==============================================
Explanation:
Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.
The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.
area of triangle = (1/2)*base*height
area of triangle = 0.5*(hexagon side length)*(apothem)
area of triangle = 0.5*19*16.5
area of triangle = 156.75
This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches
The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)
Apothem:Apothem is a perpendicular line from the center of the regular polygon to one of its sides.
Area of Regular polygon with apothem:Area = 1/2 x (length of apothem) x (perimeter of hexagon)
• Given,
apothem = 16.5 inches and length of a side =19 inches
• Perimeter = 6 x (side of a hexagon)
= 6 x (19)
= 114 inches
• Hence,
Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)
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A dance studio charges $12 per dance class. The studio is offering a 15% discount if you pay a set of 5 classes now. How much does it cost to buy 5 classes with this offer?
Answer:
The cost might be or would be$53.00
Help plz, thx urgent
Answers:
5. Quadrilateral
6. Rhombus
7. Rectangle
8. Parallelogram
=============================
Explanations:
5. We don't know much about this other than it has 4 sides, so we simply say it is a quadrilateral. Quad = 4, lateral = side
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6. The four sides are the same length as shown by the similar tickmarks. Therefore we have a rhombus. A rhombus is any quadrilateral with four equal sides. A square is a special type of rhombus, though in this case it appears to be a non-square type of rhombus, as the angles are not 90 degrees.
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7. A rectangle has 4 angles that are all 90 degrees. Visually the tiny little square angle marker tells the reader we have a 90 degree angle.
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8. We have a parallelogram here because the opposite sides are the same length. In addition, the opposite angles are the same measure. Through using the SSS congruence rule, we can do a bit of work to show that the alternate interior angles are congruent, leading to the opposite sides being parallel. So in short, the given info here is enough to prove we have opposite sides being parallel which is what makes a parallelogram possible.
Any help will be nice...Dont answer for points >:( Correct equations for vertical line (7.5pt) Correct equations for horizontal lines (7.5pt) 1. In many cities and towns across the United States, the numbering system of the roads is based on a grid, similar to the latitude and longitude lines on a globe. Suppose the green lines in the following graph represent two east-west and two north-south running roads in a Midwestern town.
Answer:
See below.
Step-by-step explanation:
Horizontal lines have the equation:
[tex]y=n[/tex]
Where n is the value the horizontal line stays on.
Vertical lines have the equation:
[tex]x=n[/tex]
Where n is the value the vertical line stays on.
For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:
[tex]x=-5 \text{ and } x=8[/tex]
For the two east-west lines, one of them stays on -7 and the other stays on 4.
Therefore, the two horizontal line equations are:
[tex]y=-7 \text{ and } y=4[/tex]
Part 1: Serena's drawing
Follow these steps to find the angles of the trapezoids in Serena's drawing. If the angles of her
trapezoid match the angles of the trapezoid stone, then her drawing is correct.
Answer:
BCDE= 100+ 80+100+80 = 360 degree
BAC = 20 degree
DBC = 100 degree
BDE = 80 degree
Shows all is correct
We associate isosceles trapezoid in this question, this helps us prove with angle A in the triangle vertices how we can find one of the adjacent angles from the trapezoid by subtraction when all angles within one single trapezoid = 360 degrees. We can use 20 degree angle A to subtract and find each alternative angle easier.
Step-by-step explanation:
The semi circle shows 9 stones
Where angles are interior to the trapezoid
Where all 4 sided shapes add up to 360 degree
We draw a line of symmetry on BCED angle
To make midway points BC and DE = 90 degree
The two new formed shapes are still 4 sided and add up to 360 degree.
BC + DE = 180 degree
BDE = Triangle 180 -20/2 = 160/2 = 80
BCDE = Trapezoid = 360
Trapezoid angle DBC = 360-80-80/2 = 360-160/2 = 200/2 = 100 degree
Finding interior angle A (BAC)
BAC = 180/9 = 20 degree
BAC * (2) = 360 degree circle
BAC = 360/18 = 20 degree
Proves BAC = 20 degree
20 degree is used in BAC workings above in bold and proves all trapezoid angles are correct. We now know this is an isosceles trapezoid and that is why symmetry and midway points can help us find the angles without any given length.
Suppose that the values of x, y, and z are given by x=2/3 y=5/7 z= -11/3 What is xy/z
Answer:
The answer is -10/77 .
Step-by-step explanation:
In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :
[tex] \frac{xy}{z} = xy \div z[/tex]
[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]
[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]
[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]
[tex] = - \frac{10}{77} [/tex]
Find the lateral area of the following cone.
Leave your answer in terms of pi
Answer:
The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.
The formula to find slant height is l = √(h²+r²) where h represents height.
The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.
Given,
The height is 12 cm and the radius is 5 cm.
We are to find the lateral surface area of a cone.
What is the lateral surface area of a cone?The lateral surface area of a cone:
A = [tex]\pi[/tex] x r x l
where r = radius and l = slant height.
The slant height:
l = √(h²+r²) where h =height.
We have,
h = 12 cm and r = 5 cm
l =√(h²+r²)
l = √(12^2 + 5^2)
l = √(144 + 25)
l = √169
l = 13 cm
Now,
l = 13 cm and r = 5 cm
A = [tex]\pi[/tex] x r x l
A = [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm
Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.
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What is the volume of the right triangular prism shown?
Answer:
C. 567yd^3
Step-by-step explanation:
To find the volume of the right triangular prism, it is: 1/2a c h.
In this case, 1/2✖️9✖️6✖️21=567yd^3
So this means that option C is the correct answer.
Hope this helps!
Have a nice day:)
Answer:
567 cu. yard
Step-by-step explanation:
will make it simple and short.
Vol = area of a triangle x length
Vol = (1/2 * 6 * 9 ) * 21
Vol = 567 cu. yard
Determine whether each equation is an identity or whether it has no solution.-3(2x+1)=2(-3x-1) help is this a no solution or infinite
Answer:
No solution.
Step-by-step explanation:
Distribute.
-3(2x + 1) = 2(-3x - 1)
-6x - 3 = -6x - 2
Combine like terms.
-6x - 3 = -6x - 2 add 3 to both sides
-6x = -6x + 1 add 6x to both sides
0 = 1 this is false.
Because we ended up with a false equation, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
Perform the indicated multiplication, using the distributive property.
-3(2x+1)=2(-3x-1) becomes -6x - 3 = -6x - 2
This has no solution because -3 is never equal to -2.
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was
released. The average rate of change in Td) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day.
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.
Given,
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The Average rate of change in T(d) for the interval d = 4 and d = 10 is 0.
We have to find which statement is true.
Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.
Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.
Thus The correct option is A.
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If [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{4}[/tex], [tex]\frac{y}{z}[/tex] = [tex]\frac{2}{3}[/tex], [tex]\frac{z}{w}[/tex] = [tex]\frac{5}{8}[/tex], what is the value of [tex]\frac{x+y+w}{w}[/tex]?
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
25%
Step-by-step explanation:
The ratio of rise to run is ...
rise/run = 6 ft/24 ft = 1/4
Expressed as a percentage, this is ...
1/4 × 100% = 25%
_____
Comment on this grade
Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.
Order matters in a combination.
True
False
Answer:
False
Step-by-step explanation:
So, in Mathematics we use more precise language: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.
Which is a Qualitative graph?
Answer:
No qualitative graph shown here.
Step-by-step explanation:
No qualititative graph is shown here. The given graph is quantitative, as it involves numerical measures.
Answer:
qualitative graph are graph that are used to represent situation that do not necessarily have numerial value it repressent the essential elements of a situation in a graphical form
A diver dives 17 2/3 yards and then comes back to the surface. Then, she dives 9 3/8 yards deeper than her first dive. What is her depth, in yards, in relation to the surface of the water?
(giving the points this website is allowed to give me)
The total depth covered by the diver is 27(1/24) yards.
What is yard?Yard is a unit to measure length. 1 yard is equal to 36 inches.
1 yard= 3 feet or (0.9144 meter)
What is
Given that,
First time depth reached by diver = 17(2/3) yards
In the second time, the depth reached by the diver is 9(3/8) yards more than the first time,
To find total depth,
Add depth covered by first time and second time,
Total depth = 17(2/3)+9(3/8)
=53/3+75/8
= 27(1/24)
The total depth covered by the diver is 27(1/24) yards.
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Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.
How many envelopes does Jane address in a
day?
Jane addresses twice as many envelopes
as Louis in the same amount of time.
Together, they address 450 envelopes
each day.
Answer:
2x+X=450
3x=450
X=450/3
X=150
so
2x=2*150=300
X=150
so, Jane addressed 300 envelopes while Louis addressed only 150
Answer:
Jane addressed 300 envelopes while Louis addressed 150
Step-by-step explanation: Let x represent Louis's amount and 2x is Jane's amount
x+2x= 450 combine 3x =450
Divide both sides by 3.
x/3 = 450/3 x= 150. 2x = 300
ASAP At a store you have the option to buy a 12 pack of pop for $5 or a 8 pack for $3. Which is the better deal? 12 pack 8 pack. And can u pls explain how u got the answer
Answer:
The 8 pack is the better deal.
Step-by-step explanation:
To get the answer you do the following:
Find the price of one pack for each;
1/12*5= $0.42( cost of one pack for the 12 pack part)
1/8*3= $0.38( cost of one pack for the 8 pack part)
The answer is that the 8 pack is cheaper .
i need this quick!!! please hurry!! Solve the following proportion for X. X over 5 = 17 over 3 Round your answer to the nearest tenth.
Answer:
[tex]\huge\boxed{x = 28.3}[/tex]
Step-by-step explanation:
=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
[tex]\Huge \boxed{x=28.3}[/tex]
Step-by-step explanation:
The proportion is given,
[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]
Simplify the equation.
[tex]\displaystyle x=\frac{85}{3}[/tex]
[tex]x=28.33333333...[/tex]
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
Which correlation coefficient could represent the relationship in the scatter plot
Answer:
C
Step-by-step explanation:
C
Answer: C
I had the same question.
Also hope this helps
you move left 2 units and right 9 units. you end at (4,5). where did you start?
Answer:
You started at ( -3,5)
Step-by-step explanation:
You end at (4,5)
You got there by moving right 9 units so move left 9 units
Moving left is subtraction in the x direction
(4-9,5)
( -5,5)
Then move left 2 units so move right 2 units which is adding 2 in the x direction
( -5+2, 5)
( -3,5)
You started at ( -3,5)
Use the drawing tool(s) to form the correct answer on the provided number line.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took
out 16 plastic cups for his teammates and put the same amount of water in each cup.
Answer:
Kindly see explanation
Step-by-step explanation:
Given the following :
Amount of water in cooler = 144 ounces
Size of Will's water bottle = 16 ounces
Therefore, the amount of water left after filling his water bottle :
144 ounces - 16 ounces = 128 ounces of water.
The 128 ounces left was used to equally fill 16 plastic cups :
Therefore the number of ounces of water put in each cup equals :
(128 ounces ÷ 16 cups) = 8 ounces.
The maximum number of ounces of water will could have put in each cup is 8 ounces
Thus (0 < x ≤ 8)
See graph below
attachment help asap ill mark brainliest
Answer:
1 is not even and it is a factor of 8
Answer:
1
Step-by-step explanation:
Factors of 8
1,2,4,8
1 is an odd number
This proves that Alice is wrong :(
Hope this helps....
Have a GOOD DAY !!!
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointsthis is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day
Answer:
Hey there!
Today is August 7th, 2020.
Thus, August 20th is in 13 days.
If you have 47 assignments, you would have to do 3-4 a day to finish on time.
Hope this helps :) And good luck with your assignments.
Answer:
You have to do about 3 and a half assements a day.
Step-by-step explanation:
Just do 47 divides by 20 but since it is the 7th do 47 divides by 13
Have a nice day!
-10y^2 - 3y - (5y - 8y^2) combined like terms
Answer:
-2y(y + 4)
Step-by-step explanation:
-10y^2 - 3y - (5y - 8y^2)
= -10y^2 - 3y - 5y + 8y^2
= -2y^2 - 8y
= -2y(y + 4)
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
George is designing ledges for the octagonal ( 8 side ) gazebo. All sides are equal length, and each ledge much be 18 inches shorter then the sides.
a: what is the minimum length of wood he should purchase if the perimeter of the gazebo is 64 feet ?
b : what as your solution process
Answer:
78 inches or 174 inches (see explanation)
Step-by-step explanation:
If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!
What is the solution of the inequality shown
below?
y+7<-1
Answer:
y<-8
Step-by-step explanation:
y<-1 - 7
y<-8
Answer:
y < -8
Step-by-step explanation:
To solve an inequality, we must get the variable, y, isolated on one side of the inequality.
[tex]y+7 < -1[/tex]
7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.
[tex]y+7-7< -1-7[/tex]
[tex]y < -1-7[/tex]
[tex]y < -8[/tex]
The solution to the inequality is: y< -8
help me plz i need help
i’ll mark you brainliest, please show work!!
Answer:
width = 10
length = 2 (10) + 7 = 27
Step 1:
If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.
Step 2:
We can solve this by using this equation:
2w + 7 + w = 37
Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.
2w + w = 30
Add the w's together:
3w = 30
And then divide both sides by 3 to get:
w = 10
Step 3:
Now, we can plug in w into our equation to solve for the width and length.
width = 10
length = 2 (10) + 7 = 27
_____2w+7_____
| | w
--------------------------
In the following diagram CDFG ~ HJLK. use this information to find the value x.
Answer:
x=2.25
Step-by-step explanation:
4x=3 x 3