Answers
Answer:
[tex]162\sqrt{3}[/tex]
Step-by-step explanation:
The equation for finding the area of a hexagon with a side length is
[tex](s^23\sqrt{3} )/2[/tex]
insert [tex]6\sqrt{3}[/tex]
and you are left with 162\sqrt{3}
Hope that helps :)
Answer:
[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]
Step-by-step explanation:
we are given a side a polygon
and said to figure out the area
recall the formula of regular polygon
[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]
where a represents the length of a side
and n represents the number of sides
the given shape has 6 sides
and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]
so our n is 6 and a is 6√3
substitute the value of n and a:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]
[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]
simplify square:
[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]
[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]
simplify multiplication:
[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]
recall unit circle:
[tex] \displaystyle \: 162 \sqrt{3} [/tex]
hence, our answer is E
Related Questions
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answers
Answer:
The mean is 30
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 51. Find x.
Answers
Answer:
x = 11
Step-by-step explanation:
x + 2(2x-2) = 51
x + 4x - 4 = 51
5x - 4 = 51
5x = 55
x = 11
Answer:
x = 11
Step-by-step explanation:
2x - 2 + 2x - 2 + x = 51
5x - 4 = 51
5x = 55
x = 11
If p=9 and q=30, evaluate the following expression:p−q/3
Answers
Answer:
-1
Step-by-step explanation:
p = 9
q = 30
p - q/3
9 - 30/3
9 - 10
-1
Vertical lines have _________ slope.
Answers
The line would be going straight but unmoving
Slope = rate of change
Vertical lines have undefined slope
Please help.
Is algebra.
Answers
Answer:
B
Step-by-step explanation:
The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b
The second problem is ordered as 4 3 1 2
The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.
Answer:
Step-by-step explanation:
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answers
Answer:
B
Step-by-step explanation:
B is correct...
what power do I need to raise both sides of the following equation to? x^4=81
Answers
Answer:
Rise it to 2
( x ^2 ) ^2 − 9 ^2 = 0
Step-by-step explanation:
Thank you to anyone who answers .
Answers
Answer:
last one
Step-by-step explanation:
hey can you help me fast!!
Answers
Answer:
-10 / -2/5
Step-by-step explanation:
-10 / -2/5 = 25
25 is greater than 10
30 POINTSSSS ANSWER CORRECTLY THE LAST GUY TROLLED :/
Answers
Answer:
1.
A: Rectangular prism
B: Square pyramid
C: Triangular prism
2.
A: 82 square units
B: 48 square units
C: 48 square units (again)
Somehow Nets B & C have the same surface area.
Step-by-step explanation:
2A:
2(6 * 5) + 2(5) + 2(6)
2(30) + 10 + 12
60 + 22
82 square units
2B:
4((4 * 4)/2) + (4 * 4)
4(16/2) + 16
4(8) + 16
32 + 16
48 square units
2C:
2((3 * 4)/2) + (3 * 3) + (3 * 4) + (3 * 5)
2(12/2) + 9 + 12 + 15
12 + 9 + 27
12 + 36
48 square units
Which expression is equivalent to2(t-4)+1
Answers
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
2t -8+1
2t - 7
Find the area of the following shapes.
Answers
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps?
Answers
Answer: $5.52
Step-by-step explanation:
Given: Sam paid $8.28 for 18 stamps.
Thus, the cost of 18 stamps = $8.28
Then the cost of 1 stamp=
Thus, the cost of 1 stamp=$0.46
With the same rate , the cost of 12 stamps=
Therefore, the cost of 12 stamps= $5.52
hence, it costs $5.52 to Sam to buy 12 stamps.
8.28÷18 = 0.46
0.46 is the cost if 1 stamp
cost of 12 stamps= 0.46×12 = $5.52
happy to help :)
square root of 729 using repeated subtraction method. I need detailed steps
Answers
Answer:
√729=√27*27=√27^2=27
George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.
Answers
Answer:
$13,577.22
Step-by-step explanation:
Multiply 18,500 by 0.94 for each year
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answers
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive
Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.
Answers
Answer:
she will make 32 burger patties.
One way:
8 x 4 = 32
the fraction will get reversed so it turns to 4.
Second way(basically the same as the first way):
8 divided by 1/4 = 8 x 4= 32
You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.
Answer:
ok the answer is...
Step-by-step explanation:
32!!
the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!
so do that again all over again 8 times and you have your answer.
Solve the equation: 5.4 -7.5 -6.3 = Solve the equation:
Answers
The answer would be -8.4.
Answer:
[tex]5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4[/tex]
WILL GIVE BRAINLIEST
Answers
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answers
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 82%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?
Answers
Answer: $628
Step-by-step explanation:
Find x and y
Show all the work
Answers
Answer:
x=27°
y=4 units
Step-by-step explanation:
To find x:
The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.
Using this information, set up an equation.
127+127+(2x-1)+(2x-1)=360
You can just divide both sides by 2 to get:
127+(2x-1)=180
Then, just solve for x.
127+2x-1=180
2x+126=180
2x=54
x=27°
To find y:
All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.
So SV=VU=UT=TS
SV=6y-5
VU=3y+7
Since SV=VU:
6y-5=3y+7
Solve for y.
3y=12
y=4
Hope I could help!
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Answers
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (as necessary).
Sin X: Fraction_______ Decimal_______
Cos X: Fraction_______ Decimal______
Tan X: Fraction__________ Decimal______
Answers
Step-by-step explanation:
by using Pythagoras law
ZY=√{45²-27²)=36
sin X=ZY/XY=36/45=0.8
Cos X=XZ/XY=27/45=0.6
Tan X= YZ/XZ=36/27=1.33
Find the area of the smaller sector.
brainlest
Answers
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
i have no idea what to do, someone pleasehelp.. please just give the straight forward equation and answer. thank you, 33 points to whoever does it
Answers
Answer:
Coordinates (1,6)
Equation x=1
Step-by-step explanation:
Center of highest point is 1 on the x and 6 on the y
The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.
Answers
Answer:
24/5 or 4 and 4/5
Step-by-step explanation:
3 and 3/4=15/4
18 divided by 15/4=4 and 4/5
4 and 4/5=24/5
24/5 times 15/4=18
Answer:
I agree with the person above but I'm not so sure.
Can someone help me on this plzzz
Answers
Answer:
b=15
How I got it:
32 + (7x4) = 32 + 28 = 60
60 divided by 4 = 15
Checking:
15 - 7 = 8
8 x 4 = 32
32 = 32
You can tell b = 15 is the correct answer.
what is the equivalent ratio for 3:4
Answers
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.
Answers
Answer:
area: 1070
perimeter: 434 units
Step-by-step explanation:
area:
- use pythagoream theorem to find the height, which is gonna be 84
- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)
- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)
perimeter:
just add all the lengths given together.