The tank is a rectangular tank with height of 1 1/3 ft
The volume of the tank can be calculated by multiplying the base area by the height, h
The base area, being a rectangular base can be calculated by
Lenght x breadth = lb
Therefore, the volume of the tank = base area x height = lbh
Substituting lbl, we have
\(\begin{gathered} V\text{ = lbh} \\ V=3\frac{1}{3}\text{ x 1 x 1}\frac{1}{3} \\ V=\frac{10}{3}\text{ x }\frac{4}{3} \\ V=\frac{40}{9} \\ V=4\frac{4}{9}ft^3 \\ \text{Volume of the tank = }=4\frac{4}{9}ft^3 \end{gathered}\)help i’m very lost on how to solve this and it’s due soon!
Answer:
696 square units
Step-by-step explanation:
please see attachments for description
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.
Step-by-step explanation:
To solve this equation first you expand:
14x - 6 = 9
Then solve from there:
14x = 15
x = 15/14
Hey there!
Use the distributive property and distribute 2:
2(7x-3)=9
14x-6=9
Now, add 6 to both sides (remember the golden rule of algebra)
14x=15
divide both sides by 14
x=15/14 (improper fraction)
x=1+1/14 (mixed number)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
The difference of the same side interior angles of two parrelels lines is 50 degrees find all angles
Answer:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Step-by-step explanation:
Angle 1: Same-side interior angle of Line 1
Angle 2: Same-side interior angle of Line 2
We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:
Angle 1 + Angle 2 = 180
Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:
Angle 1 - Angle 2 = 50
We can rewrite this equation as:
Angle 1 = 50 + Angle 2
Now substitute this expression for Angle 1 into the first equation:
(50 + Angle 2) + Angle 2 = 180
Combine like terms:
2Angle 2 + 50 = 180
Subtract 50 from both sides:
2Angle 2 = 130
Divide by 2:
Angle 2 = 65
Now substitute this value back into the equation for Angle 1:
Angle 1 = 50 + Angle 2
Angle 1 = 50 + 65
Angle 1 = 115
Therefore, the angles are as follows:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
the spirit club buys shirts in bulk for $8 each. they mark up the shirts 25% to sell in the school store. at the end of the year, they sell the shirts for 25% off. how much profit does the spirit club make on each shirt sold at the end of the year?
Answer:
The cost price of each shirt is $8.
They mark up the shirts 25%, which means they increase the price by (25/100) * $8 = $2.
So, the selling price of each shirt becomes $8 + $2 = $10.
At the end of the year, they sell the shirts for 25% off, which means they reduce the price by (25/100) * $10 = $2.50.
Therefore, the selling price of each shirt after the discount becomes $10 - $2.50 = $7.50.
The profit made on each shirt sold at the end of the year is the difference between the selling price and the cost price, which is $7.50 - $8 = -$0.50.
Since the profit is negative, it means that the Spirit Club is making a loss of $0.50 on each shirt sold at the end of the year.
in the simplex method, the pivot column is the column with the most negative number (to the left of the vertical bar) in the bottom row. why?
The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.
What is pivot column in simplex method?
The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.
A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.
The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.
To learn more about Simplex method's visit:https://brainly.com/question/15058261
#SPJ4
Hilary was scuba diving. She was 30 feet below the surface when she swam toward the dive platform. She dropped her camera when she was 10 feet from the surface and had to swim down 15 feet to get it. At what elevation did Hilary retrieve her camera? Negative 10 feet Negative 15 feet Negative 25 feet Negative 30 feet
Answer:
She picked up her camera at -25ft
Step-by-step explanation:
Given
\(Initial\ Position = -30ft\)
Required
Determine the position she retrieved her camera
The position where she dropped her camera is given as:
\(Position = -10ft\)
She swim down 15ft;
So, the nee position is
\(New\ Position = -10ft - 15ft\)
\(New\ Position = -25ft\)
Hence; She picked up her camera at -25ft
Note that: Negative signs represent that she is below the sea level
Answer:
C
Step-by-step explanation:
Hilary was scuba diving. She was 30 feet below the surface when she swam toward the dive platform. She dropped her camera when she was 10 feet from the surface and had to swim down 15 feet to get it. At what elevation did Hilary retrieve her camera?
-25feet
A jar contains 22 marbles, of which 5 are blue, 2 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answer:
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Explanation:
Given that;
A jar contains 22 marbles.
5 are blue and 2 are red.
The number of green, which is the remaining marbles is;
\(\begin{gathered} G=22-(5+2)_{} \\ G=22-7 \\ G=15 \end{gathered}\)So, there are 15 green marbles.
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Or
\(\frac{15}{22}\)The line passing through the points (–2, 12) and (3, –23) intersects the line passing through which of these pairs of points?
Answer:
The equation is -7x - 2
Step-by-step explanation:
Since it is 5 apart and goes down 35 dividing y 5 you'd get 7 and since it points down it's a negative
___ x 0.1 = 15. Please help!
Answer:
Step-by-step explanation:
a x 0.1 = 15
.1a = 15
a = 15/0.1
a = 150
Answer:
The answer is 150
Step-by-step explanation:
You would have to mutiply 0.1, 150 times. Then you would get 15.
Hope this helps
brainliest if correct :)
A simple random sample of 60 items resulted in a sample mean of 25. The population standard deviation is o = 7. (Round your answers to two decimal places.) (a) What is the standard error of the mean, 0-? (b) At 95% confidence, what is the margin of error?
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
Given,
Number of samples in the population, n = 60
Sample mean of the population, μ = 25
Standard deviation of the population, σ = 7
We have to find the standard error of the mean and the margin of error at 95% confidence.
Here,
a) The standard error of the mean = Standard deviation / root of sample
= σ / √n
= 7/√60
= 0.90
b) The margin error;
Zₐ/₂ × σ / √n
= Zₐ/₂ × 7/√60
= 1.96 × 0.90
= 1.76
Therefore,
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
Learn more about standard error and marginal error here;
https://brainly.com/question/17014419
#SPJ1
5. A puzzle is shown below. Which of the following is the closest to the res of the state portions of the puzzle? 2 cm I 2 cm A. 18 cm2 B. 72 cm2 C. 24 cm2 D. 60 cm
Answer:
D. 60cm²
Step-by-step explanation:
First, notice how the partially shaded squares fit perfectly into one another (the squares are perfectly cut from corner to corner). Once you match these squares to one another, you can then figure out that they add up to three full squares.
Secondly, measure how many squares there will be in the diagram after adding up the partial squares (resulting in a total of 15).
Finally, calculate the area of one of the squares (2cm x 2cm), which results in 4cm². As you have 15 total squares, multiply 4cm² by that to get the final answer of 60cm².
For a pendulum that starts from rest, the period p depends on the length l of the rod, on gravity g, on the mass m of the ball and on the initial angle θ 0
at which the pendulum is started. (i) Use dimensional analysis to determine the functional dependence of p on these four quantities. (ii) For the largest pendulum ever built, the rod is 20 m and the ball is 400 kg. Assuming that θ 0
=π/6 explain how to use a pendulum that fits on your desk to determine the period of this largest pendulum. (iii) Suppose it is found that p depends linearly on θ 0
, with p=0 if θ 0
=0. What does your result in part (a) reduce to in this case?
According to the question for ( i ) we can express the functional
dependence of \(\(p\)\) as: \(\[ p = k \cdot l^a \cdot g^b \cdot m^c \cdot \theta_0^d \]\). For ( iii ) The equation
becomes: \(\[ p = k \cdot \theta_0 \]\)
(i) To determine the functional dependence of the period \(\(p\)\) on the length \(\(l\)\) of the rod, gravity \(\(g\),\) mass \(\(m\)\) of the ball, and initial angle we can use dimensional analysis. The period of a pendulum can be expressed as:
\(\[ p = f(l, g, m, \theta_0) \]\)
Applying dimensional analysis, we consider the dimensions of each quantity. Let's assign dimensions as follows:
\(\[ [p] = T \quad [l] = L \quad [g] = LT^{-2} \quad [m] = M \quad [\theta_0] = 1 \]\)
The period \(\(p\)\) has dimensions of time (T), length \(\(l\)\) has dimensions of distance (L), gravity \(\(g\)\) has dimensions of acceleration \((LT^{-2}), mass\) \(\(m\)\) has dimensions of mass (M), and the initial angle \(\(\theta_0\)\) is dimensionless.
To form a dimensionally consistent equation, we need to ensure that the dimensions on both sides of the equation are the same. Since the equation must be dimensionally homogeneous, each term on the right-hand side must have dimensions of time (T). Thus, we can express the functional dependence of \(\(p\)\) as:
\(\[ p = k \cdot l^a \cdot g^b \cdot m^c \cdot \theta_0^d \]\)
where \(\(k\)\) is a dimensionless constant and \(\(a\), \(b\), \(c\), and \(d\)\) are the exponents that need to be determined.
(ii) For the largest pendulum with a rod length of 20 m and a ball mass of 400 kg, assuming \(\(\theta_0 = \frac{\pi}{6}\)\) , we can use a smaller pendulum that fits on our desk to determine the period of the largest pendulum. Here's how:
1. Measure the period of the small pendulum on your desk using a stopwatch or timer.
2. Record the measured period as \(\(p_{\text{small}}\)\) and note the length of the small pendulum as \(\(l_{\text{small}}\).\)
3. Calculate the ratio \(\(r = \frac{l_{\text{large}}}{l_{\text{small}}}\), where \(l_{\text{large}}\)\) is the length of the largest pendulum (20 m).
4. Use the relationship of similar pendulums, which states that the periods of similar pendulums vary with the square root of the ratio of their lengths: \(\(\frac{p_{\text{large}}}{p_{\text{small}}}= \sqrt{r}\).\)
5. Substitute the known values: \(\(p_{\text{small}}\)\) from the measurement, \(\(l_{\text{small}}\)\) from the small pendulum, and \(\(r = \frac{l_{\text{large}}}{l_{\text{small}}}\).\)
6. Solve the equation to find \(\(p_{\text{large}}\)\), the period of the largest pendulum.
(iii) If it is found that the period \(\(p\)\) depends linearly on the initial angle \(\(\theta_0\), with \(p = 0\) when \(\theta_0 = 0\),\) then the functional dependence of \(\(p\)\) on the other variables reduces to a constant. The equation becomes:
\(\[ p = k \cdot \theta_0 \]\)
where \(\(k\)\) is a constant. In this case, the period of the pendulum is solely determined by the initial angle, and the other factors such as the length of the rod, gravity, and mass of the ball do not affect the period.
To know more about variables visit-
brainly.com/question/33018644
#SPJ11
can you help this is my little sisters work
Answer:
There are 15 ounces left in the bucket.
Step-by-step explanation:
Starting with 30 ounces.
If Amy used 1/10 and Carl used 2/5 (4/10), we add that to get 5/10, or 1/2.
Half of 30 is 15, so there's your answer!
Hope this helped. :)
14-1: Obtain the hazard-free product of sums expression for the following functions: 1. FEW,X,Y,Z(1,3,4,6,7,11-13) 2. F=EA,B,C,D,E(0,4-7,9,14-17,23) + d(12,29-31)
The hazard-free POS expressions for the given functions are:
FEW,X,Y,Z(1,3,4,6,7,11-13): F = WXY'Z' + W'XY'Z' + W'X'Y'Z'To obtain the hazard-free product of sums (POS) expression for the given functions, we need to follow these steps:
Write the given functions in canonical sum of products (SOP) form.Identify the essential prime implicants.Determine the hazard-free prime implicants.Formulate the POS expression using the hazard-free prime implicants.Let's go through each function and apply these steps:
1. Function FEW,X,Y,Z(1,3,4,6,7,11-13):
The given function has the following minterms: 1, 3, 4, 6, 7, 11, 12, and 13.
Writing it in SOP form:
F = WXY'Z' + W'XYZ' + W'XY'Z' + W'XYZ + W'X'Y'Z' + WXY'Z + X'Y'Z' + X'Y'Z
Identifying the essential prime implicants:
WXY'Z'W'XY'Z'W'X'Y'Z'Determining the hazard-free prime implicants:
All prime implicants in this case are hazard-free since there are no adjacent minterms.
The hazard-free POS expression is:
F = WXY'Z' + W'XY'Z' + W'X'Y'Z'
2. Function F=EA,B,C,D,E(0,4-7,9,14-17,23) + d(12,29-31):
The given function has the following minterms: 0, 4, 5, 6, 7, 9, 14, 15, 16, 17, and 23.
It also has the don't-care conditions: 12, 29, 30, and 31.
Writing it in SOP form:
F = ABCD'E' + AB'C'D'E + AB'CD'E' + ABC'DE' + ABCDE' + A'BC'D'E' + A'BC'DE' + A'B'C'D'E + A'B'CD'E' + A'B'C'DE' + A'B'CDE'
Identifying the essential prime implicants:
ABCD'E'ABCDE'A'BC'DE'Determining the hazard-free prime implicants:
ABCD'E'ABCDE'A'BC'DE'A'B'CD'E'The hazard-free POS expression is:
F = ABCD'E' + ABCDE' + A'BC'DE' + A'B'CD'E'
So, the hazard-free POS expressions for the given functions are:
FEW,X,Y,Z(1,3,4,6,7,11-13): F = WXY'Z' + W'XY'Z' + W'X'Y'Z'F=EA,B,C,D,E(0,4-7,9,14-17,23) + d(12,29-31): F = ABCD'E' + ABCDE' + A'BC'DE' + A'B'CD'E'To learn more about hazard-free visit:
brainly.com/question/32199820
#SPJ11
In the similarity transformation of ABC to DFE, ABC was dilated by a scale factor of ?, reflected across the ?, and moved through the translation?
Answer:
B
Step-by-step explanation:
Answer:
1/2 -- X-Axis -- (X+3, Y+0)
Step-by-step explanation:
Dilated by a factor of 1/2, reflected across the X-axis, and moved through the translation of (X+3, Y+0).
I wish you the best of luck in your life, do great things never give up. Have a blessed day and life.
A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12 1 3 feet per minute for 4. 5 minutes. This depth is represented by the numerical expression: -200 12 1 3 (4. 5) Simplify the expression using the order of operations. What is the diver’s depth? -200 37 3 (4. 5) -200 55. 5 feet.
Answer:
The diver’s depth is 18.5 feet below from sea level.
Given that, A diver begins at sea level and dives down 200 feet.
He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes.
This depth is represented by the numerical expression is,
Negative sign indicate that below the sea level.
Hence, The diver’s depth is 18.5 feet below from sea level.
Scenario A. The manager at Dunder-Mifflin Paper Company interested in understanding how a company's employee benefits influence employee satisfaction. In 2020 the company implemented a new benefits package that included optional benefits such as childcare, eldercare, and retirement packages. The manager compares the employee satisfaction ratings from before and after the new benefits package was implemented.
1. What is the independent variable for Scenario A?
a. The employee benefits package
b. The work from home policy
c. Employee productivity
d. The employees at the company
e. The office layout (floorplan)
The independent variable for Scenario A is given as follows:
a. The employee benefits package.
What are dependent and independent variables?In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:
The independent variable is the input of the relation.The dependent variable is the output of the relation.In the context of this problem, we have that the input and the output of the relation are given as follows:
Input: Employee benefits package.Output: Employee satisfaction.Hence the independent variable for Scenario A is given as follows:
a. The employee benefits package.
More can be learned about dependent and independent variables at brainly.com/question/25223322
#SPJ4
We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
To learn more about p-value visit:
https://brainly.com/question/30461126
#SPJ4
what is 7829 to the nearest 1000
Answer:
8000
Step-by-step explanation:
Since 8 is bigger than 5, you can increase it
7829 to the nearest ten: 7830
7829 to the nearest hundred: 7800
Hope this helps!
The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,7829
9 → unit place
2 → tens place
8 → hundred place
7 → thousand place
In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.
Since 829 > 500 so 7829 → 8000
Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".
To learn more about rounding a digit,
https://brainly.com/question/116595
#SPJ2
Shawna bought 2 notebooks that cost $2.19 each. She paid for them with a
$5 bill. Which number sentence can be used to find how much money
Shawna received in change?
A. (2 x 5.00) + 2.19 =
B.
5.00 + (2 x 2.19) =
C.
(2 X 5.00)
2.19
OD 5.00
(2 x 2.19)
needddddd helppp pleaseeeee
Answer:
The slope is the rate of change for A, so that is 3/4.
For B, because we know it's linear and because the x values increase by one, we just find the difference between two y-values. If you were finding the difference between any two y-values, you'd divide it by the difference in x coordinates, but let's use the values under x = 0 and x = 1
The rate of change for B is 4.
Therefore, B has a greater rate of change because 4 > 3/4
find the steady state solution of the heat conduction equation
The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.
To find the steady-state solution of the heat conduction equation, follow these steps:
1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:
q = -k * A * dT/dx,
where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.
2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.
3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:
q = -k * A * dT/dx = 0.
4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.
5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.
It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.
Know more about steady-state solution here:
https://brainly.com/question/15073499
#SPJ11
The accompanying table summarizes the ratings for 6665 films made before the NC 17 rating was introduced in 1990. (The table is based on data from the Motion Picture Association of America.) If one of these movies is randomly selected, find the probability that it has a rating of PG. Rating Number G 873 PG 2505 R 2945 X 342 Note: Round using three significant figures, if necessary.
The probability that the movie has a rating of PG is given as follows:
0.376 = 37.6%.
How to calculate a probability?The parameters that are needed to calculate a probability are the two listed as follows:
Number of desired outcomes for the problem or experiment.Number of total outcomes for the problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
Out of 6665 films, 2505 are rated as PG, hence the probability is obtained as follows:
2505/6665 = 0.376 = 37.6%.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ4
50 ptssss
what is 2+2
Answer:
4!!!
Step-by-step explanation:
brainliest please?
Answer:
4
Step-by-step explanation:
I hope this helps!
Hi, i really need help with this please !!!
Answer:
(6,-7)
Step-by-step explanation:
(2+x)/2 = 4
2+x =4*2
2+x = 8
X = 8-2
X = 6
(5+x)/2 = -1
5+x = -2
X = -2-5
X = -7
suppose that quiz scores in a beginning statistics class have a mean of 7.5 with a standard deviation of 0.4 . using chebyshev's theorem, state the range in which at least 88.9% of the data will reside. please do not round your answers.
At least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
SOLUTION:
By using Chebyshev's Therem.
Chebyshev's Theorem states that for any dataset, the proportion of data within k standard deviations from the mean is at least (1 - 1/k^2).
Step 1:
Calculate the value of k.
Since we want at least 88.9% of the data within the range,
we can set up the equation as follows:
(1 - 1/k^2) ≥ 0.889
Solving for k:
1 - 0.889 = 1/k^2
0.111 = 1/k^2
k^2 = 1/0.111
k ≈ 3
Step 2:
Calculate the range using the value of k, mean, and standard deviation.
Lower Bound = Mean - k * Standard Deviation
Upper Bound = Mean + k * Standard Deviation
Lower Bound = 7.5 - (3 * 0.4) = 7.5 - 1.2 = 6.3
Upper Bound = 7.5 + (3 * 0.4) = 7.5 + 1.2 = 8.7
Using Chebyshev's Theorem, at least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
To know more about Chebyshev's Therem;
https://brainly.com/question/28480556
#SPJ11
daniel kicks a soccer ball and the trajectory is modeled by f(t) = -16t^ +32t. what would be the value of f(1)
Answer:
f(1)=16
Step-by-step explanation:
f(t)=-16t+32t
f(1)=-16(1)+32(1)
f(1)=-16+32
f(1)=16
Answer:
f(1)=16
Step-by-step explanation:
Which pair of angles does NOT represent corresponding angles?
2 points
1
2
4
3
k
5
6
8
7
O 7 and 2
8 and 4
ОО Ο Ο
3 and 7
1 and 5
Step-by-step explanation:
مرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجواب
A barn is 100 feet long and 40 feet wide (see figure). A cross section of the roof is the inverted catenary given below. Find the number of square feet of roofing on the barn. (Round your answer to the nearest whole number.)
The number of square feet of roofing on the barn is 4701 square feet if the barn is 100 feet long and 40 feet wide.
What is integration?
It is defined as the mathematical approach to calculating the smaller parts or components.
It is given that:
A barn is 100 feet long and 40 feet wide.
Find the first derivative of the given function:
After solving the above integration:
= 20(e - 1/e)
The roofing = 100(20(e - 1/e))
= 4701 square feet
Thus, the number of square feet of roofing on the barn is 4701 square feet if the barn is 100 feet long and 40 feet wide.
Learn more about the integration here:
brainly.com/question/14502499
#SPJ4
8. On your way to the Black Township of Lyles Station, ID (point L), your phone dies near a
sundown town. You set out to use a flagpole and measuring tape as a makeshift sundial. The
flagpole is 9 feet tall and casts a shadow with an angle of 56°. Use your fantastical math skills
to determine the time and estimate how much time you have until you face possible dangers.
Sunset is at 8:09 PM.
9 ft
56°
It should be noted that since sunset is at 8:09 PM, you have approximately 3.5 hours until you face possible dangers.
How to calculate the he timeIn order to use a flagpole and measuring tape as a makeshift sundial, you first need to find the angle of the sun. You can do this by measuring the angle between the shadow of the flagpole and the ground. In your case, the angle of the sun is 56°.
Once you have the angle of the sun, you can use the following formula to calculate the time of day:
time = (12 - angle) / 2
In your case, the time of day is:
time = (12 - 5) / 2
= 3.5 hours
Learn more about time on
https://brainly.com/question/26046491
#SPJ1