You buy 50 feet of fence to place around a rectangular yard. If the length of the yard is 13 feet, what is the constraint for the width of the yard? Let w represent width *
Answers
Step-by-step explanation:
a fence represents the circumference, the perimeter of the lot or yard.
remember, a rectangle has 2 parallel sides called the length, and 2 parallel sides called the width (altogether 4 sides).
therefore
perimeter = 2×length + 2×width
or with short variables
p = 2×l + 2×w
so, now we have 50 ft of fence available for the perimeter. and the length l = 13 ft.
since we have 2 lengths in the perimeter, these 13 ft are twice (2×13 = 26 ft) in the perimeter.
now, how much fence do we have left for the width ?
well, 50 - 26 = 24 ft
and again, this is the size of 2 sides (2×width) :
p = 2×l + 2×w
50 = 2×13 + 2×w = 26 + 2×w
2×w = 24
w = 12 ft
so, the width of the yard must not be bigger than 12 ft.
Related Questions
simplify the product using the distributive property.
(8b+5)(7b-2)=?
Answers
Answer:
5 6 2 + 1 9 − 1 0
Step-by-step explanation:
a survey of 50 people were taken 30 like chocolate 20 like vanilla 10 like both how mnay like choclate
Answers
From the survey of 50 people 20 people like chocolate.
A survey was conducted with 50 people, out of which 30 liked chocolate, 20 liked vanilla, and 10 liked both. The question is asking how many people like chocolate.
To determine the number of people who like chocolate only, we subtract the number of people who like both flavors from the total number of people who like chocolate.
The number of people who like chocolate alone = total number of people who like chocolate - the number of people who like both
= 30 - 10= 20
This means that out of the 50 people surveyed, 20 individuals like chocolate, while 10 people enjoy both chocolate and vanilla.
Therefore, 20 people like chocolate.
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small fly 2.2 times 10 to negative 3 ( 9 times 10 to -4 )
How much heavier is the fly than the gnat?
Answers
Answer:
eu não entendo seu idioma vale
3. The Windless Surfing Company has determined its cost for making custom sails to be C = 380 + 18S, where C is the cost in dollars, and S is the number of sails. If the cost can be higher than $4,000 but must be smaller than $11,000, how many sails can they make per week? (You must set up an inequality.)
Answers
The cost equation is:
\(C=380+18S\)This cost has to be between 4000 and 11,000. Thus, we can write:
\(4000<380+18S<11000\)We can solve for the range of S with a little algebra, shown below:
\(\begin{gathered} 4000<380+18S<11000 \\ -380<-380<-380 \\ ---------------- \\ 3620<18S<10620 \\ \frac{3620}{18}<\frac{18S}{18}<\frac{10620}{18} \\ 201.11To meet the needs, the Windless Surfing Company can make between 202 sails and 589 sails.What is the area of the given compound shape?
a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2
Answers
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
help me plzzzzzzzzzzzzzz
Answers
Answer:
$25.65 for each pair
Step-by-step explanation: hope this helps!
I needdddd helppppppppp
Answers
Answer:
i think it d
Step-by-step explanation:
Answer:
8, 12 and 18
Step-by-step explanation:
That can form an Obtuse scalene triangle.
Brainliest please.
a dataset on 91 roller coasters lists the duration of the ride in seconds in addition to the drop height in feet for some of the coasters. one coaster, the tower of terror, is unusual for having a large drop but a short ride. after setting it aside, a regression to predict duration from drop for the remaining 90 coasters has r29.4%. complete parts a through c.a) What are the variable and units in this regression? The predictor variable is ___ in units of ___ and the response variable is ___ in units of ___ b) What units does the slope have? Feet, Seconds per foot, Seconds, Feet per second. c) Is the slope probably positive or probably negative? Explain. The slope is probably ____ because ___
Answers
(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.
(b) The slope is in seconds per foot.
(c) The slope may be negative, as greater drop heights generally result in longer travel times.
(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.
(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.
(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.
Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .
The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.
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A rectangular swimming pool has a length of 50m and a breadth of 30m. During a swimming proficiency test, Ethan has to swim from one corner of the pool to the opposite corner. Find the distance Ethan has to swim.
Answers
Use the Pythagorean theorem to find the diagonal.
Diagonal = sqrt( 50^2 + 30^2)
Diagonal = sqrt(2500 + 900)
Diagonal = sqrt(3400)
Diagonal = 58.309 meters ( round as needed)
The line at the top of the diagram is parallel to the base of the triangle.
What is the measure of angle x?
___ degrees
Answers
The value of the missing angle x in the given triangle is; x = 55°
What is the value of the missing angle?From the image attached, we are told that the line at the top is parallel to the line at the base of the triangle.
Now, alternate angles are defined as angles that occur on opposite sides of the transversal line and have the same size.
This means that the angle formed to the right of 50 degrees will be an alternate angle to 75° and as such they are congruent.
Now, we know that sum of angles on a straight line is equal to 180°. Thus;
x + 50 + 75 = 180
x + 125 = 180
x = 180 - 125
x = 55°
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is 0 a solution to 2x +0 =4x+10 explain how
Answers
Answer:
No, x=-5 is the answer
Step-by-step explanation:
Did this before, trust me
The _______________ is the smallest value within the class and the _______________ is the largest value within the class.
Answers
The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.
A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:
Class: 5-9 5 9
Lower Limit: 10-14 10 14
Upper Limit: 15-19 15 19
This shows class limits for three different classes.
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Jessica is collecting aluminum cans during the summer for a recycling project. She collected 120 aluminum cans in June and 150 aluminum cans in July.
What is the percentage change of the number of cans she collected in June to the number of cans she collected in July?
A.
a 25% increase
B.
a 25% decrease
C.
a 20% decrease
D.
a 20% increase
Answers
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Bc you are adding 1/4 of 120 which equals 150
A square has vertices at (1,1), and (2, -1). Where are the two vertices located? How do you know you have created a square?
Answers
If you graph the point
(1,1)
and
(2,-1)
you see this. Shown below:
For a craft project you need 114 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
29
290
3
12
Answers
The length of the ribbon used for the craft project is 3 meters
The length of ribbon need for the craft project = 114 inches
So, the length of the ribbon need to be in meters .
Thus, we can convert inched to centimeter by
1 inches = 2.54 centimeters
We know that 1 cm = 0.01 m
Thus , 1 inch = 2.54 x 0.01 m
1 inch = 0.0254 m
Then for length of 114 inch ,
114 inch = 0.0254 x 114 meters
= 2.89
≈ 3 meters
Therefore , the length of the ribbon is 3 meters
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(C): 3 meters.
Step-by-step explanation: The answer is 3 meters. The way to find this is relatively easy.
1. First, write 114 x 2.54.
2. Which is 289.56. Next, we convert 389.56 centimeters to meters.
3. That should give you 2.89. Because 8 is bigger than 4, we round up.
4. Now our answer is 3.
AFTER MESSAGE: I hope this helps! This is my first answer in a while, so forgive me if it is complicated. Also, give brainliest to other guy, he was here first.
Thank you!
The first assignment, I gave it to them, they came back in
two weeks and they just blew me away. I mean the work
was so beyond, literally, my imagination, because I had
copied the process from Imagineering's VR lab, but I had
no idea what they could or couldn't do with it as
undergraduates, and their tools were weaker, and they
came back on the first assignment, and they did
something that was so spectacular that I literally didn't,
ten years as a professor and I had no idea what to do
next. So I called up my mentor, and I called up Andy Van
Dam. And I said, Andy, I just gave a two-week
assignment, and they came back and did stuff that if I
had given them a whole semester I would have given
them all As. Sensei, what do I do? [laughter] And Andy
thought for a minute and he said, you go back into class
tomorrow and you look them in the eye and you say,
"Guys, that was pretty good, but I know you can do
better." [laughter) And that was exactly the right advice.
What is the purpose of Pausch telling this story?
O He wants to show what a good teacher he was.
O He wants the audience to hire his former students
as computer programmers.
O He wants to show that in order to encourage
people, one should not limit what they can do.
O He wants to encourage other professors to give
difficult assignments
Answers
Answer:
i supper confused sorry
Answer:
C: He wants to show that in order to encourage people, one should not limit what they can do.
Step-by-step explanation:
please help need all questions answered i’ll give brain and good rating
Answers
Answer:
A) Domain:(-♾, ♾) negative infinity to positive infinity
B) Vertex: (0,4), the vertex represents the minimum of this graph
C) No real zeros because the parabola doesn’t cross the x-axis
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
Answers
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
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A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 18 cm, a width of 6 cm, and a height of 9 cm. The pyramid has a height of 15 cm. Find the volume of the composite space figure.
How am I supposed to know I need an explanation or answer. Thanks!
Answers
The required volume of the given composite space figure is 1512 \(cm^3\).
Given that, the rectangular pyramid fits exactly on top of a rectangular prism. The length of the prism is 18 cm, width is 6 cm and height is 9 cm. The length of the pyramid is 18 cm, width is 6 cm and height is 15 cm.
To find the volume of the composite figure formed by the rectangular pyramid on top of the prism, find the volume of prism and pyramid and then add it .
The volume of the prism is given by V1 = length × width × height.
The volume of the pyramid is given by V2 = length × width × height.
The volume of the composite figure is V = V1 +V2.
By using the given data and formula, find the volume of the prism,
Volume of prism V1 = length × width × height.
Volume of prism V1 = 18 × 6 × 9.
Thus, Volume of prism V1 = 972 \(cm^3\) .
By using the given data and formula, find the volume of the pyramid,
Volume of pyramid V2 = (length × width × height)/3.
Volume of pyramid V2 = (18 × 6 × 15)/3.
Thus, Volume of pyramid V2 = 1620/3= 540 \(cm^3\) .
By using above volumes, find the volume of the composite figure.
V = V1 +V2.
V = 972 + 540.
V = 1512 \(cm^3\) .
Hence, the required volume of the given composite space figure is
1512 \(cm^3\)
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identify the graph of b(x)=8x^2
compare the graph of b to the graph of f(x) =x^2
Answers
Answer:
Vertical stretch by a factor of 8
Following Conversion Factors, How Many Football Fields Fit In That Area Of Land? 1 Acre = 1 Football Fields 1 Mi^2 = 640 Acres 1mi =1.61 Km Please Answer And Show Work In Legable Writing. Thank You.
SHSU campud is 1.49km^2. Using the following conversion factors, how many football fields fit in that area of land?
1 acre = 1 football fields
1 mi^2 = 640 acres
1mi =1.61 Km
Please answer and show work in legable writing. Thank you.
Answers
The 359.68 football fields fit in the area of land occupied by SHSU campus.
To determine Conversion Factor how many football fields fit in the area of land occupied by SHSU campus (1.49 km^2), we need to convert the area to acres and then divide by the area of one football field.
First, let's convert 1.49 km^2 to acres. We know that 1 mile is equal to 1.61 km, and 1 mi^2 is equal to 640 acres.
1.49 km^2 * (1 mi / 1.61 km)^2 * (640 acres / 1 mi^2) = 0.562 mi^2 * 640 acres/mi^2 = 359.68 acres
Now we have the area of the SHSU campus in acres, which is 359.68 acres.
Since 1 acre is equal to 1 football field, we can conclude that 359.68 football fields fit in the area of land occupied by SHSU campus.
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If a piece of aluminum foil weighs 4.08 grams and the length of the piece of foil is 10. cm (note that I changed the significant figures for the length) and the width of the piece of foil is 93.5 cm, what is the thickness of the foil
Answers
Rounding to three significant figures, the thickness of the foil is:
thickness = 1.54 x 10^-5 cm
To find the thickness of the foil, we can use the formula:
thickness = mass / (length x width x density)
where mass is the weight of the foil, length and width are the dimensions of the foil, and density is the density of aluminum.
The density of aluminum is approximately 2.70 g/cm³.
Substituting the given values, we get:
thickness = 4.08 g / (10.0 cm x 93.5 cm x 2.70 g/cm³)
thickness = 1.54 x 10^-5 cm
Rounding to three significant figures, the thickness of the foil is:
thickness = 1.54 x 10^-5 cm
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the time it takes the flash to complete an obstacle course is an exponentially distributed random variable with mean 30 minutes. the time it takes the reverse-flash to complete the same obstacle course is an exponentially distributed random variable with mean 32 minutes. if the flash and reverse-flash start the obstacle course at the same time, and finish independently of each other, what is the probability that the two finish the course within 2 minutes of each other?
Answers
Let's call the time it takes the Flash to complete the obstacle course "X" and the time it takes the Reverse-Flash to complete the obstacle course "Y". We know that X and Y are independently exponentially distributed with means 30 and 32 minutes, respectively.
The probability that they finish within 2 minutes of each other is equal to the probability that |X - Y| < 2.
To calculate this, we can use the cumulative distribution function (CDF) of the absolute value of the difference between two exponential random variables. The CDF of the absolute value of the difference between two exponential random variables with means μ1 and μ2 is given by:
F(t) = 1 - (μ1 / (μ1 + μ2)) * exp(-(μ1 + μ2)t) + (μ2 / (μ1 + μ2)) * exp(-(μ1 + μ2)t)
So, the probability that they finish within 2 minutes of each other is:
P(|X - Y| < 2) = F(2) = 1 - (30 / (30 + 32)) * exp(-(30 + 32) * 2) + (32 / (30 + 32)) * exp(-(30 + 32) * 2)
This can be calculated numerically to get the answer, which is approximately 0.1721.
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If every 3 cm on a scale drawing is equal to 4 feet and realize which lines on the drawing would be greater than 12 feet in real life? select all the apply
Answers
Lines that are greater than 12 feet in real life are AB, CE, GH, IJ, KL, MN, OR, QS, TU, VW, and Y.
The given scale drawing tells us that every 3 cm on the scale drawing is equal to 4 feet in real life.
To determine which lines on the drawing would be greater than 12 feet in real life, we have to find the length of the line in centimeters and then convert it into feet.
We can use the proportion 3 cm/4 ft to convert the length of the line on the scale drawing into feet. Lines that are greater than 12 feet in real life are those that have a length of more than 9 cm on the scale drawing.
The lines that are greater than 12 feet in real life are as follows: ABCEGHIJJKLMNORQSTUVWY
The above lines have a length of more than 9 cm on the scale drawing, and using the proportion 3 cm/4 ft we can see that their length in real life is greater than 12 feet.
Hence, the lines that are greater than 12 feet in real life are AB, CE, GH, IJ, KL, MN, OR, QS, TU, VW, and Y.
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what percentage of 23 miles is 27 miles? round your answer to the nearest hundredth of a percentage point.
Answers
The percentage of 27 miles in 23 miles is 117.39%.
Percentage is a way of expressing a fraction or a portion of a whole number in relation to 100. It is denoted by the symbol "%". A percentage is calculated by dividing the part (numerator) by the whole (denominator) and multiplying the result by 100. A percentage can also be used to represent a rate or a percentage change over time.
In this case, we are asked to find what percentage of 23 miles is 27 miles. The part is 27 miles and the whole is 23 miles. Therefore, the percentage is:
% = part/whole = 27/23 x 100 = 117.39%
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$3,200 are deposited into an account with a 8% interest rate, compounded annually.
Find the accumulated amount after 4 years.
Hint: A= P (1+r/k)kt
Answers
Answer:
The final balance is $4,353.56.
The total compound interest is $1,153.56.
Step-by-step explanation:
plzz help...
Which of the following statements is true? A Diameter x pi= circumference B. Circumference x pi= diameter c. Diameter pi= circumference D. Diameter x circumference = pi
Answers
Answer: A Diameter x pi= circumference
Step-by-step explanation:
The circumference of a circle is given as:
= 2πr
where,
π = pi = 3.14
r = radius
Note that diameter = 2 × radius.
Therefore, circumference = 2πr = πd
Therefore, circumference will be pi multiplied by diameter. The correct option is A.
The correct statement is:
A. Diameter x pi = circumference
Please help i need the answers fast
A 19
B 28
C 33
D 35
Answers
Answer:
the answer for that is 35 letter D
Given the following discrete noise signal: [0.031, 0.073, 0.047, 0.06, 0.056, 0.042, 0.012, 0.041, 0.081, 0.072], calculate the standard deviation and RMS of the noise
Answers
Therefore, the standard deviation of the noise is approximately 0.0372, and the RMS of the noise is approximately 0.0584.
To calculate the standard deviation and RMS (Root Mean Square) of the given discrete noise signal [0.031, 0.073, 0.047, 0.06, 0.056, 0.042, 0.012, 0.041, 0.081, 0.072], follow these steps:
Step 1: Calculate the mean (average) of the data:
Mean = (0.031 + 0.073 + 0.047 + 0.06 + 0.056 + 0.042 + 0.012 + 0.041 + 0.081 + 0.072) / 10
= 0.055
Step 2: Calculate the variance of the data:
Variance\(= [(0.031 - 0.055)^2 + (0.073 - 0.055)^2 + (0.047 - 0.055)^2 + (0.06 - 0.055)^2 + (0.056 - 0.055)^2 + (0.042 - 0.055)^2 + (0.012 - 0.055)^2 + (0.041 - 0.055)^2 + (0.081 - 0.055)^2 + (0.072 - 0.055)^2] / 10\)
= 0.00138
Step 3: Calculate the standard deviation:
Standard Deviation = √(Variance)
= √(0.00138)
≈ 0.0372 (rounded to four decimal places)
Step 4: Calculate the RMS (Root Mean Square):
RMS = √\(((0.031^2 + 0.073^2 + 0.047^2 + 0.06^2 + 0.056^2 + 0.042^2 + 0.012^2 + 0.041^2 + 0.081^2 + 0.072^2) / 10)\)
= √(0.0034)
≈ 0.0584 (rounded to four decimal places)
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-4x + 2y = 18
Convert to slope-intercept form
Answers
Answer:
y= 2x+9
Step-by-step explanation:
Answer:
y=-2x+9
Step-by-step explanation:
y=mx+b