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

Evaluate the formula t=
x−μ
s
n when μ=117​, n=28​, x=113​, and

Answers

Answer:   -1.924

Work Shown:

[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

plz help on this question;WORK OUT,1+2+3(1+2+3)​

Answers

Answer:

21

Step-by-step explanation:

1) Simplify 1 + 2 to 3.

1 + 2 + 3 ×  ( 3 + 3 )

2) Simplify 3 + 3 to 6.

1 + 2 + 3 × 6

3) Simplify 3 × 6 to 18.

1 + 2 + 18

4) Simplify 1 + 2 to 3.

3 + 18

5) Simplify.

21

what do you guys think the answer is?

Answers

Answer: Check out the diagram below

Explanation:

Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.

To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.

To go from A to D, we do the following steps

move to the right 9 spacesmove up 6 spaces

Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.

To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.

Everything is marked in the diagram below.

A. Wealth
B. Level of living
C. liquidity
D. Assets

Answers

Answer:

D: assets.

Step-by-step explanation:

Write the equation of the line from the graph.​

Answers

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

Answer: X= -5

Step By-Step explantation:

can someone please help me with this i have 2 questions so yeah..

1.Natalie and her friends decided to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, and 4 people are members. What is the total cost for the party?

medium sodas cost $1.25 and hot dogs cost $2.50
2. Natalies group brought in pizzas, but is buying the drinks at the concession stand. How many medium sodas can Natalies group buy with $20? Make a table to show your answer.

Answers

Answer:

1. Hence, the answer is $74.50

2. Hence, the answer is 16.

Step-by-step explanation:

1. Given: Natalie and her friends decide to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, adn 4 people are members.

To find: What is the total cost for the party?

Solution:

Since Natalie and her friends wanted to rent four lanes, we need to calculate this at REGULAR cost.

4 * 9 .75 = 39

Now since 10 people want to rent shoes, and 4 people are members, we subtract.

10 - 4 = 6

6 nonmembers

4 members

6 times the amount of shoe rental for 6 * 3.95 - 23.70

non members

4 times the number of members shoe rental 4* 2.95

11. 80

Now add the quantities

39 + 11.80 + 23.70 += 50.80 + 23.70 =

74.50

Now, our answer is 74.50

2.

Solution:

20 / 1.25 = 16

So the possible amount that can be bought is 16 medium sodas.

What is -5/6 – (-5/6)?

Answers

Answer:

0

Step-by-step explanation:

-5/6 - (-5/6)

Negative times a negative is a possitive

-5/6 + 5/6

0

Hopes this answers your question. :)

Answer: 0

Step-by-step explanation:

-5/6 - -5/6 =

-5/6 + 5/6 =

-5 + 5

   6

= 0/6

=0

I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.

Answers

Answer:

tan 72 = 6/x

OR

cos 72 = x/15

Step-by-step explanation:

A good way to remember trig ratios is this

SOH CAH TOA -

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

You can find x in a few different ways.

If you did tangent, it would be

tan 72 = 6/x (because tangent is opposite over adjacent)

Or, there's also the pythagorean theorem...

A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.

Answers

Answer:

1%

Step-by-step explanation:

0.4X2.5=1

Yall i need help asap! please help me. ​

Answers

Refer the attachment please

Hope it helps

Best of luck

HELP PLEASE DONT GIVE THE WRONG ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

Answer:

12 weeks

Step-by-step explanation:

I will use x to describe the amount of weeks.

200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)

Now, just solve for x.

80.10x = 961.2

x = 12

Which point could be used to find f(2)?

Answers

pretty sure it’s A bc f(2) means x=2 and A is (2,0)

point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

check and know more about function here :

https://brainly.com/question/12431044

#SPJ2

Solving Systems of Three equations

(please help i will make you brainliest!!!)

Answers

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

Hi there- kinda confused on this

Answers


D) 5 is the answer

Assuming AE and CE are the same length you would set the two equations to each other: 8x+7=11x-8

Then solve for x:
Subtract 8x from both sides and add 8 to both sides looking like: 15=3x
Divide by 3 to get x by itself and you get x =5
Your work is literally on the internet

The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?

Answers

Step-by-step explanation:

the factor of x : 20 or 20/1

that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.

What is the slope of the line that passes through the points (-2,-1) and (2, -3)?
Write your answer in simplest form.
-

Answers

The equation is y = -1/2x - 2 so the slope is -1/2
U AHVE to do y2-y1/x2-x2

5/7 of a number is 55
work out the number.
please help with this question

Answers

Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

The answer is 77

typingthistogettothe20charactercap

Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25

If there were no other transaction, what was the balance in Mary's account at the end of the month?

Answers

I got 137.15 by adding all the numbers

Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

What is the correct equation to solve for X?

Answers

It’s the second option
sin(45)=13/x

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

solve, (you can use long division if needed) <3

Answers

Answer:

4.9 inches

Step-by-step explanation:

78.4 diveded by 4

19.6 divided by 4

=4.9

The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?​

Answers

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

Determine whether these two ratios
form a proportion:
8/10 and 24/30

Answers

Hi there Moon,

The proportion you’re looking for would be 2/5, it is the smallest possible fraction

* THIS IS A WARM UP*


First level: Easy



What is −12 4/3 + −5 2/1? Write your answer as a mixed number in simplest terms.
Good luck middle schoolers or anyone

Answers

=》The answer is -61/3 = -20.333

Steps are in the attachment.

Note :-

=》The LCM is 3.

_______

Hope it helps ⚜ :))

[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]

Answers

15/4+35/4
25/2
12 1/2
Hope this helped
Ok done. Thank to me:>

2x+5=12 i don´t know what the value of x is

Answers

Answer: X = 7/2 or 3.5

find the equation of the line passing through (3,-6) with the gradient of -1/2​

Answers

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

[tex]m = \frac{y - y1}{x - x1} [/tex]

given

[tex] - \frac{1}{2} \: as \: m[/tex]

and

[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]

subtitute values into the formula

[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]

cross multiply giving

[tex] - 1{x - 3}= 2{y + 6[/tex]

[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]

What’s the remainder of 3,231 / 7

Answers

Select all equations that could be used to solve for the side indicated by the?

Find the value of x

Answers

Answer:

11

Step-by-step explanation:

2x - 6 = 16 (Based on similarity)

2x = 16 + 6

2x = 22

x = 22/2

x = 11

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