Answers
Answer:
A hexagon has 6 internal angles, and the sum of the interior angles is 720°
If the hexagon is regular, so all the internal angles are equal, the measure of each internal angle is:
720°/6 = 120°
Ok, now let's look at the image.
We can "craft" a triangle rectangle. such that one cathetus is the line of 4ft that we can see in the image.
The hypotenuse is the line that connects the center, with the bottom right vertex.
Half of the bottom side is the other cathetus.
Because the hypotenuse divides the vertex in exactly two halves, the bottom right angle of the triangle rectangle will be 120°/2 = 60°.
So of this triangle rectangle, we know:
one angle equal to 60°
The opposite cathetus of this angle, which measures 4 ft.
Let's find the other cathetus of the rectangle:
We can use the identity:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
In this case, we have:
Tan(60°) = 4ft/x
The value of x is:
x = 4ft/Tan(60°) = 4ft/√3
Because Tan(60°) = √3
And we know that the area of a triangle rectangle is the product of the length of each cathetus divided by two.
Then the area of our triangle rectangle is:
A = (4ft*4ft/√3)/2 = (8/√3) ft^2
And there are 12 of these right triangles inside the hexagon
Area = 12* (8/√3) ft^2 = (96/√3) ft^2
And we can write:
96 = √(96*96) = √9216
Then:
Area = √(9216/3) ft^2 = √(3072) ft^2
Related Questions
Fill in the blank with the Spanish word that best completes the following sentence.
¿Qué tiempo ________?
nieve
hace
lluvia
mal
Answers
Answer:I think it’s nieve
Step-by-step explanation:
Answer:
The answer is hace.
Step-by-step explanation:
I am doing this quiz.
Solve w = x + for y.
Reply really fast and give like the work for it too please
Answers
Answer:
see below
Step-by-step explanation:
w = x+y/z
Subtract x from each side
w-x = x+y/z -x
w-x = y/z
Multiply each side by z
(w-x) *z = y/z*z
(w-x) *z = y
You can distribute the z if desired
wz -xz = y
Answer:
y = z(w - x)
Step-by-step explanation:
w = x + y/z
Subtract x from both sides
w - x = y/z
Multiply both sides by z
z(w - x) = y
Flip
y = z(w - x)
Use trigonometry to determine the m>DEC to the nearest degree
Answers
Answer:
m∠DEC = 50° to the nearest degree
Step-by-step explanation:
cos D = adjacent side/hypotenuse
= 36/56
m∠DEC = arccos (36/56) =50° to the nearest degree
If 10 litres of petrol cost 17.10$, calculate the cost of 4 litres of petrol?
Answers
Answer:
It will cost $6.84 for 4 litres of petrol
Step-by-step explanation:
$17.10÷10=$1.71.
$1.71×4=$6.84
which does NOT represent a function? ill give brainliest
Answers
Answer:
C
Step-by-step explanation:
C is not a function because 5 has two y values
Answer:
Option C is NOT a function.
Step-by-step explanation:
For these functions we will use subtraction as our example. With option A the pattern is: -8, -7, -6, -5. Therefore option A is a function. With option C the pattern is: 3, 3, 3, 2. Therefore this is not a function. With option B the pattern is 0, 0, 0, 0. Therefore this is a function. With option D the pattern is: -6, -2, 2, 6. Therefore this is a function.
This question can be done multiple ways, but this is just one of them.
Select the correct answer.
Which function is represented by this graph?
A.
f(x) = |x + 7| − 3
B.
f(x) = |x − 7| − 3
C.
f(x) = |x + 3| − 7
D.
f(x) = |x − 3| − 7
Answers
Answer:
The answer is B
Step-by-step explanation:
The function is represented by the given graph is f(x)=|x-7|-3. Therefore, option B is the correct answer.
What is a absolute value equation?To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.
From the given graph, the vertex is (7, -3).
x-intercept(s): (10,0),(4,0)
y-intercept(s): (0,4)
We know that, general form of the absolute equation is f(x)=a|x-h|+k.
Here, equation is f(x)=|x-7|-3
Therefore, option B is the correct answer.
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The radius of the pizza is 15 cm long.
What is the circumference of the pizza?
Express your answer in terms of pi
Answers
Answer:
30π cm
30pi cm
Step-by-step explanation:
c = 2πr
c = 2π(15)
c = 30π
Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.
Answers
Answer:
A maximum of 4 days
Step-by-step explanation:
Inequality: 95 + 11.50x ≤ 150
Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.
95 + 11.50x ≤ 150
-95 -95
11.50x ≤ 55
/11.50 /11.50
X=4.78260869565
You would round down since he has a budget.
George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so that the image of the window is 12 foot tall and 14 foot wide. What is the ratio of the area of window to the area of the image of the window?
Answers
Answer:
A':A = 1742:7
Step-by-step explanation:
Applying,
A' = L'W'............... Equation 1
Where A' = Area of the window, L' = Length of the window, W' = Width of the window.
From the question,
Given: L' = 312 ft, W' = 134 ft
A' = (312×134)
A' = 41808 ft²
Similarly,
A = LW.................. Equation 2
Where A = Area of the image of the window, L and W is thw length and width of the image of the window
Given: L = 12 ft, W = 14 ft
Therefore,
A = 12×14
A = 168 ft²
Therefore the ratio of A' to A = 41808:168 = 1742:7
A':A = 1742:7
y=3(1.5)^x
Fill in the y part of the table then please give me the exponential equation, thank you!
Answers
Answer:
x=-1 y=2, x=0 y=3, x=1 y=4.5, x=2 y=6.75, x=3 y=10.125
Step-by-step explanation:
I used a graphing calculator.
Hope this helps:)
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)^2 – 64
lesser x =
greater x =
Answers
Answer:
6 & -10
Step-by-step explanation:
Given :
f(x) = (x+2)² - 64And we need to find the Zeroes of the given function .For that equate the polynomial with 0 , we have ,
[tex]:\implies[/tex] f(x) = 0
[tex]:\implies[/tex] ( x + 2 )² - 64 = 0
[tex]:\implies[/tex] ( x + 2)² = 64
[tex]:\implies[/tex] ( x + 2 ) = √64
[tex]:\implies[/tex] ( x + 2) = ± 8
[tex]:\implies[/tex] x = -2 ±8
[tex]:\implies[/tex] x = -10 , 6
Hence the value of 6 and -10 .
If the area of a square is 121 cm^2, what is its side length?
I
Answers
Step-by-step explanation:
Area of a square=121 cm^2
l^2=121 cm^2
l=√121cm^2
l=11 cm
find the volume of this cylinder
Answers
Answer:
25² · 40 π in.³
Step-by-step explanation:
V = πr²h
π · 25² · 40
≈ 78539.81634
Since your question wants it in a different way, you have to know the formula.
V = πr²h
V = r² · h π in³
v = 25² · 40 π in³
Rectangle ABCD, A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5), B(7,5), C(7,-1) and D(5,-1). Given these coordinates, what is the length of side BC of this rectangle?
Answers
Answer:
I think the answer is 5
BC=5
Step-by-step explanation:
Someone help me with this pls
Answers
answer:
=y^(-4+3)
=y^ (-1)
Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans.
How much more did Jacques pay for his vanilla beans?
Answers
Answer:
The Correct option is 36.60
Step-by-step explanation:
The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.
1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg
70 grams=0.07 kg
Julie pays=$600*0.009=$5.4
Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-$5.4) than Julie paid
Option is wrong because that was what Julie paid
Option D is wrong because that was what Jacques paid
Option B is obviously wrong
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1800 hours and a standard deviation of 25 hours. Using the empirical rule, what percentage of light bulbs last between 1725 hours and 1875 hours?
Answers
Answer:
99.7%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Step 1
We have to find the number of standard deviations from the mean
μ = Mean = 1800 hours
σ = Standard deviation = 25 hours
For 1725 hours
μ - xσ =
1800 - 25x = 1725
25x = 1800 - 1725
25x = 75
x = 75/25
x = 3
For 1875 hours
1800 + 25x = 1875
25x = 1875 - 180
25x = 75
x = 75/25
x = 3
Step 2
From the above calculation, the bum of standard deviations from the mean is 3
Hence, the percentage of light bulbs last between 1725 hours and 1875 hours is 99.7%
Select the correct answer from each drop-down menu.
How many solutions does each polynomial have?
Equation Number of
Solutions
Select the correct answer from each drop-down menu. How many solutions does each polynomial have? Equation Number of Solutions
Answers
Answer:1,3,and 5
Step-by-step explanation:
At a yard sale, Enzo sees a sign that advertises "0.05 cents per used book." Using the advertised price, determine the cost of 40 used books. pls answer.........................,...........................................
Answers
Answer: The answer would be “$2.”
Step-by-step explanation: To find this answer you would take the amount per book which is 0.05 cents per used book. And then multiply it by how many books you are buying which is 40. So when you multiply 40 by 0.05 you get “$2 for 40 used books.”
Have a nice day!
Solve for x in the parallelogram.*
No links
Answers
Answer:
D
Step-by-step explanation:
is D Thank so much ,
bye hahahahah
PLS HELPPPP
will mark brainliest:))
Answers
f(x)=-2x^2-4x+6 in factored form
Answers
Answer:
= (X-1) (-2X- 6)
Step-by-step explanation:
Hiii dont mind the answer that i put but im not sure if im right, can someone please help me?
Answers
Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
In a bag of balls, 3 are yellow, 4 are blue, 6 are green, and 2 are red. Kay
picks 30 balls from the bag, replacing the ball into the bag each time. How
many times would you expect a green ball to be picked?
Answers
Answer:
12 marbles
Step-by-step explanation:
First, add the marbles together.
3 + 4 + 6 + 2 = 15
Then, put the 6 in the numerator.
6/15
Next, multiply by 2 to make the denominator 30.
12/30
Kay should expect 12 out of her 30 marbles to be green
Have a wonderful day! :)
Women make up 52 percent of the voting-age population and are more likely to vote, yet a. a woman has never been elected to the U.S. Senate. b. men dominate the political arena. c. women dominate the political arena. d. a woman has never been elected governor of a U.S. state. Please select the best answer from the choices provided A B C D
Answers
Answer:
b. "men dominate the political arena".
Step-by-step explanation:
Edgeńuity says - B. "men dominate the political arena".
I got a 100% on the test
Quadrilateral RUST has a vertex at R (1,5)What are the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3, centered at the origin?
Answers
Answer:
C
Step-by-step explanation:
A P E X
(6, 9) is the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3,
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Quadrilateral RUST has a vertex at R (1,5)
We have to find the coordinates of R after the translation (x,y) of (x+ 1, y - 2)
(1, 5)-->(1+1, 5-2)
Coordinates after translation are (2, 3)
Now by a dilation by a scale factor of 3, centered at the origin
so R'(6, 9)
Hence, (6, 9) are the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3,
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What Is the median for 2,0,1,0,4,3,1,0,7
Answers
Answer:
1
Step-by-step explanation:
Have a good day :)
Answer:
Step-by-step explanation:
the median is 1
what is the measure, in degrees, of ACB?
Answers
Answer:
121º
Step-by-step explanation:
180 - 59 = 121
The first three terms of a sequence are given. Round to the nearest
thousandth (if necessary).
309, 303, 297, ...
Find the 33rd term.
Answers
Answer:
117
u welcome
Step-by-step explanation:
Please answer this math question for me
Answers
Answer:
Hello! answer: b = 135 and c = 45
This will ultimately add up to 360 so 45 + 45 + 135 + 135 = 360 Hope that helps!