How many acres are in a trapezoidal shaped field that measures 8 chains on base 1, 11.8 chainson base 2, and 4.5 chains on width?
Answers
Question:
Solution:
Data of the problem:
1) Base 1 measures 8 chains.
2) Base 2 measures 11.8 chains.
3) Width of the Trapezoid is 4.5 chains.
Now, remember that the area of a trapezoid is given by the following formula:
\(A\text{ = }\frac{(a+b)}{2}\text{ x h}\)where a and b are the bases and h is the width. Then, replacing the previous data in this equation we obtain:
\(A\text{ = }\frac{(8+11.8)}{2}\text{ x (4.5) = }44.55\text{ chains}\)now, 1 chain is equivalent to 0.1 acres, then we have that 44.5 chains are:
\(44.5\text{ chains ( }\frac{0.1\text{ acres}}{1\text{ chain}}\text{) = }4.45\text{ acres}\)Then, we can conclude that the correct answer is:
4.45 acres.
Related Questions
Yoko needs 200 copies of her resume printed. Dakota Printing charges $12.50 for the first 300 copies and $9 for every 100 additional copies. If the number of sets of 100 resumes is represented by r, which piecewise function represents the cost of printing
Answers
Answer:
The second choice.
Explanation:
If we call r the number of 100 copies, then the cost of printing the first 300 copies is represented by
\(c(r)=12.5,r\le3\)The above says that if we print less than or equal to 3 sets of 200 pages, then the cost of printing will be $12.50.
If we print more than 3 sets of 100 pages, i.e r > 3, then the price of printing is
\(c(r)=12.5+9(r-3),r>3\)Therefore, we can combine the two sets conditions into one and say
\(c(r)=\begin{cases}12.5,r\le3 \\ 12.5+9(r-3),r>3\end{cases}\)which is our answer!
koby took$43 to movie theater.if he paid for 3 tickets that each cost d dollars, he will have 43-3d left. how much does he have left if the tickets cost $9.75 each?
Answers
2) 43 - 29.25 = $13.75
The answer is $13.75
Koby has $13.75 left over after buying the tickets.
To find this answer, you use the equation given (43 - 3d) and fill in $9.75 for the variable "d". The equation now says "43 - 3 * $9.75", which you simply solve using PEMDAS.
3 * $9.75 = $29.25
$43 - $29.25 = $13.75
Thus meaning $13.75 is your answer. I hope this helps!
What is the volume of the prism 2.4in 1.5in 8in
Answers
Answer:
The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.
10. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle.
Round answers to the nearest tenth of a centimeter.
O 44.4 cm, 11.1 cm
11.1 cm 49 cm
O 24 cm 49 cm
444 cm, 3.2 cm
Answers
The longest and shortest possible lengths of the third side of the triangle are 4.9 cm and 11.1 cm.
What does the Angle Bisector Theorem state?It states that the opposite side of a triangle is divided into segments by each angle bisector that are proportional in length to the adjacent sides.
Given:
An angle bisector divides the opposite side of the triangle into segments 6 cm and 4 cm long.
Second side of the triangle is 7.4 cm.
We have to calculate the longest and shortest possible lengths of the third side of the triangle.
By Angle Bisector Theorem we can solve this problem,
In the triangle ABC, AD is the angle that bisects angle A, placing D on side BC.
Now, BD / DC = AB / AC
BC = 6 + 4 = 10 cm
Angle bisector divides BC into 2 segments,
BD = 6 cm
CD = 4 cm
If AB = 7.4 cm,
6/4 = 7.4 / AC
AC = 7.4(4) / 6
AC = 29.6 / 6
AC = 4.94 cm (shortest possible length of the third side of the triangle)
If AC = 7.4 cm
6/4 = AB/7.4
AB = 6(7.4)/4
AB = 44.4/4
AB = 11.1 cm (longest possible length of the third side of the triangle)
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Choose the correct graph of the function
Answers
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
Answers
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Factor this polynomial expression 10x^2-7x-12
Answers
Answer:
Your Answer is A.
Step-by-step explanation:
Find the z-score for the given shaded region under the standard normal distribution. Round your answer to
two decimal places.
Shaded Area = 0.77
ين
Z-score=
-2
z
2
3
९
Answers
Use a calculator and press 2nd vars and then invNorm where you’ll put your shaded area and have mean = 0, and standard deviation = 1
A borrower purchased a car for $21,750 and made a down payment of $2,275. The borrower was approved for a five-year installment loan with an interest rate of 9.75% and monthly payments of $411.39. What is the total cost of the car after five years? $32,353.13 $24,683.40 $26,958.40 $28,969.06
Answers
The total cost of the car after five years is $28,969.06.
How to find the total cost of the car after five years ?
The total cost of the car after five years will be the sum of the down payment, the total of the monthly payments, and any interest paid over the five-year period.
First, we need to calculate the total amount of interest paid over the five-year period.
The loan amount is the difference between the purchase price and the down payment:
$21,750 - $2,275 = $19,475
The interest rate is 9.75% per year, or 0.8125% per month (9.75% / 12).
Using the formula for the monthly payment of an installment loan, we can calculate the total interest paid over the five-year period:
PV = $19,475
i = 0.8125%
n = 60 (5 years x 12 months per year)
Payment = $411.39
Payment = PV x i / (1 - (1 + i)^(-n))
$411.39 = $19,475 x 0.008125 / (1 - (1 + 0.008125)^(-60))
$411.39 = $19,475 x 0.008125 / 0.423654
$411.39 =
The total interest paid over the five-year period is:
$373.90 x 60 = $22,434
Now we can calculate the total cost of the car:
$2,275 (down payment) + $411.39 x 60 (total of monthly payments) + $22,434 (total interest paid) = $28,969.06
Therefore, the total cost of the car after five years is $28,969.06.
So, the correct answer is $28,969.06.
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solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answers
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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Esperanza decides to sell dolls made from materials she already has in her house. She sells dolls for 3 dollars each.
Answers
The rate of change = change in profit/change in dolls sold
Let us use the values in the first two columns to get our slope.
When amount of doll sold S1 = 1, profit P1 = $3
When amount of doll sold S2 = 2, profit P2 = $6
Rate of change = P2-P1/S2-S1
Rate of change = $6-$3/2-1
Rate of change = 3/1
Rate of change = 3
Hence the rate of change (slope) is 3
Note that no matter the two columns you decide to use, you will still get the same value for your slope whcih is 3
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answers
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
Fill in the missing number/percentage
Answers
75% is the missing percentage in x% of 1000000 = 750000.
Define percentage.A fraction of a number in hundredths, or fractions with a denominator of 100 (such as 5/100), can be expressed as a percentage, also known as a %. The Latin phrase per centum, which means "per hundred," or the French word pour cent, which has a similar meaning to the Latin word, may have been the source of the word %. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Percent is a unit of measurement.
Given,
Let x be the missing percentage,
x% of 1000000 = 750000
Dividing,
x% = 750000/1000000
x/100 = 0.75
Cross multiplying,
x = 75
75% is the missing percentage in x% of 1000000 = 750000.
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(18x³ - x² + 9x - 3) and (5x³ + 6x² - 14x +11) Add the polynomials (Provide only the coefficients. If a coefficient is negative, include the negative sign on the left side of the number. Do not type 'plus' sign)
Answers
Answer: put it in a caculator
Step-by-step explanation:
Combine 18x^3 and 5x^3.
23x³ - x² + 9x-3 + 6x² - 14x+11Combine x^2 and 6x^2.
23x³ + 5x² + 9x -3 - 14x + 11Combine 9x and −14x.
23x³ + 5x² + -5x -3 + 11Add −3 and 11.
23x³ + 5x² -5x + 8Surveys at a local coffee shop show that 80% of customers order some kind of coffee drink. If 15 customers are in the store now find the probability that a) none order a coffee drink. b) all order a coffee drink. c) at least 10 order a coffee drink. d) no more than 4 order a coffee drink
Answers
Using binomial probability distribution, the probability that none of the 15 customers order a coffee is 3.28 * 10^-11 and the probability that all 15 customers order a coffee is 0.035
What is the probability that none of the 15 customers order a coffee drink?a) To find the probability that none of the 15 customers order a coffee drink, we use the binomial probability formula:
P(X = 0) = (0.2)^15 ≈ 3.28 * 10^-11
b) To find the probability that all 15 customers order a coffee drink:
P(X = 15) = (0.8)^15 ≈ 0.035
c) To find the probability that at least 10 customers order a coffee drink, we use the complement rule:
P(X ≥ 10) = 1 - P(X < 10)
We can use the cumulative binomial probability distribution to calculate P(X < 10):
P(X < 10) = Σ P(X = k), where k = 0, 1, ..., 9
Using the binomial probability formula, we get:
P(X < 10) = Σ (15C k)(0.8)^k (0.2)^(15-k), where k = 0, 1, ..., 9
Using a calculator or computer program, we find that P(X < 10) ≈ 0.057. Therefore,
P(X ≥ 10) ≈ 1 - 0.057 ≈ 0.943
So the probability that at least 10 customers order a coffee drink is approximately 0.943.
d) To find the probability that no more than 4 customers order a coffee drink, we use the cumulative binomial probability distribution:
P(X ≤ 4) = Σ P(X = k), where k = 0, 1, 2, 3, 4
Using the binomial probability formula, we get:
P(X ≤ 4) = Σ (15C k)(0.8)^k (0.2)^(15-k), where k = 0, 1, 2, 3, 4
Using a calculator or computer program, we find that P(X ≤ 4) ≈ 0.0006
So the probability that no more than 4 customers order a coffee drink is approximately 0.0006.
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The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answers
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
Answers
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?
Answers
The experiment is not a binomial experiment.
What is a binomial experiment?
A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.
The conditions for a binomial experiment include:
1. Each trial should be classified either as a success or a failure.
2. There are a fixed number of observations
3. The trials are independent.
4. The number of trials are fixed.
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find the area, seventh grade math problem please help
Answers
Answer:
78 ft²
Step-by-step explanation:
\(A=\frac{a+b}{2} h\)
\(A=\frac{11+15}{2}6\)
78
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.
Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.
Answers
Answer:
H₀: μ = 550 vs. Hₐ: μ < 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.
A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.
Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.
Can someone help me with this?
Answers
Answer:
Step-by-step explanation:
We need to find the error first.
We can do this by subtracting, to find the difference
2.4-1.9 = 0.5
the difference, or error, is 0.5
Now we find a percentage that describes how much more 2.4 is than 1.9
We can create an equation to solve this
2.4 = 1.9 Times x
Now we need to find the value of x
x= 1.2632
now we double check
1.9 Times 1.2632 = 2.4
Now we round to a whole number
1.2632 = 1
To convert a number to a percentage, you need to bring the number over a decimal point.
so 1 becomes .1, or 10 percent
Elizabeth and James went to the school picnic to eat lasagna. The teachers cut the pan of lasagna into 12 equal portions. Elizabeth took 2 pieces and James took 4 pieces from the whole square pan. What fraction of lasagna did Elizabeth take? What fraction did james take?
4th Grade Math (Fractions)
Answers
James took 4/12
Avery's recipe ask for 100ml of milk. She only has a 10ml measuring cup. How many times will she need to fill her measuring cup to get the right amount of milk for her recipe
Answers
Ten times to get the required amount of 100ml of milk for her recipe.
Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.
Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.
To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:
100ml ÷ 10ml = 10
This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.
Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.
In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t
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Simplify the following expression.
74.6 × 0.89
A.
59.2
B.
66.394
C.
5,909.066
D.
59.68
Answers
Answer:
B. 66.394
Step-by-step explanation:
Find the sums of the interior angles and the sum of the measures of the exterior angles of the polygon. Please answer 1, 2, and 3, 30 points!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The sum of the internal angles of the polygons are
a) The sum is A = 540°
b) The sum is A = 360°
c) The sum is A = 1800°
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of the internal angles of a polygon be represented as A
Now , the value of A is
The sum of exterior angle of n polygon is = 360°
Now ,
a)
The number of sides of the polygon = 5 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 5 in the equation , we get
nθ = 180° ( 5 - 2 )
nθ = 180° x 3
nθ = 540°
b)
The number of sides of the polygon = 4 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 4 in the equation , we get
nθ = 180° ( 4 - 2 )
nθ = 180° x 2
nθ = 360°
c)
The number of sides of the polygon = 12 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 12 in the equation , we get
nθ = 180° ( 12 - 2 )
nθ = 180° x 10
nθ = 1800°
Hence , the sum of the internal angles of the polygon is solved
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based on his past record, luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arrow. assume that in one practice luke will attempt 5 shots of the arrow and that each shot is independent from the others. let the random variable x represent the number of times he hits the inner ring of the target in 5 attempts. the probability distribution of x is given in the table. P(X) 0 000001 0,00045 0.00810 0.07290 03280S 0.59049
What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X?
(A) 0.40951
(B) 0.50000
(C) 0.59049
(D) 0.91854
(E) 0.99144
Answers
The probability that Luke will touch the target's inner ring fewer times than the mean of X out of five attempts is 0.40951.
What is probability ?Probability refers to possibility.
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
According to our question-
P(target) equals 0.90
Let the random variable X stand in for the number of times the arrow is fired at the target's ring.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
Hence, The probability that Luke will touch the target's inner ring fewer times than the mean of X out of five attempts is 0.40951.
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Convert this intercept form equation, y=-8.3/100(x+1)(x-5), into standard form, with steps.
Answers
Answer:
4x+5y=15
Step-by-step explanation:
Btw brainliest me plss
convert 3 and 3/4 years to months
Answers
———————————-
3 years = 12 x 3 = 36
3/4 of 12 is 9 months
36 + 9 = 45 months
The answer is 45 months
tom and jerry have one day to work, but two tasks to focus on: building chairs and tables. if tom spends all day building chairs, he will make 16 chairs. if he instead devotes his day to building tables, tom will make 4 tables. if jerry spends his day building chairs, he will make 14 chairs; if he spends the day building tables, he will make 7 tables. based on their production possibilities frontiers, tom and jerry:
Answers
As per the unitary method, there are 10 chairs and there are 2 tables.
In math the term called unitary method is known as a process of finding the value of a single unit, and based on this value we can find the value of the required number of units.
Here we have given that tom and jerry have one day to work, but two tasks to focus on building chairs and tables.
Here we also know that if tom spends all day building chairs, then he will make 16 chairs.
And if he instead devotes his day to building tables, then tom will make 4 tables.
Where as if jerry spends his day building chairs, then he will make 14 chairs on the other hand if he spends the day building tables, then he will make 7 tables.
Based on the given details, here by using the unitary method, for one day, he will product 10 chairs and 2 tables.
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Help help math math math
Answers
hope this helped
Answer: T-R
Step-by-step explanation: