or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
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A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
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3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
10 10/11
Step-by-step explanation:
Answer:
10 10/11
Step-by-step explanation:
3 3/4 × 2 10/11
15/4 * 32/11
480/44
120/11
10 10/11
A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
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hhhhhhhhhhheeeellllpppppp me
Answer:
ooo acellus its A
Step-by-step explanation:
What are the solutions of the equation 4x² + 3x = 24 - x?
O-3, 2, or 4
0-3 or 2
O-2, 3, or 4
O-2 or 3
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour
Answer:
572/55 = $10.4
or
(572 * 2)/ 55 = $20.8
Step-by-step explanation:
You divide the amount earned over the number of hours worked.
Or
if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Which is the missing factor that makes the equation true?
___ 1.1 = 0.22
A.0.02
B.0.2
C.2
D.20
The missing factor that makes the equation true is 0.2.
According to the question;
We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.Let the missing factor be represented as x.
x × 1.1 = 0.22In essence; by dividing both sides of the equation by 1.1; we have;
x = 0.22/1.1x = 0.2Read more:
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Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?
Answer:
It was on for 12.4 minutes
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
rate of water = 1.5x
x = amount of time
18.6 = 1.5x
x = 12.4
which of the following is true of the angle shown
the measure of the angle is greater than 360
the angle is not in standard position
the terminal side of the angle lies in quadrant 2
the angle can be measured in radians only
Answer:
the angle is not in standard position
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
54
Roman has played 56 of the 98 songs on his playlist. How many more songs are left on the playlist?
24
33
42
0 56
A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?
Step-by-step explanation:
customer need to purchase each year to save money = 100/15 × $12
= 1200/15
= $80
Answer:
More than $80Step-by-step explanation:
To save money, the customer needs to save the cost of the card first.
Solve it by ratios:
15% = 12100% = xSolve for x:
15x = 12*100x = 1200/15x = 80solve pls brainliest
Answer:
162
Step-by-step explanation:
don't you have calculator app on your phone??
Answer:
bru its it 32 a
Step-by-step explanation:
Pls help due in 10 minutes
Answer:
here is your answer hope it helps you
Which fraction has a repeating decimal as its decimal expansion?
Area of a square is 81cm. Find the perimeter in cm.
Answer:
36 cm
hope it helps have a great day
What is 41687 rounded to the nearest Highest Place
Answer:
40,000
Step-by-step explanation:
A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily
Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 0.75 inches, thus [tex]\mu = 0.75[/tex].Standard deviation of 0.04 inches, thus [tex]\sigma = 0.04[/tex]Sample of 36, thus [tex]n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067[/tex].The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
[tex]z = \frac{0.02}{s}[/tex]
[tex]z = \frac{0.02}{0.0067}[/tex]
[tex]z = 2.99[/tex]
The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
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PLS HELP I ONLY HAVE 5 MIN
Answer:
I know this isn't really help but Desmos is a good place to help you with stuff like this.
Answer:
y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6
Step-by-step explanation:
Slope (m) = 0.4
(8-y)/(3-x) = o.4
8-y = 1.2 - o.4x
6.8 - y = -0.4x
y = 0.4x + 6.8
From y = mx + c , where c is the y-intercept
hence 6.8
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
Answer:
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.
Answer:
Slope of PQ
m
r
=
y
Q
−
y
P
x
Q
−
x
P
=
1
−
5
−
1
−
(
−
2
)
=
−
4
Slope of QR
m
p
=
y
R
−
y
Q
x
R
−
x
Q
=
3
−
1
7
−
(
−
1
)
=
1
4
Slope of RP
m
q
=
y
R
−
y
P
x
R
−
x
P
=
3
−
5
7
−
5
=
−
1
Since slopes PQ & PR,
m
r
=
−
1
m
p
, it's a right triangle
I need help with Special Right Triangles. Thanks :)
Answer: c
Step-by-step explanation:
sin(45) = [tex]\frac{12}{AB}[/tex]
sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]
so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]
[tex]AB = \frac{24}{\sqrt{2} }[/tex]
[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]
[tex]AB = \frac{24\sqrt{2} }{2}[/tex]
[tex]AB= 12\sqrt{2}[/tex]
Please give me a brainliest answer
[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]
Given g(x) = 2x + 5, find g(1).
Step-by-step explanation:
The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.
thankyou
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
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what are the coorrect ones?
Answer:
16:18
Step-by-step explanation:
4 * 4= 16
2*4=8
Therefore
The ratio is 16:8
Hope this helps
Have a nice day! :D
Give brainliest if possible pls :)
anyone have the answer?
Answer:
50.3 (rounded) I think? Could be wrong, however, it's what I got
3. Kayla bought 3 pounds of peachee for
$1.49 per pound. How much did she pay for
the peaches?
Answer:
$4.47
Step-by-step explanation:
If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.
$1.49 x 3 = $4.47
Hope this was helpful =D
If it was, maybe I could be brainiest?
No pressure! :)