The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft about how many trees will be planted. explain. 12 is an incorrect answer.
Answers
Answer:
2 trees
Step-by-step explanation:
Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.
We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.
This means that the side lengths of both of them combined will be [tex]234-52-68=114[/tex]
This means the side adjacent to Dayton Avenue is
[tex]114\div2=57[/tex] feet long.
Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.
[tex]57\div20=2.85[/tex]
Rounding down gets us 2.
Hope this helped!
The number of trees to be planted is 2 trees
The process of arriving at the above number of trees is as follows;
The given parameter are;
The perimeter of the plot of land adjacent to Dayton Avenue = 234 ft.
The perimeter has two pair of unknown lengths sides marked with equal lengths symbols
One length each of the two congruent pairs form a linear pair adjacent to the road
The length of one of the other side = 52 feet
The length of the fifth side of the perimeter = 68 ft.
Method;
Let, x, and y represent the lengths of the congruent pairs, we have;
52 ft. + 68 ft. + 2·x + 2·y = 234 ft.
2·x + 2·y = 234 ft. - (52 ft. + 68 ft.) = 114 ft.
The length of the linear pair forming the side of the perimeter adjacent to the road, x + y = 114 ft./2 = 57 ft.
The number of trees planted every 20 ft. = 1 tree
The number of trees, n, that can be planted along the perimeter of the plot of land adjacent to Dayton Avenue which is 57 ft. long is therefore;
n = 57 ft./(20 ft./Tree)
∴ n = 57/20 Trees = 2.85 trees
The number of trees that can actually be planted by the owners of the plot
of land is given by rounding down to the next whole number, given that the
the information is statistical analysis which gives;
n ≈ 2 Trees
The number of trees to be planted = 2 trees
Learn more about statistical analysis here;
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Related Questions
Solve for y. 7x-5y=-35
Answers
Answer:
y = 7(1 + x/5)
Step-by-step explanation:
7x - 5y = -35
-5y = -35 - 7x
5y = 35 + 7x
y = (35 + 7x) / 5
y = 7 + 7x/5
y = 7(1 + x/5)
how many 1/16 pieces are in 2/8? how many 1/8 pieces are in 10/16? how many 1/8 pieces are in 4/4?
Answers
Answer:
4/16 pieces are in 2/8, 5/8 pieces are in 10/16, 8/8 pieces are in 4/4
Step-by-step explanation:
multiply or divide both the numerator (top number) and the denominator (bottom number) by a number that will give you a common denominator
[tex]\frac{2*2}{8*2} =\frac{4}{16} \\\frac{10/2}{16/2} =\frac{5}{8} \\\frac{4*2}{4*2}=\frac{8}{8}[/tex]
Find the domain of the function.
f(x) = - 4x + 5
The domain is (Type your answer in interval notation.)
Answers
Answer:
(-∞,∞)
Range (-∞,∞)
Step-by-step explanation:
An envelope contains an assortment of photos of the same size. The photos are of children, of pets, or of adults. Billy randomly took a photo from
the envelope, recorded what type of picture it was, and then replaced the photo in the envelope. He did this a total of 10 times. The table shows the
outcomes.
Children Pets Adults
5 3 2
Based on these results, what is the probability the next photo taken from the envelope will be a photo of pets?
Answers
Answer:
0.3
Step-by-step explanation:
From the question given above, the following data were obtained:
Children (C) = 5
Pet (P) = 3
Adult (T) = 2
Probability of obtaining a photo of pet, P(P) =?
Next, we shall determine the total outcome i.e the sample space (S).
This is illustrated below:
Sample space (S) = nC + nP + nA
Sample space (S) = 5 + 3 + 2
Sample space (S) = 10
Finally, we shall determine the probability of a photo of pet.
This can be obtained as follow:
Event of obtaining Pet, nP = 3
Sample space (S) = 10
Probability of obtaining a phone of pet, P(P) =?
P(P) = nP/nS
P(P) = 3/10
P(P) = 0.3
Therefore, the probability of obtaining a photo of pet is 0.3
What’s half of 4,538
Answers
Answer: 2,269
Step-by-step explanation: Divide by 2 to get half of a number
Answer:
2269
Step-by-step explanation:
just simply divide 4538 by 2
The combined (verbal + quantitative reasoning) score on the GRE (Graduate Record Exam) is normally distributed with mean 1049 and standard deviation 189. Suppose n = 16 randomly selected students take the GRE on the same day.
a. What is the probability that one randomly selected student scores above 1100 on the GRE?
b. Describe the sampling distribution of the sample mean for the 16 students (description should include mean, standard deviation and shape).
c. What is the probability that a random sample of 16 students has a mean GRE score that is less than 1100?
d. What is the probability that a random sample of 16 students has a mean score that is more than 1100?
e. If the sample size in (d) above was increased to 64, what affect would it have on the probability (more, less, the same, can't tell) and why?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given The following :
Assume score is normally distributed with;
Mean (m) = 1049
Standard deviation (sd) = 189
Numbw rof observations (n) = 16
A) What is the probability that one randomly selected student scores above 1100 on the GRE?
Zscore = (x - m) / sd
X = 1100
Zscore = (1100 - 1049) / 189
Zscore = 51 / 189 = 0.27
From z-table ; 0.27 correspond to 0.6064
P(X > 1100) = 1 - P(X < 1100) = 1 - 0.6064 = 0.3936
2) sample mean will be equal to population mean = 1049
Sample Standard deviation : (population standard deviation / sqrt (n))
= 189 / sqrt(16) = 189/4 = 47.25
Shape of distribution is approximately normal
3)
P(Z < 1100)
X = 1100
Zscore = (x - m) / standard error
Standard Error = population standard deviation / sqrt (n)
= 189 / 4 = 47.25
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
From z-table :
P(Z < 1100) = 0.8599
4)
D.)
P(Z > 1100)
X = 1100
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
From z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.140
E)
With a sample size of 64
Standard Error becomes:
189 / sqrt(64) = 189/ 8 = 23.63
Zscore = (1100 - 1049) / 23.63
Zscore = 51 / 23.63 = 2.16
P(Z > 2.16) = 1 - P(Z < 2.16) = 1 - 0.9846 = 0.0154
Probability is less due to increase in sample size
a pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.
a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.
Answers
Answer:
1). Mass of water present= 18000 kg
2).4/3 meters deep
Step-by-step explanation:
Area of the rectangle= 6*3= 18m²
Volume of water in the pool
= Deepness of water*area of rectangle
= 1*18
= 18 m³
density of water is about 1 gram per cubic centimeter
In kg per m³= 1000 kg/me
Mass of water present= density*volume
Mass of water present= 1000*18
Mass of water present= 18000 kg
2)6000 kilograms of water is added to 18000 of
Total mass present= 6000+18000
Total mass present=24000 kg
If density= 1000kg/m³
Volume present= mass/density
Volume present= 24000/1000
Volume present= 24 m³
Area of the rectangle= 18 m²
deepness of the pool= volume/area
deepness of the pool= 24/18
deepness of the pool= 4/3 meters deep
for surge works at the super market as a casheir a bagger and a stocker he earns 7.00$ per hour as a casheir , $6.00 per hour as a bagger and $5.00 oer hour as a stocker in a given week serge works 4 hours as a cashier 9 hours as a bagger and 7 hours as a stocker what is serge average pay per hour
Answers
Answer:
$117.00
Step-by-step explanation:
-earns $7.00 per hour as a cashier
-earns $6.00 per hour as a bagger
-earns $5.00 per hour as a stocker
-works 4 hours as a cashier
-works 9 hours as a bagger
-works 7 hours as a stocker
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the amount of hours worked in a week.:
$7.00/hr * 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr * 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge know earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr * 7hrs=$35.00 made as a stocker
Finally, the question asks for the average amount of money made per week, so add up all you calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Surge makes an average of $117.00 in a given week.
The serge average pay per hour will be $117.00.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
It is given that earns $7.00 per hour as a cashier, earns $6.00 per hour as a bagger, earns $5.00 per hour as a stocker, and works 4 hours as a cashier -works 9 hours as a bagger -works 7 hours as a stocker.
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the number of hours worked in a week.:
$7.00/hr x 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr x 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge now earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr x 7hrs=$35.00 made as a stocker.
Finally, the question asks for the average amount of money made per week, so add up all your calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Therefore, the serge average pay per hour will be $117.00.
To know more about Expression follow
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A square has a side length of 9 feet. What is the area of the square
Answers
Answer:
81
Step-by-step explanation:
The area of a square is its side length squared so 9^2 is 81
As x goes to positive infinity, y (the function) goes to...
Answers
Fabio is climbing a tree. He climbs up 7 feet. Then he falls back 3 feet.
Answers
Answer: Fabio is four feet above the ground level.
Step-by-step explanation:
Solve the equation for x.
(x=21)= 103
X =
Answers
Answer:
Step-by-step explanation:
I don't know if you made a mistake when typing but I am guessing you meant x - 21 = 103
(x-21) = 103 Add 21 to each side
x - 21 + 21 = 103 + 21
x = 124
Write an equation in slope-intercept form of the line that satisfies the given conditions.
Slope 5; y-intercept (0,-9)
Answers
Answer:
y = 5x + -9
Step-by-step explanation:
y = mb + b
m = 5
b = -9
Answer:
y = 5x -9
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x -9
The ratio of money in Brian's wallet to Colin's wallet one day was 7:2. Brian spent £39 that day. Brian now had £4 less than Colin. How much did Brian initially have?
Answers
Answer:
Step-by-step explanation:
Collin initially have 14
Step-by-step explanation:
Let
x------> money that Brian had initially
y------> money that Collin had initially
we know that
x/y=7/2
solve for x
x=7/2y -------> equation A
y-39=y-4 ------> equation B
substitute equation A in equation B
7/2y-39=y-4
7/2y-y=39-4
5/2y=35
y=14
Answer:
£49.
Step-by-step explanation:
Let the ratio of brain's money to Colin's is 7x : 2x.
From the given info:
7x - 39 = 2x - 4
5x = -4 + 39 = 35
x = 7
So initially Brian had 7*7 = £49.
Colin had £14.
The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29
Answers
Answer:
B) x+(2x+5)=29
Step-by-step explanation:
Micah = x
Aria =2x+5
x+(2x+5)=29
Answer:
let micah age be X and Aria age be Y then go through with question what did it say .
Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?
A.
(7, 3)
B.
(7, -3)
C.
(-7, -3)
D.
(-7, 3)
Answers
Answer:
D.
(-7, 3)
Step-by-step explanation:
Given equation
y - 3 = 4(x + 7)
points are in form of (x,y) that is first value represent value of coordinate and
second value y represents value of y coordinates.
to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.
______________________________________
A.
(7, 3)
substituting x with 7 in the equation
y - 3 = 4(7 + 7)
=> y - 3 = 4(14)
=> y - 3 = 56
=> y = 56+3 = 59
Thus, we see value of y when x is 7 is 59
which is not equal to 3 as given in option A hence option A is not correct choice
B.
(7, -3)
As seen above for x = 7 , y is 59 hence option B is also incorrect
C.
(-7, -3)
substituting x with -7 in the equation
y - 3 = 4(-7 + 7)
=> y - 3 = 4(0)
=> y - 3 = 0
=> y = 0+3 = 3
Thus, we see value of y when x is -7 is 3
which is not equal to -3 as given in option C hence option C is not correct choice
D.
(-7, 3)
As calculated above value of y when x is -7 is 3
hence
option D is correct choice.
One in 1000 adults is afflicted with a rare disease forwhich a diagnostic test has been developed. The test is such,that when an individual has the disease, a positive result willoccur 98% of the time, while an individual without the disease willshow a positive result only 1% of the time. If a randomlyselected individual is tested and the result is positive, what isthe probability that the individual has the disease?
Answers
Answer:
0.0893
Step-by-step explanation:
Let A be the event that the individual has the disease
Let Aⁿ be the event that the individual doesn't have the disease
Let B be the event of a positive result showing.
Now,
We are told One in 1000 adults is afflicted with the disease.
Thus;
P(A) = 1/1000 = 0.001
P(Aⁿ) = 1 - 0.001 = 0.999
Also,we are told that when an individual has the disease, a positive result will occur 98% of the time.
Thus;
P(A|B) = 98% = 0.98
Also, we are told that an individual without the disease will show a positive result only 1% of the time. Thus;
P(Aⁿ|B) = 1% = 0.01
Now, from fundamental rule, let's find P(B). Thus;
P(B) = [P(A|B) × P(A)] + [P(Aⁿ|B) × P(Aⁿ)]
P(B) = (0.98 × 0.001) + (0.01 × 0.999)
P(B) = 0.01097
Now, from Baye's theorem, If a randomly selected individual is tested and the result is positive, the probability that the individual has the disease is given by;
P(A|B) = [P(A|B) × P(A)]/P(B)
P(A|B) = (0.98 × 0.001)/0.01097
P(A|B) = 0.0893
A building feet tall has a shadow that is feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.
Answers
Answer:
The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
Step-by-step explanation:
Here is the complete question:
A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.
Step-by-step explanation:
Please see the attachment below for an illustrative diagram:
From the diagram
/AC/ is the height of the building
/CB/ is the length of the shadow
/AC/ = 86.53 feet
/CB/ 89.39 feet
θ is the angle of elevation
Consider triangle ABC
/AC/ is the opposite
and /CB/ is the adjacent
From
tanθ =[tex]\frac{Opposite}{Adjacent}[/tex]
Then,
tanθ = [tex]\frac{/AC/}{/CB/}[/tex]
tanθ = [tex]\frac{86.53}{89.39}[/tex]
tanθ = 0.9680
∴θ = tan⁻¹(0.9680)
θ = 44.0686°
θ = 44.07° (to the nearest hundredth of a degree)
Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
The sun is 24 degreesabove the horizon. It makes a 51 m long shadow of a tall tree. how talll is the tree
Answers
Answer:
The tree is approximately 22.707 meters tall.
Step-by-step explanation:
The geometric diagram of the problem is included below as attachment. The height of the tree is found by means of trigonometric functions:
[tex]\tan \alpha = \frac{h}{w}[/tex]
Where:
[tex]\alpha[/tex] - Elevation angle, measured in sexagesimal degrees.
[tex]h[/tex] - Height of the tree, measured in meters.
[tex]w[/tex] - Length of the tree shadow, measured in meters.
The height of the tree is cleared in the equation:
[tex]h = w\cdot \tan \alpha[/tex]
If [tex]w = 51\,m[/tex] and [tex]\alpha = 24^{\circ}[/tex], the height is:
[tex]h = (51\,m)\cdot \tan 24^{\circ}[/tex]
[tex]h \approx 22.707\m[/tex]
The tree is approximately 22.707 meters tall.
Ari received $100 as a birthday gift and has decided to save this money as well as add $20 of his own money each month. The total money Ari has saved can be estimated using the equation y = 20x + 100, where x is the number of months and y is the total amount of money saved. How much money will Ari have saved after 6 months?
Answers
Answer:
$220
Step-by-step explanation:
As per the equation:
y = 20x + 100For x = 6 we get:
y = 20*6 + 100 = 220So Ari will have saved $220 after 6 months
Answer:
14 pennies and 8 nickels
Expla-- Im smart
Solve for x.
to
118°
X°
Answers
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{62}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x ° + 118 ° = 180 ° }[/tex]
( Sum of angle in straight line )
Move 118 to right hand side and change it's sig
⇒[tex] \sf{x ° = 180 ° - 118 °}[/tex]
Calculate
⇒[tex] \sf{x = 62 °}[/tex]
Hope I helped!
Best regards!!
Today,the badminton team and the basketball team had games.the badminton team plays every 4 days and the basketball team plays every 6 days.after how many days will the teams have their games in the same day?? Please help asap im really struggling right now!
Answers
12 days
Explanation:
So what the question us a king us to do is find the LCM (lowest common multiple).
We can list all the multiples of 4 and then 6, and then find the LCM.
Multiples of 4: 4, 8, 12, 16, 20, 24
Multiples of 6: 6, 12, 18, 24
They both have 12 and 24 as their common multiple.
We have got to find the lowest common multiple, which is 12 as it is smaller than 24.
Hope this helped you!
What is the graph of the parent linear function. It shows 3 graphs & we pick one! Please help! I have to get this done ASAP! Will give lots of points for the correct answer!!!
Answers
Answer:
I'd ont now that your questions
what is the input set of a function called
Answers
Answer:
A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.
Step-by-step explanation:
Hopefully this was mindfull
The input set of a function is called the "Domain" of the function.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For any function, the values which we are putting form a set of intervals called domain.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Hence "The input set of a function is called the "Domain" of the function".
For more details about the range and domain of the function,
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A plane is 2 dimensional. Group of answer choices True False
Answers
Answer:
Step-by-step explanation:
False
The number, N, of napkins used in a restaurant is N =f(C) = 2C, where C is the number of customers.
What is the dependent variable? The independent variable?
Answers
Answer:
The dependent variable is N; Number of Napkins
The independent variable is C; Number of Customers
Step-by-step explanation:
Given
[tex]N = f(c) = 2c[/tex]
Required
Determine the dependent and independent variable
Dependent variables are variables that standalone and are not influenced by other variables;
In the given parameters
The customers, C is the independent variable
Independent variables are the opposite of the dependent variables; They depend on other variables for their own values.
In the given parameters
The number of Napkin, N is the dependent variable
What did Taylor and her schoolmates do to be certain their educational endeavors remained secret?
Answers
Answer:
They wrapped their school textbooks with paper.
Step-by-step explanation:
Susie King Taylor was born in 1848, a period when African Americans were not allowed to learn how to read and write. She lived with her grandmother and siblings. Taylor would secretly go to the house of her grandmother's friend known as Mrs. Woodhouse. For two years, she would do this secretly with her brother, wrapping her textbooks with paper so as not to be seen by the policemen.
She also made a white friend known as Katie O'Connor who promised to teach her if she did not tell her father. Katie did this for four months. Later, their landlord's son also volunteered to teach Susie.
Please help me out!!!
Answers
Answer:
[tex]= 2^2^8 \times 3^-^2^0\times 9^4[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\times\:b\right)^n=a^nb^n\\\left(2^7\times\:3^{-5}\times\:9\right)^4=\left(2^7\right)^4\times\left(3^{-5}\right)^4\times\:9^4\\=\left(2^7\right)^4\cdot \left(3^{-5}\right)^4\cdot \:9^4\\\\= 2^2^8 \times 3^-^2^0\times 9^4[/tex]
Answer:
[tex] {2}^{28}. {3}^{ - 20}. {9}^{4} [/tex]Multiply the exponent 4 by each of the exponents inside the parentheses.
Hope this helps..
Good Luck!1
What function family does f(x)=3* belong to.
Answers
Answer:
Constant family
Whats the prime factorization of 42
Answers
Answer:
3,7,2
Step-by-step explanation:
42 = 21*2
42 = 3*7*2
Ta da!
Hope this helps! :)
(pls mark brainliest)
Answer: The prime factorization is 46 = 2 times 3 times 7.
Step-by-step explanation:
So we have the number 42.
First, break 42 up into 2 and 21.
Then split those two numbers further into 3 and 7 from 21 (because they are the factors of 21).
Since you can't break it down any further, take the prime numbers from there and multiply them against each other. This is why it is called prime factorization.
Don't simplify any further and don't multiply them together. Just keep it as 46 = 2 times 3 times 7. There you go!