What is the surface area of a triangular prism

What Is The Surface Area Of A Triangular Prism

Answers

Answer 1

Answer:

surface area=bh+2ls+lb

Step-by-step explanation:

If you think it is too long to remember, just find the area of each of the shapes on it and add them together.

Hope this helps :)

What Is The Surface Area Of A Triangular Prism

Related Questions

A local radio station is running a contest were 35 people have qualified. From these qualifiers, 3 will be randomly selected to win a trip to the Bahamas. How many different possibilities are there for the outcome of this contest?

Answers

Answer:

39270

Step-by-step explanation:

When the first person is picked, there is a 1 in 35 chance that it will be Person 1. If they are selected, that leaves 34 people left in the pool. After Person 2 is selected, there are 33 people left in the pool for Person 3.

35*34*33=39270

The cost of a pen is $15. Find the cost of 162 pens

Answers

Answer: 15 x 162 = 2430$

So the cost of one pen is $15, we have to find the cost of 162 pens that will cost $15 each.

162 x $15 = $2,430

The cost of 162 pens is $2,430. (Without tax)

A company produces two products, A and B. At
least 30 units of product A and at least 10 units of
product B must be produced. The maximum
number of units that can be produced per day is
80. Product A yields a profit of $15 and product B
yields a profit of $8. Let a = the number of units of
product A and b = the number of units of product
B.
What objective function can be used to maximize
the profit?
P=
DONE✔
a+
b

Answers

The objective function that can be used to maximize the profit is Profit = 15a + 8b

Let a is the number of units of product A and b is the number of units of product B.

Profit = 15a + 8b

This function represents the total profit earned by producing a units of product A and b units of product B

Given that the profit per unit of product A is $15 and the profit per unit of product B is $8.

To maximize the profit, we would need to find the values of a and b that satisfy the constraints given in the problem and maximize the value of the objective function

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I need help i don't know how to do this please

Answers

The size of matrix cM is given as follows:

9 x 10.

What happens when a matrix is multiplied by a constant?

When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.

The parameters for this problem are given as follows:

Constant c.Matrix M of dimensions 9 x 10.

Hence the size of matrix cM is given as follows:

9 x 10.

(same size as the original matrix, as we simplify multiply each element in the matrix by the constant, hence the dimensions remain the same).

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The mean monthly salary of female employees of a company is 3750 Birr, while the mean monthly salary of male employees is 4500 Birr. It is known that the mean monthly salary of male and female employees combined is 4000 Birr. a) What is the ratio of the number of female employees to male employees? b) What percentage of employees are females?​

Answers

Let the number of female employees in the company be represented by f, and the number of male employees be represented by m.

a) We can use the information given to set up the following equation:

(3750f + 4500m)/(f + m) = 4000

Multiplying both sides by f + m, we get:

3750f + 4500m = 4000(f + m)

Expanding and simplifying, we get:

250f = 500m

Dividing both sides by 250, we get:

f/m = 2/1

Therefore, the ratio of the number of female employees to male employees is 2:1.

b) The total number of employees is f + m. To find the percentage of employees that are female, we can use the ratio we found in part a) to write:

f/(f + m) = 2/(2+1) = 2/3

Multiplying by 100%, we get:

females as a percentage = (2/3) x 100% = 66.67%

Therefore, approximately 66.67% of the employees are females.

Find the volume of the cone shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer: 100.48 cubic feet

Step-by-step explanation:

Which number is the greatest? 20 -100 -45 50

Answers

50 is the greatest number.

What is 2 1/4 divided by 1 1/2?

Answers

Answer:

2 1/4 divided by 1 1/2 is equal to 9/2 or 4 1/2.

Step-by-step explanation:

To divide 2 1/4 by 1 1/2, we first need to convert both mixed numbers to improper fractions:

2 1/4 = (2 × 4 + 1) / 4 = 9 / 4

1 1/2 = (1 × 2 + 1) / 2 = 3 / 2

Now we can divide by multiplying by the reciprocal of the second fraction:

(9/4) / (3/2) = (9/4) * (2/3)

We can simplify this multiplication by canceling the common factor of 3 in the numerator of the second fraction and the denominator of the first fraction:

(9/4) * (2/3) = (33/4) * (2/13) = 9/2

So 2 1/4 divided by 1 1/2 is equal to 9/2 or 4 1/2.

Answer:

[tex]\boxed{\sf \dfrac{3}{2}}.[/tex]

Step-by-step explanation:

1. Write the expression.

[tex]\sf \dfrac{2\dfrac{1}{4} }{1\frac{1}{2} }[/tex]

2. Convert the mixed fractions into improper fractions.

[tex]\sf 2\dfrac{1}{4}\Longrightarrow\dfrac{4}{4} +\dfrac{4}{4} +\dfrac{1}{4} =\dfrac{4+4+1}{4} =\dfrac{9}{4}[/tex]

[tex]1\dfrac{1}{2} =\dfrac{2}{2} +\dfrac{1}{2} =\dfrac{2+1}{2} =\dfrac{3}{2}[/tex]

3. Rewrite the division.

[tex]\sf \dfrac{\dfrac{9}{4} }{\dfrac{3}{2} }[/tex]

4. Rewrite again using the properties of fractions.

• Check the attached image.

[tex]\dfrac{9}{4} *\dfrac{2}{3}[/tex]

5. Calculate and simplify.

[tex]\dfrac{9*2}{4*3} =\dfrac{18}{12} \\ \\\dfrac{18/2}{12/2} =\dfrac{9/3}{6/3}=\boxed{\sf \dfrac{3}{2}} .[/tex]

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A spinner divided into three equal sections marked A A and Z is spun 570 times approximately how many times will it be expected to land on an A

Answers

If a spinner divided into three equal sections marked A A and Z is spun 570 times .  The number of  times it will be expected to land on an A is 380 times.

How to find the Expected number of time ?

Since the spinner has three equal sections in which two of them are marked A.  The probability of landing on an A in a single spin will be 2/3  while the probability of landing on Z  will be 1/3.

So,

Expected number of time E(A) =Number of spins x Probability of landing on A

Expected number of time E(A) = 570 x (2/3)

Expected number of time E(A)  = 380

Therefore the Expected number of time E(A) is 380 times.

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Plsss help meeee quick

Answers

Answer:

B

Step-by-step explanation:

Lateral surface contains B,C and D (because A and E are bases)

A (lateral surface area) = 70 + 70 + 56 = 196 cm^2

Trundle wheels are used to measure distances along the ground.
The radius of the trundle wheel is 30 cm.
Jim wants to work out the distance between two junctions on a road.
He rolls the trundle wheel between the two junctions.
The trundle wheel rotates exactly 48 times.
Work out the distance between the two junctions.
Give your answer in metres correct to the nearest metre.

Answers

The distance between the two junctions is, 90 meters, when rounded off to the nearest meter.

:: Radius of trundle wheel = 30 cm = 0.3 meter (as 100 cm = 1 m)

:: No. of rotations = 48

:: Circumference of a circle = ( 2 x π x r )

where, r is radius of the circle

So, as,

Distance between junctions = [ (circumference of trundle wheel) x (no. of rotations) ]

Therefore,

Distance = (2 x π x 0.3) x (48)

Distance = 2 x (3.14) x 0.3 x 48

Distance = 90.432 meters

When rounded off to the nearest meter,

Distance = 90 meters.

So, The distance between the two junctions is, 90 meters, when rounded off to the nearest meter.

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Bob has saved $600 each month for the last 3 years
to make a down payment on a house. The account
earned an interest rate of 0.50 percent per month.
How much money is in Bob's account?

Answers

Answer:

300

Step-by-step explanation:

A population of rabbits is increasing at a rate of 1.5% per month. If there are 60 rabbits today, how many will there be after 10 months? Round to the nearest whole.

Answers

If population of rabbits is increasing at a rate of 1.5% per month, after 10 months, there will be approximately 71 rabbits in the population.

To solve this problem, we need to use the formula for exponential growth:

A = P(1 + r)ᵗ

where A is the final amount, P is the initial amount, r is the growth rate as a decimal, and t is the time period. In this case, we have P = 60, r = 0.015 (1.5% expressed as a decimal), and t = 10.

Plugging these values into the formula, we get:

A = 60(1 + 0.015)¹⁰

A ≈ 71

t's important to round to the nearest whole, so we can't be exact, but we know the answer will be somewhere between 70 and 72 rabbits.

Exponential growth is a model that assumes continuous growth over time, which may not be entirely accurate in real-world scenarios.

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Find the consumers' surplus at a price level of $1 for the price-demand equation

p= D(x) = 20-0.1x
where p is the price and x is the demand. Do not include a dollar sign or any commas in your answer.

Answers

The consumers' surplus at a price level of $1 for the price-demand equation is -1072.5.

Given that price-demand equation p= D(x) = 20-0.1x, we need to find the consumers' surplus at a price level of $1.

So,

From the equation we have,

20-0.1x = 1

0.1x = 19

x = 190

Therefore, the equilibrium point = (190, 1) = (xe, Pe)

Now,

Cs = [tex]\int\limits^{x_e}_0 {D(x)} \ dx\, -Pexe[/tex]

[tex]\int\limits^{190}_0 {20-0.1x} \ dx\, -(190)[/tex]

= 20-0.1{9025}-190

= -1072.5

Hence the consumers' surplus at a price level of $1 for the price-demand equation is -1072.5

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Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two serving of blueberry pie provides 1290 calories

Answers

The caloric content for ice cream C is 250 calories while the caloric content for ice cream B is 270 calories.

How to determine the caloric content

To determine the caloric content, we will assign algebraic notations to each of the dessert types.

1 Icecream + 2 Blueberry pie =   790 calories

3 icecream + 2 Blueberry pie = 1290 calories

Now the first equation will be subtracted from the second equation as follows:

2 icecream = 500 calories

So, 1 ice cream is 250 calories.

Also, since, 1 icecream serving equals 250 calories, 2 Blueberry pies = 790 - 250 = 540 calories, and 1 Blueberry pie equals 270 calories.

Complete question:

Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two servings of blueberry pie provides 1290 calories. Find the caloric content of each item.

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Find the degree of the monomial. 3a^8b^7

Answers

The degree is 8 because it is the biggest exponent

if my circular garden requires 2 cups of water per 10 square feet, how many cups of water do i need when the radius is 3 feet​

Answers

6 cups of water, since the area is 3.14r^2 which is 28.26 feet. And then 2 cups per each 10 feet so 4 and then if we round for the remaining 8.26 feet, 6 cups total.

Models that represent z+9=14 ASAP

Answers

To represent z+9=14, we can start by subtracting 9 from both sides of the equation:

z + 9 - 9 = 14 - 9

Simplifying the left side of the equation gives:

z = 5

Therefore, the solution to the equation z+9=14 is z=5.

PLEASE HELP ME QUICK!!!

Answers

Answer:

Option D.   [tex]g(x)=5(0.8)^{x}+2[/tex]

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form [tex]y=a*b^x[/tex] has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form [tex]y=a*b^x[/tex] increase or decrease based on the value of "b".

If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

A map shows the vertices of a campsite are (25,10), (25,-5), (-5,-5), and (-5,10). The vertices of your tent are (0,-3), (0,6), (10,6), and (10,-3). The coordinates are measured in feet. What percent of the campsite is not covered by your tent?

Answers

The percent of the area that is not covered is 80 percent

How to calculate the area that is not covered

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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Rosie earns $25 for travel time plus $18 an hour working at her uncle’s shop. Write an expression that can be used to find the amount Rosie will earn for working, 7, hours.

Answers

Answer:

Earned = 25 + 18h

Earned = 151

Step-by-step explanation:

The amount earned is the travel time plus the amount per hour times the hours

Earned = 25 + 18h

She works 7 hours

Earned = 25 + 18*7

Earned = 25 + 126

Earned = 151

.If $10,000 is deposited in an account earning 5 ¾ % interest compounded monthly. How much money will be in the account in 5 years.

Answers

The total amount in the acount in 5 years is approximately $13,321.76.

What is the accrued amount in the account in 5 years?

The formula accrued amount in a compounded interest is expressed as;

[tex]A = P( 1 + \frac{r}{n} )^{n*t}[/tex]

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

Principal P = $10,000Compounded monthly n = 12Time t = 5 yearsInterest rate r = 5 3/4% = 5.75%Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 5.75/100

r = 0.0575

Plug the given values into the above formula and solve for A.

[tex]A = P( 1 + \frac{r}{n} )^{n*t}\\\\A = 10000( 1 + \frac{0.0575}{12} )^{(12*5)}\\[/tex]

A = $13,321.76

Therefore, the accrued amount is $13,321.76.

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A swimming pool holds 450, 000 L
of water and has two drainage
pipes.
Pipe A, by itself, can drain the pool
in 150 minutes. Pipe B, by itself, can
drain the pool in 225 minutes.
If you turned on both pipes at the
same time, how many minutes
would it take to drain the pool?

Answers

Using a linear equation, the minutes it would take both pipes to drain the swimming pool that holds 450,000 liters is 90 minutes.

What is a linear equation?

A linear equation is an equation of a straight line written in the form of y = mx +b, where m is the slope.

The quantity of water the swimming pool holds = 450,000 liters

The drainage time of Pipe A working alone = 150 minutes

Drainage rate of Pipe A = 3,000 liters per minute (450,000 ÷ 150)

The drainage time of Pipe B working alone = 225 minutes

Drainage rate of Pipe B = 2,000 liters per minute (450,000 ÷ 225)

The drainage rate of the combined pipes = 5,000 liters per minute (3,000 + 2,000)

Let the number of minutes for both pipes to drain the pool = x

Therefore, the linear equation is 5,000x = 450,000

x = 90 minutes (450,000 ÷ 5,000)

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Find the probability that
event A or B takes place.

Answers

The probability that event A or B takes place is P ( A ∪ B ) = 6/17

Given data ,

Let the probability that event A or B takes place is P ( A ∪ B )

Now , the probability of A is P ( A ) = 2/17

And , the probability of B is P ( B ) = 4/17

where P ( A ∩ B ) = 0

On simplifying the equation , we get

P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )

So , P ( A ∪ B ) = 2/17 + 4/17

P ( A ∪ B ) = 6/17

Hence , the probability is 6/17

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If GI and JL are parellel lines and m

Answers

The measure of angle IHE is 23°.

Since DF and GI are parallel, we know that angle HJF is congruent to angle GHJ. Therefore, we have:

mHJF = mGHJ = 134°

We can now use this information to find the measure of angle IHE. To do this, we need to use the fact that the sum of the angles in a straight line is 180°. Since H, J, F, and I lie on a straight line, we have:

mHJF + mFJI + mIHE = 180°

Substituting the values we know, we get:

134° + mFJI + mIHE = 180°

Simplifying the equation, we get:

mFJI + mIHE = 46°

We still need to find the measure of angle FJI. To do this, we can use the fact that the angles in a triangle add up to 180°. Triangle GHJ is a straight line, so its angles add up to 180°. Therefore, we have:

mGHJ + mHJF + mFJI = 180°

Substituting the values we know, we get:

134° + mFJI + mFJI = 180°

Simplifying the equation, we get:

2mFJI = 46°

Dividing both sides by 2, we get:

mFJI = 23°

Finally, we can substitute this value back into our earlier equation to find the measure of angle IHE:

mFJI + mIHE = 46°

23° + mIHE = 46°

Subtracting 23° from both sides, we get:

mIHE = 23°

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Complete Question:

If DF and GI are parallel lines and mGHJ = 134°, what is mIHE?

Consider the line y = -8x + 7.
Find the equation of the line that is perpendicular to this line and passes through the point (-5, 3).
Find the equation of the line that is parallel to this line and passes through the point (-5, 3).

Answers

The equation of the line that is parallel to the line that passes through the point (7, 6) is y = 8x - 50.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.

Since lines can exist embedded in two, three, or higher dimensions environments, they are one-dimensional objects.

The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

So, the lines with the same slope but a different y-intercept are said to be parallel.

Therefore, we must use the same slope to plug in the point (7, 6) and solve for the y-intercept.

We thus have:

y = 8x + b

6 = 8(7) + b

6 = 56 + b

b + 56 = 6

b + 56 - 56 = 6 - 56

b = -50

The equation is: y = 8x - 50

Therefore, the equation of the line that is parallel to the line that passes through the point (7, 6) is y = 8x - 50.

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Correct question:

Consider the line y = 8x - 4. Find the equation of the line that is parallel to this line and passes through the point (7, 6).

I understand the lower and upper class limits but there are only one number but I don't know what to do

Answers

The class mark of the modal class is: 25

How to solve

From the given histogram, the following Frequency Distribution is obtained:

Class Interval Mid point Frequency

625-675 650 3

676-726 701 5

727 - 777 752 7

778 - 828 803 8

829 - 879 854 6

880 - 930 905 2

931 - 981 956 0

982 - 1032 1007 1

b. To find the lower class limit of the first class:

First class: 625

c. The upper limit of the first class is:

First class: 676

The class mark of the modal class is:

The modal class is: 803

The class mark is upper limit + lower limit/2

Thus, 828-778/2

=> 50/2

The class mark of the modal class is: 25

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6 yards 2 feet 5 inches equals

Answers

Answer:

245 inches

Step-by-step explanation:

Yards->Inches

1 yard = 36 inches

Therefore, 6 yards = 36 x 6 = 216 inches

Feet->Inches

1 feet = 12 inches

Therefore, 2 feet = 2 x 12 = 24 inches

Adding all inches,

=> 216 + 24 + 5

=> 245 inches

The architect stands 6 feet from a climbing frame looking up at the top of the frame at an angle of 63.43

Answers

The value of the height of the entire climbing frame is 11.99 feet

How to determine the value

To determine the value, we need to know the different trigonometric identities.

These identities are;

tangentcotangentcosecantsecantcosinesine

From the information given, we have that;

In the triangle, the parameters are;

Hypotenuse is the distance between the architect and frame

The angle is 63.43

Adjacent is 6 feet

Using the tangent identity, we have;

tan 63.43 = h/6

cross multiply, we get;

h = tan (63. 43) × 6

Find the tangent value and substitute, we have;

h = 1. 99 × 6

Multiply the values, we have;

h = 11. 99 feet

Then, the height of the entire climbing frame is 11. 99 feet

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Complete question:

'The architect stands 6 feet from climbing frame, looking up at the top of the frame at an angle of 63.43" It is 5 and half feet from ground to the architect's eyes: The vertical distance from eye level to the top of the climbing frame is feet: The height of the entire climbing frame is feet:'

3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x 3.4.1 What is the area of the box? 3.4.2 Factorise the area of the box? 3.4.3 If x = 2 what will be the value of the length and the breadth?​

Answers

Answer:

3.4.1) (8x^2)(6x^2 - 4x) = 48x^4 - 32x^2

3.4.2) 48x^4 - 32x^2 = (16x^2)(3x^2 - 2)

3.4.3) Length = 16(2^2) = 16(4) = 64

Width = 3(2^2) - 2 = 3(4) - 2

= 12 - 2 = 10

Area = 64(10) = 640

Other Questions
6-) While stirring a beaker of water, a student adds sodium chloride until no more sodium chloride will dissolve. Which of these is most likely to reduce the concentration of the sodium chloride in solution? A heating the solution on a hot plate B. Adding more sodium chloride to solution C. Removing some solution with a pipette D. Using an ice bath to cool the solution The implementation stage of the SDLC is when the system is moved into operation where it can be used. What stage PRECEDES the implementation stage and what happens in this preceding stage?Group of answer choicesDevelopment Stage: where the system is planned, including the creation of screen mockupsDesign Stage: where the system is created based on the planDesign Stage: where the system is planned, including the creation of screen mockupsDevelopment Stage: where the system is created based on the planRequirements Stage: where the system is created based on the plan Scientists measured 24 geodes in kilograms and got the following data: 0.9, 1.1, 1.1, 1.2, 1.5, 1.6, 1.7, 1.7, 1.7, 1.9, 2.0, 0.8, 2.3, 5.3, 6.8, 7.5, 9.6, 10.5, 11.2, 12.0, 17.6, 23.9, and 26.8How many items belong to the interval 10.1-15 Which goal was shared by Rosa Parks and the Freedom Riders? Mai Drew does design shown below each rectangle in the design have the same area each rectangle is a what fraction of the area of the complete design which situation best describes cross-contact between fish and chicken?1. using separate tongs to serve each food2. using the same tongs to serve both foods3. storing the two foods in the same refrigerator 4. using separate cutting boards to prepare each food A restaurant owner rejects his produce shipment if he finds more than 3 crates with any bruisedor spoiled food in it. The probability that a crate has bruised or spoiled food in it is 0.11. Whatis the probability that he will reject a shipment of 15 crates? Albert and Makayla are each renting a car for one day. Alberts rental agreement states that the car costs $35 per day and $0. 15 per mile driven. Makaylas agreement states that the car she is renting costs $45 per day and $0. 10 per mile driven. Write an equation to determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals Question 22(Multiple Choice Worth 5 points)(03.03 MC)Use the photo below of an ancient Aztec calendar to answer the following question:This circular calendar is carved in stone. It has a face in the center and is intricately decorated with details and Aztec symbols.Public DomainWhat does the image above indicate about Aztec culture? It was not interested in astronomy. It had no symbolic system of language. Its religion was less violent than others'. It considered measuring time very important. How much do you know about service delivery? . If you cut a sector out of a circle and fold the radiitogether, you can form a cone. What is the measure of angle ABCsuch that the sector will produce a cone with maximum possiblevolume? A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects.Before treatment, 23 subjects had a mean wake time of 105.0 min. After treatment, the 23 subjects had a mean waketime of 82.1 min and a standard deviation of 23.3 min. Assume that the 23 sample values appear to be from anormally distributed population and construct a 95% confidence interval estimate of the mean wake time for apopulation with drug treatments. What does the result suggest about the mean wake time of 105.0 min beforethe treatment? Does the drug appear to be effective? 1. (a) In what way is Banquo an archetype? (b) Why is Macbeth so upset at the image of Banquoshown to him by the witches? (5 points) 4 major functions of the skeletal system Study the map. Which of the shaded areas represents the Inca civilization?OA. Area AOB. Area DOC. Area BD. Area C What decision was reached in the case of marbury v. Madison?. What is the mass in grams of strontium chloride that reacts with 300. 0g of sulfuric acid The equation x^2+y^2=1156 represents the service that a cell phone tower provides. How far from the tower will you receive cell phone service? If the profit function for a product is P(x) = 2800x + 85x^2 x^3 109,000 dollars, selling how many items, x, will produce a maximum profit? Find the maximum profit. Find cot0, sin 0, and csc 0, where 0 is the angle shown in the figure.Give exact values, not decimal approximations.0118cot 0 = 0sin 0 = 0csc 0 = 0