The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
Answers
Answer:
Radius - 4
Apothem - 2
Area - [tex]12\sqrt{3}[/tex] or 20.8
Step-by-step explanation:
Try to draw out my explanation so you know what this looks like.
~~~~
This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...
[tex]12\sqrt{3} \div3 = 4\sqrt{3}[/tex]
Now that we know the side lengths, we can get this started!
~~~~
Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.
4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.
[tex]Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6[/tex]
By the way, the formula for the area can be either of the two:
[tex]A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS[/tex]
we can easily find the area using the first formula.
[tex]A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}[/tex]
The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...
So we can divide the big triangle into a mini triangle at the bottom left/right
The height (small leg) of that triangle would be the apothem
The hypotenuse of that triangle would be the radius.
I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius
Happy April Fool's btw, lol.
Related Questions
What's the slope for (9,6)and (5,4)
Answers
Answer:
1/2
Step-by-step explanation:
Use the slope formula.
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
4-6/5-9 = -2/-4 = 1/2
Pls help find area and perimeter for #1 I have limited time I put out another one but forgot to change the points so 65 points and BRAINLIEST if I figure out how to give it :)
Answers
Answer:
The first one perimeter is 111
Step-by-step explanation:
How to find the perimeter is too add all the numbers you see
Brainly for the correct answer!
Is [tex]\frac{1}{0}[/tex] a real fraction?
Answers
Answer:
No
Step-by-step explanation:
There is no numerator, no denominator, no division symbol because it is not a legal fraction. The denominator can never be zero in any fraction.
Please help me out. I will be picking the brainiest Answer!!!
Answers
Answer:
72 M
Step-by-step explanation:
You have to multiply 12 by 6,and to make it easier,you can draw a multiplication chart type thing,where once you drew all of the lines,it would make squares.Count all the squares and that's your answer.
Please help, Math test question !
The answer to a dividing question is 6/8, write a question for the answer.
Answers
Answer:
Mat has 6 cookies. He divides them among his 8 friends. How many cookies does each person get?
Step-by-step explanation:
You divide 6 by 8..?
6c^2+2c^4−c in Standard form
Answers
Answer:
Step-by-step explanation:
the answer in standard form is 2c^4+6c^2-c
What is the answer to g(-9)
Answers
Answer:
-9g
Step-by-step explanation:
Move -9 to the left of g
I think this is right, sorry if it is wrong, have a great day
You find a piece of wood that is 7.24 long and your friend finds one that is 4.65cm how long would they be if you attached them?
Answers
Answer:
They would be 11.89cm long.
The total length of the two pieces of wood is 11.89cm.
When two pieces of wood are found by different people,
The total length of both pieces can be calculated by adding their respective lengths.
In this case,
One person found a piece of wood that is 7.24cm long,
While the other person found a piece that is 4.65cm long.
To determine the total length of both pieces of wood,
Simply add 7.24cm and 4.65cm together.
The sum of these two measurements is,
4.65 + 7.24 = 11.89cm.
That would be the total length of the two pieces of wood if they were attached.
Therefore, if we want to attach these two pieces of wood together, we will need a length of material that is at least 11.89cm long.
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
Please help me with this.
Answers
Answer:
105
Step-by-step explanation:
Help me please I don’t have a lot of time please.
Answers
oi can someone help me with this one ^{2}-12x-28=0
This is still pretty confusing for me
Answers
Answer:
Both answers should be -2 and 14.
Step-by-step explanation:
Using the quadratic formula:
[tex]x^{2}-12x-28=0\\\\x=\frac{-(-12)+-\sqrt{(-12)^2-4(1)(-28)} }{2(1)}\\\\x= \frac{12+-\sqrt{144+112} }{2}\\\\x= \frac{12+-\sqrt{256} }{2}\\\\x= \frac{12+-16 }{2}\\\\x=6+-8[/tex]
Therefore:
[tex]x_{1} =6+8=14\\x_{2}=6-8=-2[/tex]
Derek bought his truck for $30,000. The value has dropped by $900 each year. He determined that the value of his truck (V) can be modeled by: V = 30,000 - 900x where V is the value of the truck and x is the number of years since he bought his truck.
How much will his truck be worth 10 years after he bought it?
Answers
Answer:
$21,000
Step-by-step explanation:
hope i helped :)
20/50 divide by 85/50
Answers
Answer:
Decimal form:0.23529411764
Fraction form:
Step-by-step explanation:As a decimal fraction:
23529411764/100000000000
The Greatest Common Factor
of 23529411764 and 100000000000 is:4
Simplify the fraction:
23529411764 / 4
100000000000 / 4
Simplified:
5882352941/25000000000
Someone ols help tysm if you dk im new :D
Answers
Answer:
-35-6=-41
that's the answer
Explanation:
The spinner shown at the right is used to play a game. Develop a complete Probability Model for one spin.
Answers
Answer:
Step-by-step explanation:
Well I'd need to see it but you can figure it out on your own. If there are 5 equal spots then the chance of one landing is 1/5 or otherwise known as 20% now, it's essentially the same if the spots are even, so figure it out depending on what the number of spots is.
find the area of each parelogram
Answers
Answer:
A. 8
B. 10
C. 8
Step-by-step explanation:
If this helped brainliest would be appreciated!
Asphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply. The sphere has a radius of 4 cm. The sphere has a radius of 16 cm. On The diameter's length is twice the length of the radius The radius's length is twice the length of the diameter. The volume of the sphere is cm The volume of the sphere is.
Answers
Answer:
The sphere has a radius of 4cm
The diameter's length is twice the length of the radius
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3) in scientific notation
Answers
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
In a race 24 out of 25 cyclists finished in less than 51 minutes what percentage of cyclists finished the race in less then 51 minutes
Answers
Answer: 96%
Step-by-step explanation:
There are 25 total cyclists and 24 of those finished the race in less than 51 minutes. The question would like this 24 to be expressed as a percentage of 25.
In percentage this would be:
= Number of cyclists who finished in 51 minutes / Total number of cyclists * 100%
= 24 / 25 * 100%
= 96%
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answers
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
What is the definition of homonym?
Answers
Answer:
a group of words that share the same spelling and pronunciation but have different meanings.
Answer:
If they are pronounced the same then they are also homophones (and homonyms) – for example, bark (the sound of a dog) and bark (the skin of a tree). If they are pronounced differently then they are also heteronyms – for example, bow (the front of a ship) and bow (a ranged weapon).
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work
Answers
She needs to sell 60:
60 - 56 = 4
Katy is 4 away from selling 60.
Write a brief summary of what you know about
slope.
Answers
can someone pls help me with this and explain how to do it in a simple way I will mark you brainliest and give you a like along with 5 stars.
Answers
Answer:
3.14
Step-by-step explanation:
Radius = 1
1^2 times pi = 1 pi
1 pi is about = 3.14
Find the area: . . . . . brainliest
Answers
Answer:
792in
Step-by-step explanation:
LxW
=24x7
=168
bxb/2 x H
=24x13/2
=156x4
=624
T= 624+168
=792in
subtracted 3 form 5 , then multiply by one forth
Answers
3-5= -2
-2x.25= -0.5
Answer
3-5x1/4= 1 3/4
Step-by-step explanation:
Find the median for each set of data. Round to the nearest tenth if necessary.
34, 47, 30, 79, 68, 19, 16
A) 38. B) 26
C) 43. D) 34
Answers
Answer:
d) 34 is the median
Step-by-step explanation:
hope this helped you
2+y+y+y+y+y+3 I need multiple answers plz and thanks
Answers
Answer:
5y + 5
5(y + 1)
Step-by-step explanation:
2+y+y+y+y+y+3 = 5y + 5 = 5(y + 1)
Answer:
5(1+у)
Step-by-step explanation:
2+3+у+у+у+у+у= 5+5у=5(1+у)
HELP ASAP. (please show work) solve for x.
Answers
Answer:
x = 11
Step-by-step explanation:
a straight line = 180 degrees . 180-125=55 . 55/5 = 11
Em uma escola,estudam em tres periodos 1256 meninas e 1593 meninos. quantos alunos estudam nessa escola?
Answers
Answer:
I will answer in English.
This can be translated to:
In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?
This means that we have a total of:
(1256 + 1593) students = 2849 students, divided in 3 periods.
So the total number of students in that school is 2849
And the number of students per period is:
2849/3 = 949.7
Because we can only have whole numbers here, we can say that in each period there are around 950 students.