -|z-9| is equivalent to (9-z).
|z−7|−|z−9|, if z<7 becomes (7-z) - (9-z) for z<7. Simplifying this, we get:
7 - z - 9 + z = -2
Answer:
7 - z - 9 + z = -2
HELP URGENT PLEASE 50 POINTS
Answers
Answer:
864 inches
1ft/12in
Step-by-step explanation:
To find out how many inches are in this 72 foot tree simply divide 72 by 12
the reason we do this is because 12 inches are in 1 foot
and this comes out to 864inches
Answer:
864 inches
Step-by-step explanation:
Ive done this before
Translating shapes on a graph. ^^
Please need help, i need to complete this now :))
<3
Answers
Answer:(-5,1) (-5,2) (-8,1)
Step-by-step explanation: first, the x reflects on the same distance away from the y-axis but the x points are negative, to make go from (5,1) to (-5,1) which puts on the y side.
Hope that helps!
-x=-6 what is X is it 6 or -6?
Answers
Answer:
6
Step-by-step explanation:
It may be confusing to see why it would 6 instead of -6. The missing value in the X already includes the negative symbol. So if the 6 was the X value, then the negative sign would apply to the 6 making it - 6. The results would be:
⇒ [tex]-x = -6[/tex]
⇒ [tex]-6=-6[/tex]
Pls help me with this problem
Answers
Answer:
it is number 3
Step-by-step explanation:
i am just putting something here so it will not get taken down
hope this helps
[tex]\frac{-4}{5}x +7=-13[/tex] Find the value of x
Answers
Answer: x = 25
Step-by-step explanation:
[tex]-\frac{4}{5} x + 7=-13[/tex]
1. First get X by itself by subtracting 7 from both sides
[tex]-\frac{4}{5} x=-20[/tex]
2. Multiply by the reciprocal of 4/5 on both sides
[tex](-\frac{5}{4} )-\frac{4}{5} x=-20(-\frac{5}{4} )[/tex]
3. Simplify
[tex]x=25[/tex]
BRAINLIEST help pls,,,,,,,,,,,,,
Answers
1/3 = ?/12
If we observe denominator , it is multiplied by 4
So we must multiple numerator by 4 too
=> 1/3 x 4/4 = 4/12
? = 12.
6. Which value of x makes the equation below true?
5x - 3 = 11 A. 1.6 B. 2.8 C. 40
D. 70
Answers
Answer:
It's B
Step-by-step explanation:
2 times 5 = 10
0.8 times 5=4
10 + 4 =14
14-3=11
???????????????????????????????????????????????????????????????????????????????????
Answers
Answer:
607.75 cm3
Step-by-step explanation:
v = L*w*h
8.5 * 5.5 * 13 = 607.75
607.75 cm3
Answer:
V= 8.5(5.5)(13)
V = 607.75 cubic inches
Step-by-step explanation:
Volume of a right rectangular prism is V=lwh where l is length, w is width, and h is height.
Choose all the fractions that are equivalent to 6/9.
Answers
Since 2 x 3 is six
And 3x3 is 9
It’s because 2x3 is 6 and 3x3 = 9
total = 6/9
hope this helps
ASAP HELP PLEASE ITS HOMEWORK
Answers
Answer:
[tex]=132[/tex]
Step-by-step explanation:
[tex]A=2AB+(a+b+c)h[/tex]
[tex]AB=\sqrt{s(s-1)(s-b)(s-c)}[/tex]
[tex]s=\frac{a+b+c}{s}[/tex]
Now we have to solve for A:
[tex]A=ah+bh+ch+\frac{1}{2}\sqrt{-a^{4}+2(ab)^2+2(ac)-B^4(bc)^2-c^4[/tex]
[tex]4*10+3*10+5*10+\frac{1}{2}*\sqrt{-4^4+2*(4*3)^2*(4*5)^2-3^4+2*(3*5)^2-5^4}[/tex][tex]=132[/tex]
How far off the ground is the top of the ladder? Round your answer to the nearest tenth
Answers
10.2 m - the second option
Root 11^2 - 4^2 = 10.2469...
Hope this helps!
Answer:
10.2 m - the second option
Root 11^2 - 4^2 = 10.2469...
Step-by-step explanation:
Hey there! BRAINLIEST! Lol, because I have no life whatsoever, but um if your on this question. Thank you. Please help me out! I appreciate you! We need more people in this world like youu!
Answers
Answer:
LCD=5 Final answer= 5/5 -> 5/1 -> to 5
Step-by-step explanation:
First, find the LCD(least common denominator) which is 5. This is done listing the multiples of each number in this case the lowest number is 5.
3/5 will stay the same but for 1/10 you need to convert it to the fraction 2/5 Next add the fractions together to get 3/5 + 2/5 = 5/5 of 5/1 or just 5
Answer:
LCD=5 Final answer= 5/5 -> 5/1 -> to 5
Step-by-step explanation:
A company makes wax candles in the shape of a rectangular prism. Each candle is 7 inches long, 2 inches wide, and 9 inches tall. How much wax will they need to make 378 candles?
Answers
Answer:
find the area and then rhe premiter
Step-by-step explanation:
7+7+2+2=18÷378
First you want to find the area of the candle. Which you multiply base (2) times width (7) times hight (9)
2•7•9=126
Now that the area is found of one singular candle, to find out how much wax you would need for 378 candles all you have to do is multiply 126 by 378
126(378)= 47,628
47,628 cubic inches of wax is the answer.