The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)

The Figure Below Shows Part Of A Stained Glass Window Depicting The Rising Sun Which Function Can Be

Answers

Answer 1

We know that the area of a semicircle = 1/2(πr^2)

r = the radius

We also know that the area of a rectangle = xy

x = width

y = length

In our problem,

r = w

x = w

y = w + 5

A(w) = w(w + 5) - 1/2(πw^2)

Let's simplify the right side of the function.

A(w) = w^2 + 5w - 1/2πw^2


Related Questions

Hi help me please I don't know how to do it "using the formula evaluate (87)^2" ​

Answers

Answer:

7,569

Step-by-step explanation:

[tex](87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569[/tex]

Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

Answers

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality

5w +3w=40 simplify your answer as much as possible

Answers

Answer:

w=5

Step-by-step explanation:

8w=40

/8    /8

w=5

5w +3w= 40
8w= 40
40/8= 5

2x – 10 = 1/2(x – 8)

Answers

Answer:

X= 4

Step-by-step explanation:

Answer: x=4


Simplify 1/2(x-8) to x-8/2

Multiply both sides by 2

Add 20 to both sides

Simplify x-8+20 to x+12

Subtract x from both sides

Simplify 4x-x to 3x

Divide both sides by 3

Simplify 12/3 to 4

(m • n) • p=m • (n • p)
what property is this

Answers

Answer:

Step-by-step explanation:

A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months ( ) m does the zookeeper need to wait for the two snakes to be the same length? a. Write the question or problem statement for the situation. _______________________________________________________________________________ _______________________________________________________________________________ b. Write the general form of the equation. _______________________________________________________________________________ c. Write the verbal and variable expression for the left side of the equation. _______________________________________________________________________________ d. Write the verbal and variable expression for the right side of the equation. _______________________________________________________________________________ e. Write the final algebraic equation with variables on both sides. Include what the variable represents in the problem. Include appropriate units. ____________________________________________________________

Answers

Answer:

see below

Step-by-step explanation:

a.  We want to see when the two snakes will be the same length.

b.   b1 + r1m= b2 + r2m  where b is the initial length and m is the number of months and r is the  growth rate

c.   for the anaconda  5.23 + 1.27 m  where m is the number of months,  and the total length is in meters

The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months

d.  for the python 4.76 + 2.04m   where m is the number of months, l is the length of the python in meters

The python starts at 4.76 meters and grows 2.04 meters each month for m months

e.  5.23 + 1.27 m  = 4.76 + 2.04m   m is the number of months  Each side is the number of meters

ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61

Answers

The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of [tex]\sqrt{61}[/tex]

The exact distance is [tex]\sqrt{61}[/tex] which approximates to roughly 7.81024967590666

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

This is what the steps should look like

[tex]AB = \sqrt{ (6-1)^2 + (2-(-4))^2}\\\\AB = \sqrt{ (5)^2 + (6)^2}\\\\AB = \sqrt{ 25 + 36}\\\\AB = \sqrt{ 61} \ \ \text{ Exact distance}\\\\AB \approx 7.81024967590666 \ \ \text{ Approximate distance}\\\\[/tex]

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

Answers

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

A line has a rise of 6 and a slope of 1/20.

Find the run of the line. Type a numerical answer in the space provided.

Answers

Answer:

120

Trust me it is correctGood Luck:)

The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h

Answers

h=A 6/b or 6 divided b = h

Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2

Answers

Answer:

B) f(x) = 3x^2+5x-2 and D) f(x)=x^3 -8x^2

Step-by-step explanation:

the degree of the polynomial function below is 5 and the leading coefficient of this polynomial function is -3 :)

Answer:

Which polynomial functions are written in standard form? Select all that apply.

B. f(x) = –3x5 + 5x – 2

D. f(x) = x3 – 8x2

Step-by-step explanation:

The degree of the polynomial function below is  5.

 f(x) = –3x5 +4x – 2

The leading coefficient of this polynomial function is  

✔ –3

5+3(-x-9)+ 4x – 2(5x-1)

Answers

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

1.Estimate square root 3

Answers

1.732 is the square root of 3

Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.

Answers

Answer:

$61.99

Step-by-step explanation:

To find the total, we need to add.

Let's start with the ticket and the soda.

54+2=56

0.85+0.15=1

56+1=57

Next, add the price of the hot dog.

4.99 rounds to 5, so 57+5=62

62-0.01=61.99 (here we subtracted the one cent we originally rounded up)

$61.99

Hope this helps :-)

Answer:

61.99

Step-by-step explanation:

Solve for x.

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

x = [?]​

Answers

Answer:

x= 11

Step-by-step explanation:

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

Multiply both sides by 2:

2(3x -5)= 12 +4x

Expand:

2(3x) +2(-5)= 12 +4x

6x -10= 12 +4x

Bring all x terms to 1 side, constant to the other:

6x -4x= 10 +12

2x= 22

Divide by 2 on both sides:

x= 22 ÷2

x= 11

6x-10=12+4x
6x-4x=12+10
2x=22
X=11

Find the approximate side length of a square game board with an area of 161 in?

Answers

Answer: 12.69 in

Explanation:
Square root of 161 is around 12.69
That means each side of the square is about 12.69 bc l x w = a
and square root of a = side length of square

PLS HELP, a group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket​

Answers

Answer:

We need more information about C.

You have $60 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=60 + (25+ 8)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?

Answers

Answer: 3 weeks

Step-by-step explanation:

25 + 8 = 33

33+ 60 = 93

220 / 93 = 2.3 or 3 weeks

Hope this helps

Plz mark brainliest

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises

Answers

///)/)//)/)//)(/)/)/)/)/))/)/)/)//)/))/

Answer:

f(−1) = ✔ 2

f(1) = ✔ 6

f(2) = ✔ 11

Step-by-step explanation:

An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.

Answers

Answer:

10 miles per hour I'm not sure tho just trying to help :)

Step-by-step explanation:

try to divide

Answer:

10

Step-by-step explanation:

600mph= 10miles/min

2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power

Answers

Answer:

d. 4^9

Step-by-step explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 +

Answers

Answer: A and B

Step-by-step explanation:

I just took the assignment.

Answer: A and B

A.) Leena consumed 1,500 calories at dinner.

B.) The equation 2/3 (x + 400 + 350) = x can be used to model the situation.

Step-by-step explanation: i hope this helps :)

Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)

Answers

Answer: y = 4x - 12

Step-by-step explanation:

Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?

Answers

The independent variable would be the Candles she sells for $10

2.
Write an equation in point-slope form of the line that passes through the points (-2, 4) and (6,-4)

Answers

Answer:

Step-by-step explanation:

(-4 - 4)/(6 + 2)= -8/8= -1

y - 4 = -1(x + 2)

y - 4 = -x - 2

y = -x + 2

Each team earns 1 point for each person who participated in the track-and-field day. Who wins the meet---the eighth graders or the seventh graders?

Answers

Answer:

THE SEVENTH GRADERS

Step-by-step explanation:

next time give more context tho, but the seventh graders got 712 points while the eighth graders got 332 points. love from granny smith y'all!

Answer:

7th

Step-by-step explanation:

sup

PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b

Answers

7b(1 + 4)

The 7b is shared between the two numbers, so factor it out

Question 4
3 pts
James wants to estimate the sum of 3,68 and 4.24. He decided to estimate 3
different ways. What is the estimate for each way that James used?
Estimate to the nearest whole:
Estimate to the nearest half
Estimate to the nearest tenth:

Answers

Answer:

whole #372

nearest half#372.2

nearest 10th#372.24

Step-by-step explanation:

4 in 4.24 is the whole number

.20 would be nearest half

.04 is the tenth

HELP ASAPPP PLEASE HELPPPPPPP

Answers

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

Please Mark Brainliest!

if it is 9:39 what time would it be a hour and a half later

Answers

Answer:

It would be 11:09

Answer:

11:09

Step-by-step explanation:

30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09

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