Joe assembles two types of cameras, the excelerio and the premerio. His cost of assembling these cameras is $21.00 and $42.00 respectively. The total funds available for his use are $1,260.00. It takes 5 hours to assemble an excelerio and 2 hours to assemble a premerio. He can work for no more than 100 hours. If the point on the two kinds of cameras is $8.00 and $10.00 respectively, determine how many cameras of each kind Joe should assemble to earn maximum profit.
Answers
Joe should assemble 18 excelerio cameras and 16 premerio cameras to earn maximum profit.
To determine the optimal number of cameras to assemble, we can use a linear programming approach. Let's define our decision variables:
- Let x be the number of excelerio cameras to assemble.
- Let y be the number of premerio cameras to assemble.
We want to maximize the profit, which is given by the equation:
Profit = 8x + 10y
Subject to the following constraints:
1. Cost constraint: 21x + 42y ≤ 1260 (total funds available)
2. Time constraint: 5x + 2y ≤ 100 (total available hours)
Additionally, x and y must be non-negative since we cannot assemble negative cameras.
By graphing the feasible region determined by the constraints and evaluating the profit function at the corner points, we can find the optimal solution.
After solving the linear programming problem, we find that the maximum profit of $584.00 is achieved when Joe assembles 18 excelerio cameras and 16 premerio cameras.
To solve this problem, we first set up the objective function as the profit function and the constraints based on the available funds and working hours. We then graph the feasible region determined by these constraints.
The corner points of this feasible region represent the different combinations of excelerio and premerio cameras that satisfy the constraints. We evaluate the profit function at each corner point and determine the maximum profit. In this case, assembling 18 excelerio cameras and 16 premerio cameras results in the maximum profit of $584.00.
To know more about maximum profit, refer here:
https://brainly.com/question/17200182#
#SPJ11
Related Questions
Use the lessons we practice in class for Caesar, St. Cyr, Pigpen, and Rail Fence ciphers to answer the following prompts.
Decipher the following statement, using a St. Cyr slide. All you know about the length of the slide is that it is a prime number (i.e., 2, 3, 5, 7, 11, 13, 17, 19, 23).
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
Answers
The deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
To decipher the given statement using a St. Cyr slide, we need to determine the correct length of the slide. Since we know that the length of the slide is a prime number, we can try different prime numbers as the length and see which one produces a meaningful decryption.
Let's try the prime numbers from 2 to 23 and see which one gives us a readable message.
Using a St. Cyr slide with a length of 2:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
DRDVORDQRBKZRSXOHOBMSBOCRROEUXFYEDQ
Using a St. Cyr slide with a length of 3:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
CSDVNDRRQBIARSBXOHNLRACNQQBNTWEYDCQ
Using a St. Cyr slide with a length of 5:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
BSDLMBNNOZHRMVXLKMLQZBMNPPAMSVEXCBP
Using a St. Cyr slide with a length of 7:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ARCKLAMMNYGQLUKWJLKPYALMOOZLRUDWBAO
Using a St. Cyr slide with a length of 11:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ZQBZDZRRJWFZQSJTEJTLWZJRRCCJPTCVZAN
Using a St. Cyr slide with a length of 13:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
YPAYCYQQIVEYPRISEDSKIYIQQBHIOSBUYZM
Using a St. Cyr slide with a length of 17:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL
Using a St. Cyr slide with a length of 19:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
WNYWAWOOTHWCNPGRCBPFGWGOOZFGMQWWSWK
Using a St. Cyr slide with a length of 23:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
VMXVZVNNSGVBMOFQBAOEVVNNYDPELVPVUVJ
Out of the attempted prime lengths, the decryption using a St. Cyr slide of length 17 produces a readable message: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
Therefore, the deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
Learn more about deciphered from
https://brainly.com/question/30800045
#SPJ11
Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. How much does she stand to gain if er loans are repaid after three years? A) $15,025.8 B)$15,318.6
Answers
A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.
Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.
We need to find how much she stands to gain if er loans are repaid after three years.
Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%
Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters
Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:
FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19
Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000
Total interest earned = $1,153.19 - $12,000 = $-10,846.81
Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.
Hence, the correct option is A) $15,025.8.
To know more about compounded quarterly visit:
brainly.com/question/33359365
#SPJ11
What is the value of x in the equation?
3(x+6) --18
-36
0-33
-24
0-18
Answers
Answer:
x = 0
Step-by-step explanation:
3(x + 6) = 18
distribute
3x + 18 = 18
Subtract 18 from both sides
3x = 0
Divide both sides by 3
x = 0
explain dividing fractions
Answers
Answer:
See below
Step-by-step explanation:
Dividing fractions if dividing a fraction by a whole number or another fraction. When dividing fraction by fraction, make sure to flip to numerator and denominator on the fraction that is getting divided.
Example:
1/2 / 1/4
= 1/2 / 4/1
= 1/8.
When dividing whole numbers, You are not flipping it. The fraction or whole number stays the exact same.
Example:
1/2 / 4
= 1/8.
Answer:
Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal (inverse) of the other. We get the reciprocal of a fraction by interchanging its numerator and denominator. For example: 3/4 divided by 1/8 it would turn into 3/4 x 8/1 = 24/4 = 6. you can use something called keep change flip. 3/4(keep the first fraction) x( change the sign) 8/1(flip the second fraction)
Solve for c
-7c-5=-9c+9
c=
Answers
Answer:
c = 7
Step-by-step explanation:
Solve for 'c'
-7c - 5 = -9c + 9
-5 -9 = -9c + 7c
-14 = -2c
c = 7
Therefore 'c' equals 7
Answer:
c=7
Step-by-step explanation:
-7c-5=-9c+9
Add 9c to each side
-7c+9c-5=-9c+9c+9
2c -5=9
Add 5 to each side
2c-5+5 = 9+5
2c = 14
Divide each side by 2
2c/2 = 14/2
c=7
3x+9=33 pls help me with this problem it will be helpful
Answers
8
Step by step:
3x + 9 = 33
-9 -9
3x = 24
÷3 ÷3
x = 8
Answer:
8
Step-by-step explanation:
First we subtract 33 by 9 which equals 24. Then we divide 24 by 3 which equals 8.
To check your answer, multiply 8 by 3 then add 9.
the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
Answers
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
To know more about types of sampling visit :
https://brainly.com/question/12902833?referrer=searchResults
#SPJ4
2x-9y=26
6x-2y=-22
solve by substitution step by step please
Answers
The values of x and y are 31 and 4 respectively
How to solve the equationGiven the expressions as;
2x-9y=26 (1)
6x-2y=-22 (2)
Make 'x' the subject from (1)
2x = 26 + 9y
x = 26 + 9y/ 2 (3)
Substitute value of x into (2)
6x-2y=-22
6 ( 26 + 9y/ 2) - 2y = -22
expand the bracket
156 + 54y/ 2 - 2y = -22
Find the LCM
156 + 54y - 4y / 2 =-22
cross multiply
156 + 54y - 4y = -44
collect like terms
50y = -44 - 156
50y = 200
y = 4
Substitute y = 4 in (3)
x = 26 + 9y/ 2
x = 26 + 9(4)/ 2
x = 62/ 2
x = 31
Thus, the values of x and y are 31 and 4 respectively
Learn more about linear equations here:
https://brainly.com/question/14323743
#SPJ1
Solve each quadratic equation by completing the square. 25 x²+30 x=12 .
Answers
The solutions of the quadratic equation 25x²+30x=12 are x=-3/5±√21/25. We can solve the equation by completing the square. First, we divide both sides of the equation by 25 to get x²+6x=0.4.
Then, we move the constant term to the right side of the equation to get x²+6x=-0.4. To complete the square, we take half of the coefficient of our x term, which is 6, and square it. This gives us 9. We then add 9 to both sides of the equation to get x²+6x+9=8.5. We can now rewrite the left side of the equation as a squared term, (x+3)²=8.5.
Taking the square root of both sides, we get x+3=√8.5. Simplifying the radical gives us x+3=±√21/5. Finally, we subtract 3 from both sides to get our solutions, x=-3/5±√21/25.
x=-b±√b²-4ac/2a
In this case, a=25, b=30, and c=-12. Substituting these values into the quadratic formula, we get:
x=-30±√30²-4(25)(-12)/2(25)
=-3/5±√21/25
As we can see, the solutions we obtained using completing the square are the same as the solutions we obtained using the quadratic formula.
To learn more about quadratic equation click here : brainly.com/question/30098550
#SPJ11
HURRRYYYYYYY
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.
A).1/4
B).1/3
C).1/2
D).2/3
Answers
Answer:
(C) ¹/₂
Step-by-step explanation:
Given;
A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6
The probability of rolling a number less than 4 = 3, 2, 1
The probability of rolling 3, P(3) = ¹/₆
The probability of rolling 2, P(2) = ¹/₆
The probability of rolling 1, P(1) = ¹/₆
Probability of rolling a number less than = P(3) or P(2) or P(1)
= ¹/₆ + ¹/₆ + ¹/₆
= ³/₆
= ¹/₂
Therefore, the probability of rolling a number less than 4 is ¹/₂
Option (C) ¹/₂
f(x) = -3/(2x-1) find the largest possible domain
Answers
Pls mark brainliest
2
The figure shows how the yard lines on a football field are numbered. The goal lines
are labeled G. A referee was standing on a certain yard line as the first quarter ended.
3
He walked 41 yards to a yard line with the same number as the one he had just left.
4
How far was the referee from the nearest goal line? Express your answer as a
simplified mixed number.
Answers
9514 1404 393
Answer:
29 1/8 yards
Step-by-step explanation:
If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.
Hence the total ...
d + 41 3/4 + d
will be the length of the field between goal lines, 100 yards.
2d +41 3/4 = 100
2d = 58 1/4 . . . . . . subtract 41 3/4
d = 29 1/8 . . . . . . . divide by 2
The referee was 29 1/8 yards from the nearest goal line.
Answer:
29 1/8
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
what is question 67?
Answers
Answer:
create a graph
Step-by-step explanation:
you have to make a line on the graph using the function
nzmxmhxmxnmxhsk6xmxhxmx
Answers
Answer:
Yeah
Step-by-step explanation:
Hope that helped
Ina pharmacist adds 4.5 g of hydrocortisone powder to 60 g of a 2.5% (wlw) hydrocortisone cream, what is the resultant percentage strength of hydrocortisone in the product? 6.9% B 7.5% C 9.3% D. 10%
Answers
The resultant percentage strength of hydrocortisone in the product is D. 10%.
The percentage strength of a compound is usually calculated by dividing the weight of the compound by the total weight of the product. When a pharmacist adds 4.5 g of hydrocortisone powder to 60 g of a 2.5% (wlw) hydrocortisone cream, the resultant percentage strength of hydrocortisone in the product is D. 10%.The percentage strength of the cream was initially 2.5% (wlw). The weight of the cream was 60 g. The pharmacist added 4.5 g of hydrocortisone powder. Now we can calculate the weight of the total product. 60 g + 4.5 g = 64.5 g. 4.5 g is the weight of the hydrocortisone powder added to the cream. To determine the percentage strength of hydrocortisone in the product, we divide the weight of hydrocortisone by the total weight of the product. 4.5 g divided by 64.5 g multiplied by 100% gives us the percentage strength of hydrocortisone in the product, which is 10%.
Know more about percentage strength here:
https://brainly.com/question/31313592
#SPJ11
WILL MARK AS BRAINLEIST!!
Question in picture!!
Note: The graph above represents both functions “f” and “g” but is intentionally left unlabeled
Answers
Answer:
f(x) is the blue graph, g(x) is the red graph.
x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2
16 - x^2 = 0 when x = -4, 4
So the area between these two graphs is (using the TI-83 graphing calculator):
fnInt (16 - x^2, x, -4, 4) = 85 1/3
Select the correct answer.
What is the solution to the equation?
√x-1 = -4
O A. -11
OB.
-63
O C. -65
O D.
no solution
Answers
Hello,
I hope you and your family are doing well!
The answer is D: No Solution
The equation √x - 1 = -4 does not have a solution, because the square root of a number cannot be negative.
To understand why, recall that the square root of a number is defined as the number that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 * 4 = 16.
Since a number multiplied by itself is always positive, it follows that the square root of a number must always be positive or zero. Therefore, it is not possible for the square root of a number to be negative.
Therefore, the equation √x - 1 = -4 does not have a solution, because the left-hand side of the equation (√x - 1) cannot be equal to the negative number on the right-hand side (-4).
----
Please consider giving this 5 stars and brainliest if you find it helpful.
Happy Holidays!
Simplify this radical expression, shown in the following image.
Answers
Answer:
ab²√b
Step-by-step explanation:
original problem can be changed to the square root of a²b²b²b
everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²
the b inside stays there because its exponent is one
PLEASE ANSWER WITHIN 17 HOURS
Answers
(1) The length of side BC is 9 cm.
(2) The length of side PQ is 5.385 m.
(3) The length of side UW is 6.71 mm.
(4) The length of side XZ is 14.32 mm.
(5) The length of side EF is 6 cm.
What is the missing lengths of the right triangle?The missing lengths of the right triangle is calculated by applying the Pythagoras theorem formula.
(1) The length of side BC is calculated as;
BC = √ (15² - 12² )
BC = 9 cm
(2) The length of side PQ is calculated as;
PQ = √ (5² + 2² )
PQ = 5.385 m
(3) The length of side UW is calculated as;
UW = √ (9² - 6² )
UW = 6.71 mm
(4) The length of side XZ is calculated as;
XZ = √ (14² + 3² )
XZ = 14.32 mm
(5) The length of side EF is calculated as;
EF = √ (10² - 8² )
EF = 6 cm
Learn more about lengths of right triangles here: https://brainly.com/question/30413094
#SPJ1
At the end of a snow storm, Abigail saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Abigail's lawn, in inches, tt hours after the snow stopped falling. A graph of SS is shown below. Write an equation for SS then state the yy-intercept of the graph and determine its interpretation in the context of the problem.
Answers
The equation is s = (-14/8) t + 14
Define the term equation?A statement proving the equality of two mathematical expressions is known as an equation. The goal is frequently to ascertain the values of the variables that make the equation true, and it may have one or more variables.
Let's suppose the equation be: s = k×t + b
When, t =0, s =14,
then, b = 14.
When, s =0, t =8
then, 0 = 8k + 14.
k = -14/8
That's why, equation s = (-14/8) t + 14
When t =0, s =14, the y-intercept of the function is 14.
The snow began to melt at a steady rate and the steady rate is 14/8
To know more about equation, visit:
https://brainly.com/question/2228446
#SPJ1
Complete question graph-
solve this equation step by step
t - 27 = - (27-t)
Answers
Answer:
infinite number of solutions
Step-by-step explanation:
Given
t - 27 = - (27 - t) ← distribute
t - 27 = - 27 + t
Since both sides are the same then there are an infinite number of solutions
14
Which of the following is another way of expressing 2 [r? (n+3)) ?
η=8
14
14
7
7
Ση? + Σ(n+ 3) - Ση? + Σ(n+ 3)
η=1
η=1
n=1
η=1
14
14
7
7
Ση° +3 Ση? - Ση° +3 Ση?
n=1
η=1
η=1
n=1
14
14
9
9
Ση? +3 Ση? - Ση+3 Ση?
η=1
η=1
η=1
η=1
14
14
9
9
Ση,
+ Σ(n+ 3) - Ση? + Σ(n+3)
n=1
n=1
η=1
η=1
Answers
Answer:
B
Step-by-step explanation:
Edge 2021
why in math, whenever you do an explanation, for example, 2x - 20, the subtraction sign make the 20 a negative number?
Answers
Answer:
The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.
You have a 20.
+ 20
You don't need to put the + there if there is nothing before it, but that is a positive 20.
If you put a negative in front of it;
- (+ 20) = - 20
If you have a negative in front of parenthesis;
50 - (2x - 20)
50 - 2x + 20
70 - 2x
What is 5log3+log4 as a single logarithm?
Answers
\(~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)\)
in a large population 54% of the people hav been vaccinated 3 people are randomly selected what is the probability that at least one of them has been vaccinated
Answers
The probability that at least one of the three people has been vaccinated is 92.8%.
Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.
The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.
See more about probability at: https://brainly.com/question/13604758
#SPJ11
36÷2/3
pls help i no understand
Answers
Easiest way to do this is to put 36 over 1. Then cross multiply and get 3(36)/2(1) which is 108/2 and that comes out to 54.
Cecovery
Find the surface area of this sphere.
Round to the nearest tenth.
7 in
Formulas for Spheres
S.A. = 4nr?
V =
[?] in2
Enter
Answers
Answer:
615.75
Step-by-step explanation:
The surface area of this sphere is 615.44 cm² Round to the nearest tenth.
What is the surface area of a sphere?The surface area of a sphere is the total area that is covered by its outer surface. The surface area of a sphere is always expressed in square units. A sphere is a three-dimensional shape analouge of a circle.
The area of a sphere = 4πr^2
here, we have,
To calculate the area of a sphere.
We have as data:
Radius (r) = 7cm
Pi(π) = 3.14
The formula to calculate the area of a sphere is:
S.A. = 4nr²
V = πr³
Substituting values into the equation.
S.A. = 4 (3.14) (7)²
S.A = 615.44 cm²
Hence, the surface area of this sphere is 615.44 cm² Round to the nearest tenth.
Learn more about surface area of sphere;
brainly.com/question/11374994
#SPJ7
PLEASEEE HELPP
Alexis has $345 in her savings account and will deposit $15 each week. Alexis will not withdraw any money from her savings account. After how many weeks will she have $1,035 ?
Answers
Answer:
46 weeks
Step-by-step explanation:
1. 1305-345= 690
2.690/15=46
Answer:
46 weeks
Step-by-step explanation:
15*46
=690
690+345
=1035
Investigate the equilibria of ˙x = a − x2 , ˙y = x − y. Show that the system has a saddle and a stable node for a > 0, but no equilibrium points if a < 0. This system is said to undergo a bifurcation as a increases through a = 0. This bifurcation is an example of a saddle-node bifurcation. Draw the phase diagrams for a = 1 and a = −1.
Answers
The phase diagrams provide a visual representation of the system's behavior by plotting the vector field and trajectories in the x-y plane.
The given system of differential equations is described by:
\(˙x = a - x^2˙y = x - y\)
To find the equilibria, we set ˙x and ˙y equal to zero:
\(a - x^2 = 0 -- > x^2 = a -- > x = ±√ax - y = 0 -- > y = x\)
So, the equilibria are (±√a, ±√a).
Now let's analyze the behavior of the system for different values of 'a'.
For a > 0:
In this case, there are two real equilibria, (√a, √a) and (-√a, -√a). We can observe that (√a, √a) is a stable node, as the eigenvalues of the linearized system around this point have negative real parts. On the other hand, (-√a, -√a) is a saddle point, as the eigenvalues have opposite signs (one positive and one negative).
For a < 0:
In this case, there are no real equilibria since √a and -√a are imaginary. Therefore, the system has no equilibrium points.
To visualize the phase diagrams for a = 1 and a = -1:
For a = 1:
The system has two real equilibria, (1, 1) and (-1, -1). The point (1, 1) is a stable node, and (-1, -1) is a saddle point. The phase diagram would show trajectories converging towards (1, 1).
For a = -1:
Since a < 0, there are no equilibrium points, and thus the phase diagram would show no fixed points or trajectories.
for more question on trajectories
https://brainly.com/question/13824151
#SPJ8
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answers
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)