You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The blue fabric costs $3.50 per square yard and the white fabric costs $2 per
square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?
5 ft
3
Answers
Answer:
cost of the fabric = $22
Step-by-step explanation:
The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.
area of the hexagon = 3/2 × √3 × a²
where
a = sides
area of the hexagon = 3/2 × √3 × a²
a = 5 ft
convert ft to yard
3 ft = 1 yard
5 ft = 5/3 = 1.6666666667 yards
area = 3/2 × √3 × 1.6666666667²
area of the hexagon = 7.21687836516 yard²
Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258 yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4
blue fabric cost $3.50 per square yard.
The cost for this yard = 4 × 3.50 = $14
white fabric cost $2 per square yard .
The cost for this yard = 4 × 2 = $8
Total cost = 14 + 8 = $22
cost of the fabric = $22
Related Questions
Rewrite (2 + 6)5 using the Distributive Property.
Answers
Answer:
5 * 2 + 6 * 5
Step-by-step explanation:
Distributive Property.
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
with a diameter of 10m
Answers
Answer:
523.59 or 523.60
Step-by-step explanation:
Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)
(r is radius, V is volume)
V= 4/3 x π x r^3
The diameter is 10, so the radius is 5...
V= 4/3 x π x 5^3
V= 4/3 x π x 125
CALCULATER: 4 ÷ 3 x π x 125
Answer 523.59 (523.60 rounded)
What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds
Answers
Answer:
1/3 = 0.3333 = 33.33%
Step-by-step explanation:
In the six-sided die we have 6 possible values, from 1 to 6.
To roll a number less than 5, the options are: 1, 2, 3 or 4.
We have 4 options, so the probability is P = 4/6 = 2/3
To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:
complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%
(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)
Answer:
1/3
Step-by-step explanation:
I took the test
The graph of a polynomial is shown below. Is its highest power even or odd? Explain.
Answers
Answer:
Step-by-step explanation:
the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer
It's highest power is odd
What is graph of polynomial ?
The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.
According to the question,
Graph of polynomial is shown in given graph,
(1) at point A graph passes linearly
(2) At point b, graph passes x-axis cubically
(3) At point c, Graph passes x-axis linearly
Hence, polynomial having degree 5
Hence, it's highest power is odd
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In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.
Answers
Answer:
Two intervals are 63 and 75
Step-by-step explanation:
Given:
Mean of students (μ) = 69 inches
Standard deviation (σ) = 3 inches μ
Find:
Interval of heights (95%) using empirical rule
Computation:
Interval of heights (95%) using empirical rule:
⇒ μ – 2σ = 69 - 2(3)
⇒ μ – 2σ = 69 - 6
⇒ μ – 2σ = 63
⇒ μ + 2σ = 69 + 2 (3)
⇒ μ + 2σ = 69 + 6
⇒ μ + 2σ = 75
Two intervals are 63 and 75
Answer: 65.5, 72.5
Step-by-step explanation:
List some ways that modern cities in developed countries have improved sanitation conditions over the last 200 years.
Answers
Answer:
They can build pipes for clean water, and building toilets can also help get rid of unhygienic.... You know Also, hygiene education would help too.
Hope that helped ya, vote, thanks, and brainliest. Have an great day! :D
Some improvements that large cities have made to improve health are: Water purification, Sewage channeling, and Recycling, reuse, and waste reduction
Sanitation is a term to refer to:
A set of actions focused on improving public healthPromotes environmental healthIncludes activities such as the sanitary management of drinking water, wastewater, and discharges, solid waste, organic, among othersIncludes actions related to sanitation to reduce health risks and prevent contaminationDuring the last 200 years, there have been many actions to improve sanitation conditions in large cities such as:
Improvement of the hospital and health post systemImprovement of the sewerage networkWater purificationSewage channelingRecycling, reuse, and waste reductionPest controlThese actions have allowed the health of the cities to improve and the life expectancy of people to be much higher. This also contributes to a cleaner, more livable, and less polluted city.
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Esme plans to flip a fair coin 3 times and record the results of each flip.
What is the probability that the coin lands with the heads side up on all 3 flips?
Enter your answer as a reduced fraction, using the / symbol, like this: 42/53
Answers
Answer:
ttt
htt
tht
tth
hht
thh
hth
hhh
these are the possible outcomes of the three outcomes
so probability of hhh = 1/8
The probability that the coin lands with the heads side up on all 3 flips will be 1/8.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:
P = (1/2) x (1/2) x (1/2)
P = 1/8
More about the probability link is given below.
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Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
Answers
The answer is 20%
If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)
Answer:
-20% decrease
Step-by-step explanation:
40-50=-10
-10/50=-0.2
-0.2*100=-20%
Hope this helps.
Keith is using 12 brown and 8 white tiles to design a section of an outdoor patio for his home. Which ratio compares the number of brown tiles to total number of tiles in the section?
Answers
Answer:
8 : 20
Step-by-step explanation:
This would be 8 : 20 because all together their are 20 tiles and it is only asking for the brown tiles. So you add (the brown tiles) : (overall amount)
A dilation with a scale factor of 1/3 is a reduction.
True or false
Thank you if you can help!
Answers
That will make the thing a third of its original size.
Simplify over the set of complex numbers sqrt(- 1)
Answers
Answer: i
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
PLZ HELLPPP
Triangular prism Base – height of 8 feet and base of 18 feet Height – 30 feet Rectangular prism Base – length of 30 feet and width of 18 feet Height – 15 feet How many cubic feet of space are in the house? ft3
Answers
Answer:10,260
Step-by-step explanation:I took the test
Answer:
60
Step-by-step explanation:
A sphere with a radius of 11 in
Answers
Answer:
-The volume of a sphere:
[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]
or
[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)
Step-by-step explanation:
-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi 11^3[/tex]
-Then, you solve the formula:
[tex]V = \frac{4}{3} \pi 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]
[tex]V = \frac{4}{3} \pi \times 1331[/tex]
[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]
-Round up to the nearest hundredth (if needed):
[tex]V \approx 5575.28[/tex]
7h=-(2h-18)7h=−(2h−18) Solve for h
Answers
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 3, 4, 12, 14, 17, 19.
The mean is
The median is 14
Answers
Answer:
The mean is 11.5
Step-by-step explanation:
When looking for the mean you add all the given numbers then divide based on the amount of numbers.
3+4+12+14+17+19=69
69/6=11.5
If this helps please mark me as the brainliest
Do 3,4 for 5-8 points.
Answers
Answer:
45+46+47
-2+-3+-4
Step-by-step explanation:
Match each equation with its graph
Answers
Answer:
A--> D
B-->A
C--> C
D-->B
Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?
Answers
Answer:
4 out of 14
Step-by-step explanation:
there is only 4 door bells and 14 bells in total
On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?
A. x + 15
B. x – 5
C. x + 5
D. x – 15
Answers
Answer:
C
Step-by-step explanation:
(4x-5) - (3x-10) = ?
(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)
Turns into: 4x - 5 - 3x + 10
Which equals: x + 5
Answer:
c
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer: The answer is C.
hope you do good on quiz! :D
A 12 sided solid has faces numbered 1 through 12. The probability of rolling a number greater than 5
Answers
Answer: 7/12
Step-by-step explanation:
From numbers 1 - 12, there are seven numbers greater than 5 so they probability of rolling a number greater than 5 is 7/ 12
Use the Rate-Factor Model for multiplication. The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a __________________ of _________________feet.
increase, 320 feet
decrease, 320 feet
increase, 1,280 feet
decrease, 1,280 feet
Answers
Answer:
The net change is a decrease of 1,280 feet
Step-by-step explanation:
From the question, we understand that the hiking team has a work rate of 320 feet / hour
Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.
Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet
Thus, the net change is decrease of 1,280 feet
Which number has the least value?
Answers
Answer:
Your annswer is b
Step-by-step explanation: because it is least than all of the others
The number that has the least value is given as -13.142.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.
Write all the numbers in one equivalent form as below,
⇒ |-10.869| = 10.869
⇒ -14⁶/₇ = -14 + 6/7 = -13.142
⇒ 9.21
⇒ |-10.25| = 10.25
It is clear from the equivalent form that the least value is -13.142.
Hence, the the least value number is obtained as -13.142.
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Help!!! Please????????
Answers
Answer:
idk
Step-by-step explanation:
i dont know
1.) There are two solutions, X = 1 plus or minus root 145/ 6.
2.) There are 2 solutions with components imaginary. X = 3/2 + i/2 and 3/2 - i/2
3.) There’s 2 solutions X = ( -7 plus or minus root 93)/2
4.) There is one solution X = -4
I hope that helps.
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answers
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
8/15
Step-by-step explanation:
this is another answer, if you get these numbers
what is the center of the circle shown below
Answers
Answer:
B. S
Step-by-step explanation:
Its point S because its in the center of the circle.
Answer: B. S
Step-by-step explanation:
S is the center point of the circle. A and M are both points on the outside of the circle, and segment AS is a radius.
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answers
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
last question, please help!
Answers
Answer:
Answer rounded to the nearest hundredth:
44.68 m²Step-by-step explanation:
Let S be the area of the sector
and A be the area of the whole circle
360 corresponds to the area of the whole circle
80 corresponds to the area of the sector
means
360 —————————-> π×8²
80 —————————-> S
then
[tex]S=\frac{80*(\pi*8^2) }{360}= 44.680428851055[/tex]
Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)
Answers
Answer:
4175.40384 Dutch guilders
Step-by-step explanation:
The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars
So ; if 1 swiss francs = 1.0328 united states dollars (as at Wednesday)
Then 2000 swiss francs will be = 2000 × 1.0328 united states dollars = 2065.6 united states dollars
SO; if 1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)
Then 2065.6 united states dollars will be = 2065.6 × 2.0214
= 4175.40384 Dutch guilders
Answer:
closest would be 3,500
Step-by-step explanation:
Cleo sold lemonade at her lemonade stand. On Saturday, she sold 6 pitchers of lemonade. On Sunday, she sold as much lemonade as on Saturday. How many pitchers of lemonade did Cleo sell on Sunday?
Answers
Answer:
12 pitchers
Step-by-step explanation:
Saturday, 6 pitchers
Sunday, same number of pitchers with Saturday, = 6 pitchers
Total pitchers = 6 + 6 = 12 pitchers
Answer:
Cleo sold 6 pitchers of lemonade on Sunday.
Step-by-step explanation:
Cleo sold lemonade at her lemonade stand.
She sold 6 pitchers on Saturday.
On Sunday, she sold as many pitchers as Saturday.
This implies that she sold 6 pitchers too.
She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.
