What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2
Step-by-step explanation:
With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.
The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:
tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem
As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:
Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2
=> Shexagon=6×62√3=216
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 5√y^2
B: 1/√y^5
C: 10√y
D: 1/10√y
Answer:
[tex]=\sqrt[10]{y}[/tex]
So option c is the correct answer
Step-by-step explanation:
[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]
someone please help! (listing BRAINLIST and giving points) :)
I hope this is help full to you
Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she
Answer:
A is the closest
Based on the areas of the squares, determine whether the triangle shown is a right triangle.
The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given her: Three squares whose sides form one Pythagoreans of a triangle .
Now a²=58
b²=10
b=√10
c²=64
c=8
Clearly √10<√58<8
Thus c must be the hypotenuse of the triangle.
Using Pythagoras' theorem we get
√10²+√58²=68≠64
Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
What is the remainder of 26 divided by 53.3
WILL GIVE BRAINLIEST
Answer:
0.48780487804
The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.
Answer:
0.36
Step-by-step explanation:
Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .
The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .
72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .
Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36
& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600
Write an equation for the lowest-degree polynomial function, with the graph and intercepts shown in the figure. For this exercise, make the leading coefficient be 1 or -1
Answer:
f(x) = (x+1)² - 9
Step-by-step explanation:
We can start by seeing if this is a quadratic function, as that is the lowest degree polynomial possible.
The vertex form for a quadratic function is a(x-h)² + k, with the vertex being (h, k).
In this example, the leading coefficient (a) must be 1 or -1. If a is positive, the graph opens upward, and vice versa. Since the graph opens upward, a must be 1.
Our vertex in this picture is (-1, -9). We can plug those values in, along with a=1, to get
1(x-(-1))² - 9 = (x+1)² - 9
Therefore, our equation is f(x) = (x+1)² - 9
The polynomial is given by:
[tex]p(x) = x^2 + 2x - 8[/tex]
------------------------
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
------------------------
The polynomial has two x-intercepts, thus, the lowest-degree is 2.Concave up, thus, the leading coefficient is [tex]a = 1[/tex].The x-intercepts are [tex]x_1 = -4, x_2 = 2[/tex], and thus:[tex]p(x) = (x - (-4))(x - 2) = (x + 4)(x - 2) = x^2 + 4x - 2x - 8 = x^2 + 2x - 8[/tex]
A similar problem is given at https://brainly.com/question/22817243
A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground
What is the answer?
Please help
Answer:
100*
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles
x = 60+40
x = 100
A dictionary has 88,728 words. Out of that Mohan read 35,427 words. How many words are left for him to read?
[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]
Total number of words in the dictionary = 88,728 words
No. of words that Mohan read = 35,427 words
[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]
No. of words left for Mohan to read.
[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]
[tex]\sf\purple{53,301 \:words. }[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read
= ( 88, 728 - 35, 427 ) words
= 53,301 words
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
example of expressions to represent length and width
Answer:
lxwxh
Step-by-step explanation:
Length x width x height
Solve the system.
2x + y = 3 −2y = 14 − 6x
Answer:
(x , y ) = (39/22 , -2/11 )
.............
Answer:
-2,3 3,-7
Step-by-step explanation:
took test :)
what is the solution of the equation 3x=12 round your answer to the nearest ten thousandth
Answer:
2.2916
Step-by-step explanation:
Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
answer is no. a -1/8 for sure
PLEASE HELP ASAP PLSSSSS !!!!!!!
Answer:
27°
Step-by-step explanation:
angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )
angle A +90 + 63 =180
angle A +153 = 180
angle A =180 - 153
angle A =27 degree
Answer:
<A=27°
Step-by-step explanation:
D=63°
B= 90°
Angles in a triangle adds up to 180°
Therefore A= 180- (63+90)
=180 - 153
=27
Find the perimeter of this problem
Answer:
below
Step-by-step explanation:
perimeter of a semicircle
½ * 2πr
=πr
= 3.142*27
=84.78cm
Need help before 7:00
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year
Answer:
Hope you find it helpful
A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?
Answer:
About 39,402.
Step-by-step explanation:
You need to find the 46% of black cars.
Which of the following shows the numbers in the box below listed in increasing order?
(A) -2, 3/7, 1/2, 1.2
(B) -2, 1/2, 3/7, 1.2
(C) 3/7, 1/2, 1.2, -2
(D) 1/2, 3/7, 1.2, -2
9514 1404 393
Answer:
(A) -2, 3/7, 1/2, 1.2
Step-by-step explanation:
The numbers are in increasing order when they are listed left-to-right as they appear on the number line.
The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.
The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.
The correct ordering is found in choice A.
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answer:
C. G(x) = (x+3)^3
Step-by-step explanation:
Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.
tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto
Answer:
1. f(x) = x² - 1 is an even function.
It has two-to-one relationship since f(-x) = f(x)
The answer is no
2. f(x) = x², same as above, the answer is no
3. The function f(x) = x³ is an odd function and its inverse is:
f(x) = ∛x, which is also an odd functionBoth have one-to-one and onto relationship
The answer is yes
URGENT!!!
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)they have 20 dollar's in total
b)she is left with -12 dollar's
Explanation
total money = 5 + 7 + 8
= 20
Money Dalila had = 7 dollars
Money she spent = 12 dollars
money she is left with = 7 - 12 dollars
= -5 dollars
Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation
Answer:
There are two major methods of forecasting
One is the Causal method and the 2nd one is the times series method
Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.
Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.
Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation
Under the translation (X +3, y - 1) the point (3,4) will become (0.5)
True or False
9514 1404 393
Answer:
False
Step-by-step explanation:
Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.
_____
Additional comment
The point (0, 5) would be translated to (3, 4). That is not what the question is asking.
1. The cardboard costs 0.002 cents per square mm but glue for each box is also 1 cent per box
2. The plastic costs 0.003 cents per square mm. No glue is necessary. It’s sealed by heat.
Which packaging costs less money?
Which of these expressions is equal to 2(43 - p)?
A.
(2 - 43) × (2 - p)
B.
(2 - 43) - (2 - p)
C.
(2 × 43) - (2 × p)
D.
(2 × 43) × (2 × p)
Answer:
C. (2×43) - (2×p)
Step-by-step explanation:
The question is 2(43-p)
Which means 2 is multiplying the bracket.
So the answer to the question is 2×43 - 2×p
Which will give us 86 - 2p
So you then solve all the possible answers to see if it the same answer as the one we got
is equivalent to 16 Superscript three-fourths?
I can help you in the comments section. Can you rephrase this question?
Answer:B
Step-by-step explanation:
I can’t figure it out!! Please help me!
Answer:
height = 8 cm
Step-by-step explanation:
formula to find area of a parallelogram =
base x height
so
10 x height = 80 cm square.
height = 80/10
=8 cm