The budget for painting one side of the backdrop is $103222, and
the budget for the reflecting tape is $240.
It is given that the backdrop is in the hexagonal shape shown on the coordinate plane.
It is required to find the budget for painting one side of the backdrop and the budget for the reflecting tape.
What is a hexagon?It is defined as a polygon that has 6 equal sides with an interior angle of 120° and an exterior angle is 60°.
We have a hexagon shown in the picture:
Since each unit on the coordinate plane represents 5 feet.
Hence each side length of the hexagon = 20 feet
The area of the hexagon:
[tex]\rm A = \frac{3\sqrt{3} }{2}a ^2[/tex] (a = 20 feet)
[tex]\rm A = \frac{3\sqrt{3} }{2}20 ^2[/tex]
A = 1.5×1.732×400
A = 1039.2 square feets
We are assuming the painting cost for each square unit is $10.
∴Total budget for painting one side of the backdrop = 1032.2×10
= $103222
We know the perimeter of the hexagon is given by:
P = 6a
P = 6×20
P = 120 feet
Again we are assuming that each unit cost for reflecting tape is $2.
∴Total budget for the reflecting tape:
= 120×2
= $240
Thus, the budget for painting one side of the backdrop is $103222, and
the budget for the reflecting tape is $240.
Learn more about the hexagon here:
https://brainly.com/question/3295271
There is space for 120 students to go on a field trip. Currently, 74 students have signed up. Write and solve an inequality to find how many more students can sign up for the field trip.
Please help
Answer:
46
Step-by-step explanation:
[tex]120 - 74 = 46[/tex]
What is is one plussssssssss one
Answer:
2.
Step-by-step explanation:
1+1=2
Answer:
1+1=2
Step-by-step explanation:
Hope this helps :D
Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.
How many total fish is Dr. Howser planning on buying?
What will be the ratio of the number of small fish he buys to the number of large fish that he buys?
Show or explain the steps you used to solve this problem.
Enter your answers and your work or explanation in the box provided.
Answer/Step-by-step explanation:
How many total fish is Dr. Howser planning on buying?
BOTH tanks hold 120 gallons
Tank A :
3 every 10 --> 120/10 ---> 12
So multiply 3 and 12 ----> 36
36 fishes in tank A
Tank B:
6 every 40 -----> 120/40 ----> 3
So multiply 6 by 3 ----> 18
18 fishes are held in tank B
Add them together:
18 + 36 ----> 54
ANSWER : Dr. Howser is planing on purchesing 54 fish all together.
What will be the ratio of the number of small fish he buys to the number of large fish that he buys
Small ---> 36 fish
Large ---> 18 fish
Small : Large ----> 36:18
ANSWER: 36:18
if you need it siplified it would be 2:1
does 6 3/8 - 4 3/4 = 4 3/4
Answer:
no it doesnt
Step-by-step explanation:
Answer:
No it does not because it can be the same when it is less than.
me box plots below compare the heights or the gins and the boys the seventh grade at Helzor
Middle School
Boys' Heights
Gifs Heights
HEHEHE
30 40
70
Heights (inches)
which statement is true based on the information in the box plots above?
F. The boys' heights have a center height about 10 inches larger than the gets heights.
The boys' heights have a larger spread than the girls heights.
The whiskers on the box plot of the inte heights are more varied in length than the whiskers on
the box plot of the boys heights.
At least one boy and one gitare 72 inches tall
Step-by-step explanation:
Wait, what are you trying to ask?
ayuda
es para dentro de una hora._.
Answer:
5.-90+0=-90
Step-by-step explanation:
Ryan and his children went into a bakery and will buy cupcakes and donuts each cupcake cost $4.50 and each donut cost $1.75 Ryan has a total of $40 to spend on cook cupcakes and donuts right in any quality that would represent the possible values for the number of cupcakes purchased C and the number of donuts purchased d
Answer:
Step-by-step explanation:$4.50+1.75/40=6.4
In ΔQRS, q = 1.3 cm, r = 7.6 cm and s=7 cm. Find the measure of ∠Q to the nearest 10th of a degree.
Answer:
9.1
Step-by-step explanation:
63 : 21 = __ : 3
I need help pls a quick answer would be great. Thanks!
Answer:
9 : 3
Step-by-step explanation:
To get from 21 to 3 we divided 21 by 7, therefore we have to do the same to the other side and so we get...
63 / 7 = 9
Therefore 63 : 21 = 9 : 3
What is JL? (I need the work)
Answer:
A:4.5
Step-by-step explanation:
I will fail if I don’t get this done and it is so confusing. Math is just ending me right now. :(
What question do you need to get or is it all?
A roofer props a ladder against a wall so that the top of the ladder reaches a 20 foot roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is 46 degrees, what is the length of the ladder to the nearest foot?
Answer:
19.33 ft
Step-by-step explanation:
This analogy has to do with Pythagoras theorem.
We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.
Sin 46° = opp / hyp
Sin 46° = 20 / hyp
hyp = 20 / sin 46
hyp = 20 / 0.719
hyp = 27.82 ft
We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.
Cos 46° = adj / hyp
Cos 46° = adj / 27.82
adj = 27.82 * Cos 46
adj = 27.82 * 0.695
adj = 19.33 ft
Therefore, the required length is approximately equal to 19.33 ft
Guys, I need help:
Nolan is buying a season pass to a performing arts center.
One performing art center charges $100 for the pass, plus $15.00 to park each visit.
Another performing arts center charges $75 for the pass, plus $20.00 to park each visit.
How many times would Nolan need to visit the two performing arts centers for the cost to be the same?
Answer:
5 times is the answer
Tori's birthday party will cost $50 if she invites 4 guests. If there are 20 guests, how much will Tori's birthday party cost?
Answer:
$250
Step-by-step explanation:
Right now, it's colder than 80ºF outside. Which inequality represents t, the temperature outside?n have?
Answer:
t<80°
Step-by-step explanation:
if the value is less than, use <
you have 1,000,000 number cubes, each measuring one inch on a side. if you arranged the cubes on the floor to make a square what would it's dimension be
Answer: 1000 in.
Step-by-step explanation:
Given
The dimension of the small cube is [tex]1\ in.[/tex]
No of the cubes is [tex]10^6[/tex]
If the small cubes are arranged on the floor
The area of the cubes is
[tex]\Rightarrow 10^6\times 1^2\ in.^2[/tex]
Suppose the side length of a large cube is a
[tex]\therefore a^2=10^6\times 1^2\\\\\Rightarrow a=1000\ in.[/tex]
Find the length of the missing side. Leave your answer in simplest radical form.
Please help me with the math problem!!!!
Answer:
It should be S+14. :)
Step-by-step explanation:
It is because it says it rained 2 more inches each day, so you simply count by 2, 7 times to reach your answer of 14. HOPE THIS HELPS U! :}
Can i please get some help please?
I need help with B
Answer:
it b7857575757575757575757575775757575757577575757575757575757756886868686979708
Step-by-step explanation:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
8.
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2ℓ + 2w to find the length of the frame if the width is 19 inches.
A. 15 in.
B. 17 in.
C. 20 in.
D. 19 in.
Answer:
B. 17 in.
Step-by-step explanation:
2l + 2w = 72
2l + 2(19) = 72
2l + 38 = 72
2l = 34
l = 17
Hope this helps!
What is 1,000,000 x 1,000,000
Will give brainliest.
Answer: 1e+12
Step-by-step explanation:
Answer:
[tex]1000000 \times 1000000 \\ = 1000000000000[/tex]
It's 1 Million *1 Million
=1 Trillion (According to USA)
In Triangle QRS, X is the midpoint of QR, Y is the midpoint of RS, and Z is the midpoint of QS.
Also, XR = 5, YS = 7, and QS = 20.
What is the perimeter of the Triangle XYZ?
Answer:
Step-by-step explanation:
I just answered this for someone else... here is the same answer I gave them
QR + RS +SQ = perimeter
2(XR) + 2(YS) + QS = perimeter ( b/c multiplication is communicative SQ=QS)
2*5 + 2 * 7 + 20 = perimeter
10 + 14 + 20 = p
44 = p
For Tyler's lemonade recipe, 2 lemons are required to make 10 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
Answer: 1 lemon per 5 cups of lemonade
Step-by-step explanation: We know that 2 lemons can make 10 cups of lemonade. We can write this as the ratio 2:10. To find how many cups of lemonade are made per lemon used, we have to simplify the ratio to 1:5.
The cost to ship goods varies directly with the mass. Paul paid $20.40 to ship a package with mass 24kg. Write an equation for this relationship. HELP
Answer:
$10.01
Sana maka tulong po pa like hehdhdhdhdhdhdehehehehehehehe
Which of the following tables accurately represents the data shown in the bar graph?
Candy Number of People
Chocolate 10
Hard Candy 12
Chewy Candy 8
Candy Number of People
Chocolate 10
Hard Candy 12.5
Chewy Candy 8.5
Candy Number of People
Chocolate 10
Hard Candy 13
Chewy Candy 9
Candy Number of People
Chocolate 10
Hard Candy 14
Chewy Candy 10
NEXT
C
You just gotta read the graph. Chocalate is 10, Hard Candy is 13 and Chewy is 9
Answer:
it is actually b beacuse hard candy on the graph is 12.5 not 13!
Step-by-step explanation:
I dont want you guys to get it wrong so it is:BIt’s question 2
Help
Answer:
The answer to this one could be 8.2 for x
Step-by-step explanation:
Hope this Helped
Help extra points please !
Answer:
C. -1 is less than x
Step-by-step explanation:
-3 < 4x + 1
-3-1 < 4x +(1 -1)
-4 < 4x
-4/4 < 4x/4
-1 < x
2(x−1)=10
what is x and how did you get it i need help pleasee
Answer:
x=6
Step-by-step explanation:
2(x-1)=10 divide both sides by 2
x-1=10/2
x-1=5
x=5+1
x=6
Two people are standing in a field. One person is flying a kite with a string that is
300 ft long. When the kite is directly above the second person, the cosine value of
the angle made by the string and the ground is :
How far apart are the two people?
The distance between two people or the distance of the adjacent is 150 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
The distance of the string can be thought of as a hypotenuse which is 300 ft long.
The angle it is making with the hypotenuse is cosine 60° and the distance they are apart can be thought of as an adjacent.
Therefore, cos = adjacent/hypotenuse.
cos60° = adjacent/300.
1/2 = adjacent/300.
adjacent = 300/2.
adjacent = 150 ft.
Q. Two people are standing in a field. One person is flying a kite with a string that is 300 ft long. When the kite is directly above the second person, the cosine value of the angle made by the string and the ground is
60°, How far apart are the two people?
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
Which of the following are solutions to the equation below?
Check all that apply.
3x^2 + 10x-30 = x
Answer:
x1= -5
x2= 2
Step-by-step explanation: