Find the area of the composite figure in square mm. Round your
answer to the nearest square milimeter. (Enter only a number as
your answer.)

Find The Area Of The Composite Figure In Square Mm. Round Youranswer To The Nearest Square Milimeter.

Answers

Answer 1

Answer:

521

Step-by-step explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = π[tex]r^2[/tex]

Diameter =20= 2r

r=10

π[tex]r^2[/tex]= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521


Related Questions


The width of a rectangle is 38 centimeters. The perimeter is at least 692 centimeters. Write an inequality that represents all possible values for the length of the rectangle. Then solve the inequality.

Answers

Answer:

See bolded / underlined / italicized below -

Step-by-step explanation:

This is a great question!

If x were the length of this rectangle, then we could conclude the following,

2( 38 ) + 2( x ) > 692,

As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -

2( 38 ) + 2x > 692,

76 + 2x > 692,

2x > 616,

x > 308

Solution = Length should be at least 308 cm

( The attachment below is not drawn to scale )

If (x+3) varies directly as y and x=3 when y=12, what is the value of x when y=8?

Answers

Answer:

x = 1.

Step-by-step explanation:

y = k(x + 3)

When x = 3 y = 12 so

12 = k(3 + 3)

6k = 12

k = 2.

So the relation is y = 2(x + 3)

When y is 8:

8 = 2(x + 3)

2x = 8 - 2*3 = 2

x = 1.

What decimal represents the shaded part in the picture?

Answers

Answer:

40/100 = 0.4

your welcome

Bacteria in a petri dish doubles every 10 minutes.
a) If there are 10 bacteria initially, how many are there after 120 minutes?
b) If there are 10 bacteria initially, when would there be a million bacteria?
(Show step by step)

Answers

Answer:

Step-by-step explanation:

Givens

Petri Dish A sees a double ever 10 minutes

Petri Dish B sees a double ever 6 minutes

Consequences

A doubles 60 / 10 = 6 times.

B doubles 60 / 6 = 10 times.SolutionIf you work best with numbers then suppose there are 100 bacteria in both dishes at the beginningA = 100 * 2^6B = 100 * 2^10A will have 100 * 64 = 6400 bacteria growing inside AB will have 100 * 1024 = 102400 bacteria growing inside BB/A = 102400 / 6400 = 16There are 16 times as many in B than in A

HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!

Answers

Answer:

the total amount is £ 756.

hope it helps..

The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g

Answers

The equation for constant proportionality is:

a = k • b where k is the constant

Since we are given the letter variables, replace a and b.

p = k • m

Part (a)

We know p = 55 cents when m = 220g, insert those values in equation:

55 = k • 220

55/220 = k

k = 1/4

Therefore, equation connecting p and m is:

p = 1/4 • m

Part (b)

We know p = 540 and we know k ( constant term )

540 = 1/4 • m

540 x 4 = m

m = 2160g

Part (c)

We know m = 115g, k is constant and therefore remains 1/4

p = 1/4 x 115g = 28.75 cents

~Hoodini, hope this helps.

You have a prepaid bus pass that has $10 on it. Every time you ride the bus it costs you 50 cents. Assume that you cannot put anymore money on the card after it is used. Create an equation for the situation above.

Answers

Answer:

y = 10 - 0.5x for 0 ≤  x ≤ 20

Step-by-step explanation:

Initial value = (0,10)

final value = (20,0)

Cost per trip = debit of 0.50 = slope

equation : y = 10 - 0.5x for 0 <=  x <= 20

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .

Answers

Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

A school contains 357 boys and 323 girls.

If a student is chosen at random, what is the probability that is a girl?

Correct your answer to 2 decimal places.

Answers

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0​

Answers

Use simultaneous equation with both equations, the value of x should not be possible therefore they do not intersect

how to do this question plz ​

Answers

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

Written Response! Please help!
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about her prediction?

Answers

Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.

To learn more about probability, please check: https://brainly.com/question/13234031

please help i will give out brainliest

Answers

Answer:

6, 0, 10

b

Step-by-step explanation:

Purple paint requires an exact mixture of blue and red. The ratio of blue paint to red paint is 2:5. Marissa needs 35 cups of purple paint to paint a wall. How much of each color would be needed to make a total of 35 cups of perfect purple paint?

Answers

Answer:

achievements

Step-by-step explanation:

can I get help with this question. I need to find the value of x​

Answers

Step-by-step explanation:

sides of 2 triangles are proportional

x/12=28/21

x=16

Answer:  16

=======================================================

Explanation:

The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21

The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12

-------

Set the two fractions equal to each other and solve for x

28/21 = x/12

28*12 = 21*x .... cross multiply

336 = 21x

21x = 336

x = 336/21 .... divide both sides by 21

x = 16

If 12^x = ^11√12, what value of x makes this equation true?

Answers

The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

y = 5x + 2 3x = –y + 10 What is the solution to the system of equations

Answers

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false

Answers

Answer:

Not True

Step-by-step explanation:

>_<

[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]

By first calculating the angle of LMN, calculate the area of triangle MNL. You must show all your working.

Answers

Answer:

16.66cm²

Step-by-step Explanation:

Given:

∆LMN with m<N = 38°

Length of side NL = 7.2cm

Length of side ML = 4.8cm

Required:

Area of ∆MNL

Solution:

Step 1: Find Angle LMN using the sine rule sin(A)/a = sin(B)/b

Where sin(A) = Sin(M) = ?

a = NL = 7.2cm

sin(B) = sin(N) = 38°

b = ML = 4.8cm

Thus,

Sin(M)/7.2 = sin(38)/4.8

Cross multiply

4.8*sin(M) = 7.2*sin(38)

4.8*sin(M) = 7.2*0.6157

4.8*sin(M) = 4.43304

Divide both sides by 4.8

sin(M) = 4.43304/4.8

sin(M) = 0.92355

M = sin-¹(0.92355) ≈ 67.45°

Step 2: Find m<L

angle M + angle N + angle L = 180 (sum of angles in a triangle)

67.45 + 38 + angle L = 180

105.45 + angle L = 180

Subtract 105.45 from both sides

Angle L = 180 - 105.45

Angle L = 74.55°

Step 3: Find the area of ∆MNL using the formula ½*a*b*sin(C)

Where,

a = NL = 7.2 cm

b = ML = 4.8 cm

sin(C) = sin(L) = sin(74.55)

Thus,

Area of ∆MNL = ½*7.2*4.8*0.9639

= ½*33.31

= 16.655

Area of ∆MNL ≈ 16.66cm²

Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?

Answers

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

Consider the following quadratic equation. -4x^2+bx-11=0 Determine a possible value of b so that the quadratic has two complex solutions.

Answers

Answer:

Step-by-step explanation:

hello,

for [tex]ax^2+bx+c=0[/tex]

[tex]\Delta = b^2-4ac[/tex]

so here

[tex]\Delta = b^2-4*(-4)*(-11)=b^2-176[/tex]

to have two complex solutions we need [tex]\Delta < 0\\[/tex]

so [tex]b^2<176[/tex]

[tex]<=> b < \sqrt{176}=13.266...[/tex]

for instance we can take b = 0

hope this helps

Answer:

The correct answer is 12.

Step-by-step explanation:

i got it correct on my test, thanks to comment on the question above.

Pqrs is a rhombus. Find x, y and z. Justify your finding.

Answers

Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

Find the value of y.

Answers

197 degrees because 365 degrees minus “x”=168 equals 197
y is equal to 197 degrees

please help !! what’s the answer? i don’t understand !!

Answers

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

0.992⇒1m x(the new rate) ⇒1000m x= 0.992*1000= 992

in the function y+3=(1/3x)^2, what effect does the number 1/3 have on the graph, as compared to the graph of y=x^2

Answers

Answer:

I think the answer is it stretches the graph horizontally by a factor of 3.

Step-by-step explanation:

Answer: it stretches the graph horizontally by a factor of 3

Step-by-step explanation: I got it correct on a-pex

PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!

Answers

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

Learn more about octagons here:

https://brainly.com/question/30182906

#SPJ4

Complete the table for different values of X in the polynomial expression -7x^2+32x+240. Then, determine the optimal price that the taco truck should sell it’s tacos for. Assume whole dollar amounts for the tacos.

Answers

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the largest possible number of girls in the group

Answers

Answer:

72

Step-by-step explanation:

We are assuming that all girls in the group bought the same number of items.

Therefore, we need to find the highest common factor of 72, 144 and 216.

HCF

72 = 2 * 2 * 2 * 3 * 3

144 = 2 * 2 * 2 * 2 * 3 * 3

216 = 2 * 2 * 2 * 3 * 3 * 3

The product of the emboldened numbers is the highest common factor.

That is:

2 * 2 * 2 * 3 * 3 = 72

Therefore, the largest possible number of girls in the group is 72.

PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!! 5 stars and a thanks!!!! 50 POINTS!!! Type out how you would explain the color blue to a blind person. The blind person has been blind ever since he was born. This is a real challenge question.

Answers

Answer:

As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person.  Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors.  Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.

Hope it helps <3

p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...

need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX

Answers

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

BRAINLIEST PLS

              -ZYLYNN JADE

Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

Other Questions
Dudley is a manager at the SuperCuts franchise. He has had to fire two employees because they were treating walk-in customers with disdain and thus turning away business. Once those employees were gone, he trained new employees on how to greet customers. Business has been improving and he has realized how important personnel are for a retail business. What role do the personnel play at his SuperCuts franchise? The market value of which of the items would be considered double (or multiple) counting in the calculation of GDP? Indicate the following that they are included in GDP or not included in GDP.a. a used skateboard you buy for your brotherb. the commission paid to the seller of a previously owned collectors skateboardc. a new building for tony hawk industriesd. used copy of the tony hawk video gamee. previously owned collectors skateboardf. ticket for the X games bought from a person on a street cornerg. new skateboard you buy for your nieceh. Wheels used to produce a skateboard that will be sold new What is the basic purpose of cellular respiration? What are the reactants and products of cellular respiration overall? Also, give a basic description of the three main stages of cellular respiration (glycolysis, Kreb cycle, and the electron transport chain) What are some ways to create a good conclusion of an essay? An 88.0 kg spacewalking astronaut pushes off a 645 kg satellite, exerting a 110 N force for the 0.450 s it takes him to straighten his arms. How far apart are the astronaut and the satellite after 1.40 min? Match each polynomial expression to its additive inverse.6x-x-26x2 - x+26x2 - x+26x2 + x + 26x+x-26x2 + x-26x2+x-2-6,2-x+2 HELP ASAP HELP PLEASE ASAP match the descriptions with the historical figures that they describe Select the correct answer.Which sentence best describes what an auxiliaire mdical is?OA.C'est un professionnel charg d'teindre les incendies.OB.C'est un professionnel charg d'administrer les premier soins.OC. C'est un professionnel charg d'tablir la discipline et l'ordre.OD.C'est un professionnel charg d'excuter la loi. FIND THE MISSING LENGTH INDICATED Can someone help me with this question please? Which of the following statements are true (mark all that apply) primordial nucleosynthesis produced all of the elements heavier than helium chemical composition of our solar system matches the chemical composition of the Milky Way some of the stars in the Milky Way may be older than the Milky Way your body contains a lot of helium nearly all atoms of elements heavier then helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars some of the oldest galaxies are about 13.2 billion years old nucleosynthesis is a process through which the atoms of various elements are produced you're mainly made of hydrogen Please answer this correctly Tango is a form of music and dance that can be heard and seen in Argentina. True False Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer. If the 2412 leaves are not a random sample, but the researchers treated the 2412 leaves as a random sample, this most likely made the data more:_____________.1. accurate, but not precise2. precise, but not accurate3. neither4. both accurate and precise In October of the current year, received a $15,520 payment from a client for 32 months of security services she will provide starting on September 1 of this year. This amounts to $485 per month. Janine is a calendar-year taxpayer.a. When must Janine recognize the income from the $17,360 advance payment for services if she uses the cash method of accounting?1. Year 12. Year 23. Year 04. Year 1 and year 25. Year 0 and year 1b. When must Janine recognize the income from the $17,360 advance payment for services if she uses the accrual method of accounting?1. Year 0 and Year 12. Year 03. Year 14. Year 1 and Year 25. Year 2c. Suppose that instead of services, Janine received the payment for a security system (inventory) that she will deliver and install in year 2. When would Janine recognize the income from the advance payment for inventory sale if she uses the accrual method of accounting and she uses the deferral method for reporting income from advance payments? For financial accounting purposes, she reports the income when the inventory is delivered.1. Year 22. Year 13. Year 04. Year 0 and year 15. Year 1 and year 2d. Suppose that instead of services, Janine received the payment for the delivery of inventory to be delivered next year. When would Janine recognize the income from the advance payment for sale of goods if she uses the accrual method of accounting and she uses the full-inclusion method for advance payments?1. Year 12. Year 1 and year 23. Year 24. Year 0 and year 15. Year 0 A special tax was levied by Downtown City to retire and pay interest on general obligation bonds that were issued to finance the construction of a new city hall. Where are the receipts from the tax recorded?a. Capital Projects Fund b. Special Revenue Fund c. Debt Service Fund d. General Fund e. None of the above The payroll register for Gamble Company for the week ended April 29 indicated the following: Salaries $1,560,000 Social security tax withheld 93,600 Medicare tax withheld 23,400 Federal income tax withheld 312,000 In addition, state and federal unemployment taxes were calculated at the rate of 5.4% and 0.6%, respectively, on $260,000 of salaries. Required: a. Journalize the entry to record the payroll for the week of April 29. b. Journalize the entry to record the payroll tax expense incurred for the week of April 29. you get a hangover many hours after drinking excessivily because