Answer: 291.6
I only did the area sorry.
Hope this helped <3
3. What is the value of x in the figure
below?
Answer:
3 = 14 and 4 = 8
Step-by-step explanation:
The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.
Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money she spends on food. in the summer she uses an average of 9 loaves and bread per day.
The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread
Calculation of weekly quantity of breadThe number of days the restaurant opens per week = 6 days.
The number of bread she uses everyday is = 9 loaves.
Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.
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Can you construct a quadrilateral with angle measures of 65, 65, 75 and 80 degrees? Explain your reasoning
Answer:
no all interior angles are supposed to add up to 360 these add up to 285
Step-by-step explanation:
Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is assigned two riders). How many ways can you do this?
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways \(^nN_r = \frac{n!}{(n-r)!}\),
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways \(^nN_r = \frac{n!}{(n-r)!}\),
Now,
Substituting values,
We get,
\(^5N_5 = \frac{5!}{(5-5)!}\)
We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
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At a butcher shop, Hilda bought 6 9/20 lb of beef and some pork. She left with 17 17/25 lb of meat. Express the number of pounds of pork she bought using a decimal.
Answer:
56.15
Step-by-step explanation:
First, convert \(6\frac{9}{20}\) lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now \(\frac{129}{20}\).
Now make \(17\frac{17}{25}\) lbs an improper fraction. It would be \(\frac{442}{25}\).
Now subtract the amount of pork from the total amount of meat. \(\frac{442}{25}\) - \(\frac{129}{20}\) . Find a common denominator. I'm going to use 500, although there might be something less.
\(\frac{5615}{100}\) is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15
Really hope this helped, I tried explaining well! Ask more questions if you need!
At the grocery store, peaches cost $2.80 per pound. Stacey wants to buy 20 peaches that each weigh 4 oz. How much will Stacey need to pay for the peaches? HINT: There are 16 ounces in 1 pound.
Answer:
$14.00
Step-by-step explanation:
So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.
Please please help! I'm so stuck on a simple problem
Given a line segment that contains the points A,B, & C in order, if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.
15
12
9
38
I don't know why I am having difficulties with this one but if you could walk me through that would be great
the answer is actually 58.4
the options must be wrong
Missy is getting married and addressing invitations. She has at least 140 envelopes and has addressed 26 of them. Write an inequality that describes how many more invitations must be addressed.
If She has at least 140 envelopes, the required inequality will be x + 26 ≥ 140
Inequality expressionsGiven the following information
Total number of envelopes = 140Number of envelopes that have been addressed = 26 envelopes
Number of envelopes not addressed = 140 - Number of envelopes addressed
x = 140 - 26140 = x + 26If She has at least 140 envelopes, the required inequality will be x + 26 ≥ 140
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Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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Simplify. 18m – 9v + 6v – 7m
Answer: The answer is 11m + -3v.
What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
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What is the simplest form of the fraction below?
24/36
Answer:
2/3
Step-by-step explanation:
Let S be the universal set, where:
S = {1,2,3,4,5,6,7,8,9,10}
Let sets A and B be subsets of S, where:
Set A = {1,2,3,4,5,6,9}
Set B = {2,4,6,7,8,10}
Find the following:
LIST the elements in the set (A'):
(A') = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (B'):
(B') = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
A' = {7,8,10}
B' = {1,3,59}
Given,
Let S be the universal set, where:
S = {1,2,3,4,5,6,7,8,9,10}
Let sets A and B be subsets of S, where:
Set A = {1,2,3,4,5,6,9}
Set B = {2,4,6,7,8,10}
We need to find the elements in the set (A') and (B)'
What is a complement of a set?A compliment of a set D is denoted by D' or D bar.
It means the set contains all elements in the universal set U other than the elements in set D.
Example:
U = {1,2,3,4,5,6,7,8,9}
D = {1,2,3,4,5}
D' = {6,7,8,9}
Find A' and B'
S = {1,2,3,4,5,6,7,8,9,10}
A = {1,2,3,4,5,6,9}
B = {2,4,6,7,8,10}
A' = {7,8,10}
B' = {1,3,59}
Thus,
A' = {7,8,10}
B' = {1,3,59}
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The price of a visit to the dentist is $25. If the dentist fills any cavities, an additional charge of $75 per cavity gets added to the bill. If the dentist finds x cavities, what will the cost of the visit be? Write your answer as an expression.
Solve the following systems of equations using Gaussian Elimination. 2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Find the inner product of two vectors A = (2, -3,0) and B = = (-1,0,5)
The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).
Solving the given system of equations using Gaussian elimination:
2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Matrix form of the system is
[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13
Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1
Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4
Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5
Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5
Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6
The solution is (x,y,z) = (6,-5,5)
Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).
The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by
A·B = |A||B|cosθ
Given,A = (2, -3,0) and B = (-1,0,5)
Magnitude of A is |A| = √(2²+(-3)²+0²) = √13
Magnitude of B is |B| = √((-1)²+0²+5²) = √26
Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2
Cosine of the angle between A and B is
cosθ = A·B / (|A||B|)
cosθ = -2 / (√13×√26)
cosθ = -2 / √(13×26)
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Julian has 10 apples and he gives 2 apples to his friends about how many apples he has left.
In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answer:
YZ , XZ , XY
Step-by-step explanation:
first lets find angle Z
angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)
27 + 48 + angle z=180
75 + angle z=180
angle z =180-75
angle z =105 degree
side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY
first YZ then XZ and XY.
5. (a) How many distinct 4-digit odd natural numbers are there? (Remark. 1 is not a four digit odd number.) (b) How many of these numbers have distinct digits? (That is none of their digits are equal.
There are 1125 distinct 4-digit odd natural numbers.
There are 2520 4-digit odd numbers with distinct digits.
(a) To determine the number of distinct 4-digit odd natural numbers, we need to consider the possible values for each digit.
For the thousands place (the leftmost digit), it cannot be zero since it is a 4-digit number. Hence, there are 9 options (1, 2, 3, 4, 5, 6, 7, 8, 9) for this digit.
For the hundreds, tens, and units places (the remaining three digits), they can take any odd digit (1, 3, 5, 7, 9) since we want odd numbers. So, there are 5 options for each of these three digits.
To calculate the total number of distinct 4-digit odd numbers, we multiply the number of options for each digit:
Number of options for thousands place = 9
Number of options for hundreds place = 5
Number of options for tens place = 5
Number of options for units place = 5
Total number of distinct 4-digit odd numbers = 9 × 5 × 5 × 5 = 1125
(b) To find the number of 4-digit odd numbers with distinct digits, we need to consider the possible values for each digit while ensuring that no digit is repeated.
For the thousands place, the same as before, there are 9 options (1, 2, 3, 4, 5, 6, 7, 8, 9) since it cannot be zero.
For the hundreds place, we have 8 options (excluding the digit used for the thousands place).
For the tens place, we have 7 options (excluding the digits used for the thousands and hundreds places).
For the units place, we have 5 options (odd digits).
To calculate the total number of 4-digit odd numbers with distinct digits, we multiply the number of options for each digit:
Number of options for thousands place = 9
Number of options for hundreds place = 8
Number of options for tens place = 7
Number of options for units place = 5
Total number of 4-digit odd numbers with distinct digits = 9 × 8 × 7 × 5 = 2520
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I NEED THE ANSWER RIGHT NOWWWW
Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:
0.80x − $5.00 ≤ $65.00.
Which inequality represents all possible solutions for x?
A. x ≤ $75.00
B. x ≤ $76.25
C. x ≤ $86.25
D. x ≤ $87.50
Answer:
All of them would be under $65
Answer:
D
Step-by-step explanation:
please help asap tysm 3
\( \\ \)
To find:Second Diagonal of rhombus\( \\ \)
Solution:\( \\ \)
We know:-
\( \bigstar \boxed{ \rm Area \: of \: rhombus = \frac{Diagonal_1 \times Diagonal_2}{2} }\)
By using this formula we can find second Diagonal as area of first Diagonal already given.
\( \\ \)
So:-
\( \\ \)
\( \leadsto\sf 0.15 = \dfrac{0.5 \times Diagonal_2}{2}\)
\( \\ \\ \)
\( \leadsto\sf 0.15 = \dfrac{5 \times Diagonal_2}{2 \times 10}\)
\( \\ \\ \)
\( \leadsto\sf 0.15 = \dfrac{\cancel5 \times Diagonal_2}{2 \times \cancel{10}}\)
\( \\ \\ \)
\( \leadsto\sf 0.15 = \dfrac{ Diagonal_2}{2 \times 2}\)
\( \\ \\ \)
\( \leadsto\sf 0.15 = \dfrac{ Diagonal_2}{4}\)
\( \\ \\ \)
\( \leadsto\sf \dfrac{ Diagonal_2}{4} = 0.15 \)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = 0.15 \times 4\)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = \dfrac{15}{100} \times 4\)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = \dfrac{15}{\cancel{100}} \times\cancel 4\)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = \dfrac{15}{25} \times1\)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = \dfrac{15}{25} \)
\( \\ \\ \)
\( \leadsto\sf Diagonal_2 = \dfrac{3}{5} \)
\( \\ \\ \)
\( \leadsto\bf Diagonal_2 = 0.6 \: feet\)
\( \\ \)
\(\therefore\underline{ \textsf{ \textbf{Diagonal$_2$ of rhombus \: = \red{0.6 feet}}}}\)
Given that secA = 13/5, what is the value of cosA
Answer:
cos A = 5/13
Step-by-step explanation:
sec A = 1/cos A
sec A = 1/cos A 13/5 = 1/cos A
cos A = 5/13
If
the forecast inflation is 1.3% for Japan, and 5.4 % for the US, the
euro-yen deposit rate is 4.4%, calculate the euro-dollar deposit
rate according to the fisher effect
The euro-dollar deposit rate is 8.5% according to the Fisher Effect.
The Fisher Effect relates to interest rates, inflation, and exchange rates. It proposes a connection between the nominal interest rate, real interest rate, and the expected inflation rate.
The nominal interest rate is the actual interest rate that you get on a deposit account, whereas the real interest rate is the nominal rate after accounting for inflation.
The Fisher effect is given as follows:
nominal interest rate = real interest rate + expected inflation rate.
The given information is:
Forecast inflation rate of Japan = 1.3%
Forecast inflation rate of the US = 5.4%
Euro-yen deposit rate = 4.4%
According to the Fisher Effect formula, the euro-dollar deposit rate can be calculated as follows:
euro-dollar deposit rate = euro-yen deposit rate + expected inflation rate of the US - expected inflation rate of Japan Now substituting the given values, we get:
euro-dollar deposit rate
= 4.4 + 5.4 - 1.3
= 8.5%
Therefore, the euro-dollar deposit rate is 8.5% according to the Fisher Effect.
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According to a building code, a wheelchair ramp must be at least 12 ft long for each foot of height. If the height of a newly constructed ramp is to be ft, find the minimum acceptable length.
Answer:
ok so 6ft would be the answer
Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. Its position is labeled as _____.
Answer:
Its position is labeled as -5
Step-by-step explanation:
For elevator 1.
Its position after moving 10 ft up is;
p1 = r + 10
r = reference position.
given that p1 = +10
+10 = r + 10
r = 10 - 10 = 0
The reference position (ground floor) is zero
Since the Elevator 2 moves downward from the reference position (ground floor), it moves in the negative direction.
Its position can be written as;
p2 = r - 5 = 0 - 5 (since r = 0)
p2 = -5
Its position is labeled as -5
consider an undirected random graph of eight vertices. the probability that there is an edge between a pair of vertices is 1/2. what is the expected number of unordered cycles of length three?
In this random graph, we expect to find approximately 14 unordered cycles of length three.
In an undirected random graph of eight vertices, where the probability of an edge existing between any pair of vertices is 1/2, we can calculate the expected number of unordered cycles of length three.
To determine the expected number, we need to analyze the probability of forming a cycle of length three through any three vertices.
To form a cycle of length three, we must select three distinct vertices. The probability of selecting a particular vertex is 1, and the probability of not selecting it is (1 - 1/2) = 1/2. Hence, the probability of selecting three distinct vertices is (1)(1/2)(1/2) = 1/4.
Since we have eight vertices, the number of ways to choose three distinct vertices is given by the combination formula C(8, 3) = 8! / (3! * (8 - 3)!) = 56.
Therefore, the expected number of unordered cycles of length three is the product of the probability and the number of ways to choose the vertices: (1/4) * 56 = 14.
Therefore, in this random graph, we expect to find approximately 14 unordered cycles of length three.
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Help me find the measure of the missing angle.
A.85
B.215
C.145
D.45
Answer:
85
Step-by-step explanation:
115-30 = 85
ur looking for ILM which bisects KLM since KLM is 115 and the other piece that makes up KLM (KLI) is 30 all u have to do is subtract
An example of a math pattern that ends with 3.28
but not ( 0.41, 0.82, 1.64, 3.28) but i want another one with 3.28
thanks
Answer:
26.24, 13.12, 6.56, 3.28
Step-by-step explanation:
Divide the previous term with 2 to get next term. here is another pattern that is ending with 3.28
pls help would mean alott if you can!
due rnnnn
Answer:
4,000
Step-by-step explanation:
which equation has the same solution as 2x^2+-16x10=0
Answer:
Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.