Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)

Demonstrate Your Knowledge By Giving Clear, Concise Solutions To Each Problem. Be Sure To Include All

Answers

Answer 1

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

                                = [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

   = [tex]\frac{1}{2}[/tex] a(16 + aπ)


Related Questions

find the square root of 48​

Answers

The answer is 6.92820323028

[tex] \: \: \: \: \: [/tex]

6.92820323

step-by-step explanation

refer to the attachment

hope it helps

What is the product of 2x + y and 5x - y + 3?

Answers

answer: 10x² - y² + 3xy + 6x + 3y

I desperately need this answer. Thank You so much and have a great day

Answers

Answer: D.25

Step-by-step explanation:

Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.

2(10)+5

 2(10)=20

20+5+25

Answer:

25

Step-by-step explanation:

Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.

p(10)=2(10)+5

p(10)=20+5

p(10)=25

A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?

Answers

lol no

just give up in life

The function is used to model real life situation

The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000  

 

(a) The value of a

The function is given as:

[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]

The profit on 120 computers is 3200000.

So, we have:

[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]

[tex]\mathbf{3200000 = -1600a}[/tex]

Divide both side by -1600

[tex]\mathbf{a = -2000}[/tex]

Hence, the value of (a) is -2000

(b) The maximum profit

The function becomes

[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

Expand

[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]

[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]

Expand

[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]

Differentiate

[tex]\mathbf{y' = -4000x + 600000}[/tex]

Set to 0

[tex]\mathbf{-4000x + 600000 = 0}[/tex]

Collect like terms

[tex]\mathbf{4000x = 600000}[/tex]

Divide both sides by 4000

[tex]\mathbf{x = 150}[/tex]

Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]

[tex]\mathbf{y = 5000000}[/tex]

150 computers must be produced to maximize the profit of $5,000,000  

c) Range when the target is at least $4,800,000

This means that:

[tex]\mathbf{y \ge 4800000}[/tex]

So, we have:

[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]

Collect like terms

[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]

[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]

Divide through by -2000

[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]

Factorize

[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]

Express as inequality

[tex]\mathbf{140 \le x \le 160}[/tex]

A range of 140 to 160 computers would give the company at least $4,800,000

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HELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?

Answers

Area of measured tile: 12 x 10 = 120 square inches

Area of actual tile = 10 x 10 = 100 square inches:

Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%

Answer: 20%

r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.

Month # Rainfall (millimeters)

111 145145145

222 135.8135.8135, point, 8

333 179.1179.1179, point, 1

444 171171171

555 64.864.864, point, 8

666 12.612.612, point, 6

777 8.48.48, point, 4

888 8.98.98, point, 9

999 15.715.715, point, 7

101010 29.529.529, point, 5

111111 83.883.883, point, 8

121212 142.6142.6142, point, 6

Which number type is more appropriate for the domain of rrr?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Integers


(Choice B)

B

Real numbers

What's the appropriate domain?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq

Answers

Answer:

Integers

1</ M </ 12

Step-by-step explanation:

Khan Aacademy

The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?

Answers

Answer:

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

The first truck carry 70 tons while the second carry 105 tons

Let the amount the first truck can carry be x

Let the amount the second can carry be y

If the first truck carries 35 tons less rice than the second truck, then;

x = y - 35

If the number of paddy in the first truck is 2/3 of the amount in the second truck

x = 2/3 y

Equate both to have:

2/3 y = y - 35

2/3y - y = -35

-y/3 = -35

y = 105

Since x = 2/3 y

x = 2/3 * 105

x = 70

Hence the first truck carry 70 tons while the second carry 105 tons

Laern more on equations here: https://brainly.com/question/16863577

How would you best describe the angle pair <6 and <7

Answers

Answer:

Consecutive interior angles

Step-by-step explanation:

The answer is right, but I am not 100 percent sure.

Answers

Step-by-step explanation:

a bc it should be good anser

The transformation shown is a rotation.
true or false

Answers

Answer:

True

Step-by-step explanation:

Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!

ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.

Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD

Answers

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

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I really need help with these geometry questions.

Answers

Hey there!

I'm going to go in order from images.

1. The angle measure 60 is linear to angle 6, this would make them supplementary.

Angle 6: 180 - 60 = 120

Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.

2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.

If angle 2 equals 120 measure 6 also equals 120.

3. The 2 equations are alternate exterior angles.

2x+5=8x-7

    +7     +7

2x+12=8x

-2x     -2x

12=6x

12/6= 2

x=2

4. I cannot explain this one without showing it visually lol.

Measure 5 equals 30 degrees.

5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.

If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.

I hope this helps!!!

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

x = 20
4x + 30 = 110
3x + 10 = 70

Tell 3 numbers that are less than 2 and greater than −1.

Answers

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Do they have to be whole numbers?
If not, then 0, 1, and 1.75.

Need some help for Exponents.




1) Five squared

2) Eight to the 5th power

3) Nine cubed

4) 2 x 2 x 2 x 2

5) 7 x 7 x 7 x 7 x 7 x 7

6) 2.3 x 2.3

Find the value of each of the following:

7) 54

8) 132

9) (1.2)2

10) 180

11) 10002

12) 72 x 70

Critical Thinking Applications

13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.

14) Create an application problem similar to the one above. Solve your problem. Explain each step.

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.

16) Create and solve 5 problems using exponents.

Answers

Answer:

1) 25

2) 32,768

3) 729

4) 16 or 2^4

5) 117,649 or 7^6

6) 5.29 or 2.3^2

Not sure what 7-12 mean

13) 1 mile 64-63=1

14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37

15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.

16) 8^5= 32,768  6^6= 46,656  5^7= 78,125  5^5= 3,125  4^10= 1,048,576

Step-by-step explanation:

Does anybody have the answer to this???? Thank You

Answers

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

In rhombus WXYZ, if WX=15, find YZ.

Answers

Answer:

YZ=15

Step-by-step explanation:

All sides of a rhombus are equal so it would be the same length.

List three negative numbers that are greater than -9

Answers

Answer:

use these and choose 3 your welcome

does the right riemann sum underestimate or overestimate

Answers

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.


.
1/2 of David's money is
2/3 of Henry's money.

(a) Express David's money as a fraction of Henry's money

Answers

Anwser your own ☝️you’re welcome

Answer:

80

Step-by-step explanation:

math

Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).

Answers

Answer:

see explanation

Step-by-step explanation:

The following statements are true

The domain of f(x) is all real numbers

The range of f(x) is all real numbers

f(2) = 4

locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then

f(2) = 4

I will mark brainliest. Only REAL ANSWERS PLEASE!!!

Answers

Answer:

y > -4

Step-by-step explanation:

The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.

please help me asap

Answers

Answer:

No, it isn't linear because the graph is not a straight line.

Step-by-step explanation:

(see picture of graph)

Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.

Find the slope of the line for y = x - 6​

Answers

Answer:

Slope is equal to 1.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slopeb - y-intercept

Step-by-step explanation:

Step 1: Define

Identify.

y = x - 6

Step 2: Find

Break equation, compare to slope-intercept general form.

Slope m = 1

y-intercept b = -6


What are the values of m and n

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]m = 60 \degree[/tex]

[tex]n = 30 \degree[/tex]

Refer to attachment for solution ~

Jenny has three times as many new toys as she has favorite toys.

Answers

answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)​

Answers

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?

Answers

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny

Answers

Answer:

fraction 1/4. decimal 0.25 percent 25%

Step-by-step explanation:

5:20=5/20=1/4

1/4 is 0.25

the percentage is 25% aftr multiplying the decimal by 100%

A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions.

Apples cost $ __ per pound.
brainliest 100pts

Answers

Answer:

Cost 0.70 per pound.

Step-by-step explanation:

If you see the cost and the weight you can get the price per pound, so if 5 pounds cost $3.50, you can evaluate doing a rule of three:

So if you clear X you´d get this:

So the cost per pound is $0.70.

Now that you have the cost per pound you can do the equivalent ratios:

Cost---------------Apples

0.70---------------1 pound

3.5--------------- 5 pounds

 7---------------  10 pounds

Brainliest me bro

Answer:

70 cents per pound

Step-by-step explanation:

$3.50/5lb= 70 cent

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Will give brainly crown (if shown step by steps I'll give half of my entire points) Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix? manuel y felipe 1 of 1 en el cine. la pelcula fue muy mala. The profit at a chocolate shop can be represented using the function f(x)=3x95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?Can someone explain how to do this. what is the domain and range? Add the following fractions answer in lowest terms.1) 9/10+4/5+5/6=2) 14/15+2/9+1/5=please give me Right answers please. The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second? A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches. Alex says that he is a boy but when he grows up he is going to be a girl. Alex does not yet understand ______. What should you point out when demonstrating 2022 sentras confident handling and comfortable ride? Who are the famous brothers who are known worldwide for killing their parents? The object represented by this graph is movingA. away from the origin at a constant velocity.B. away from the origin at a decreasing velocity.C. toward the origin at a constant velocity.D. toward the origin at a decreasing velocity. (Pythagorean theorem) do the following lengths form a right triangle? Show steps rich, publish suffix and prefix Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need An infant has gluten-sensitive enteropathy and the parents ask the healthcare professional to explain why the baby bruises so easily. The professional explains that the baby has which deficit 01.Which of the following statements best characterizes changes to agriculture in the United States since 1900?A Increased mechanization has reduced the need for labor.B. Increased mechanization has increased the need for water, thereby increasing the need forlabor.C. Increased mechanization has increased the use of land, thereby increasing the need for labor.D. Increased mechanization has increased food production, thereby increasing the need for labor.Please select the best answer from the choices provided. b/4 + 2 = -1Please help, Ill give brainliest to whoever answers correct first. the business cycle illustrates the long-run fluctuations of ___. a) real GDPb) nominal GDPc) aggregate supply d) the dollars value Please help me please help mee Find x, y, and z such that x+y+z