Twenty circular pieces of pastry, each of diameter 4 cm, are cut from a rectangular layer of pastry 20 cm long and 16 cm wide. What is the area, correct to two decimal places, of pastry remaining after the 20 pieces are removed?

Answers

Answer 1

Answer:

The area of the original pastry left is 68.67 cm^2

Step-by-step explanation:

firstly, we need the area of the original total pastry

Mathematically, we have this as the product of the side lengths

this would be 20 cm * 16 cm = 320 cm^2

Now, for the circular pastry, we have a diameter of 4 cm

The radius is half of this which is 4 cm/2 = 2 cm

The area of a circular pastry will be = pi * r^2

The area of 20 will be 20 times the above

so we have 20 * pi * 2^2 = 251.33 cm^2

So, to get the area left, we subtract this from the original area

that would be;

320 cm^2 - 251.33 cm^2 = 68.67 cm^2


Related Questions

How is the product related to the factor? 3/5 x 6/7 The product is less than 3/5 The product is greater than 6/7 The product is greater than 3/5 The product is equal to 3/5

Answers

Answer: The product is less than 3/5

Step-by-step explanation:

To know the solution, we have to multiply 3/5 by 6/7. This will be:

= 3/5 × 6/7

= 18/35

Note:

18/35 to decimal = 0.5143

3/5 to decimal = 0.60

6/7 to decimal = 0.8571

Therefore, we can see that the product is less than 3/5.

Please Help ASAP!!!!!!!!

Answers

Answer:

the answer is C

Step-by-step explanation:

lemme kno if i got it wrong !

Please help, solve for x. Due today and all I’ve gotten are links :(

Answers

Answer:

I think it might be 0 im not to sure.

If the $3.80 large popcorn was on sale for 25% off, what is the discounted price?

Answers

Answer:

2.85

Step-by-step explanation:

You will pay $2.85 for a item with original price of $3.80 when discounted 25%. In this example, if you buy an item at $3.80 with 25% discount, you will pay 3.80 - 0.95 = 2.85 dollars.

Answer:

2.85

Step-by-step explanation:

25%= 100÷25=4

3.80÷4 =0.95

25% of 3.80 = 0.95

discounted price:

3.80-0.95

=2.85

The volume of a cylinder is 756 cm3 . the radius of the base of the cylinder is 6 cm .
what is the height of the cylinder ?
The height of the cylinder is _ cm .
(Simplify your answer .)​

Answers

Step-by-step explanation:

volume of a cylinder =xr^2h

756=22/7×6^2h

756=22/7×36h

756=113.142h

756/113.14=h

h=6.7cm

What are the solutions to the quadratic equation 5x2 + 15x = 0?

Answers

x=-2/3

this is because 5x^2+15x=0 can be simplified to

Which equation shows that the Pythagorean identity is true for 0 = 180°?

Select the equation that is in the form sin^2 0 + cos^2 0 = 1.

O A. 1^2 + 0^2 = 1
O B. 0^2 + 1^2 = 1
O C. 0^2 + (-1)^2 = 1
D. (-1)^2 + 0^2 = 1

Answers

Option C is correct.

Which one of these number sentences is NOT true?
A: 600 cm = 6 m
B: 1 m < 9,000 mm
C: 900 mm = 9 cm
D: 10 km > 5,000

pls help!!

Answers

The answer to this problem will be d

Write a numerical expression for this number.

eight less than 5

Answers

Answer:

5-8

Step-by-step explanation:

5 - 8
|_| |__|————
| |
the five |
less than eight

Mr. Hamilton is going to get his halrcut today. The hair cut will cost $34. He also pays 4% sales tax. Is $40 sufficient to
cover the haircut with tax and a 15% tip.

Answers

Don’t check links because they lead to scams stuff

Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .

Answers

Answer:

the slope is -1/2 and the equation would be          y=   [tex]\frac{-1}{2}[/tex]x - 2

Step-by-step explanation:

QUIL - Level G p) The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. 0) Which model represents the situation? 10 d d d 19 What is the price of one drink?​

Answers

Answer:

a

Step-by-step explanation:

Enter the equation of the circle with the given center and radius.

Center: (0, 5); radius: 5

The equation of the circle is

Answers

Answer:

x^2+(y-5)^2=25

Step-by-step explanation:

since you have a 5 in the y thats why the 5 ends up where it does. Then the radius is squared which is why you end up with that in this

6.11 did you hear about puzzle

Answers

Answer:

The band that took on a soda? ___ become a pop song

Step-by-step explanation:

Naudia rode her bike two miles south. Then, she went east for three miles. How far is she from her starting point? Round your
answer to the nearest tenth.

Answers

You can see the answer down below

Naudia's distance from her starting point will be 3.60 miles.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that Naudia rode her bike two miles south. Then, she went east for three miles.

The distance will be calculated by using the Pythagorean formula.

c² = a² + b²

c² = 2² + 3²

c² = 4 + 9

c =  √13 = 3.60

Therefore, Naudia's distance from her starting point will be 3.60 miles.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Part of the population of 6,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 3 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
infected elk in the wildlife preserve.

Answers

Answer:

360 elk are likely to be infected.

Find the selling price of a 38$ item after a 50% markup

Answers

Answer:

$76

Step-by-step explanation:

yeah i can't really explain kinda complicated

What is the most common amount students grew Mr.Zhu’s class ? How can you tell from the line plot

Answers

Answer:aaahfjhahaha hahdgfgfghsahHSHHha ahahahshdhgshahahah shahahhahsgahahasghagagshah

Step-by-step explanation:

There is no line plot

what is the rate of change of y with respect of x for this solution

Answers

Answer:

5.2

Step-by-step explanation:

I need this done by tomorrow 2.

Answers

Answer:

The answer is 2 (3x - 1) × (2x + 3)

Hope it helps!!

A 71° D ? B. С Angle =​

Answers

Answer:

so u do 56596738465985873+77534-748=32

Step-by-step explanation:

Can anyone help me with this? I need this by tonight!

Answers

Answer:

i believe it's 992 i had this same question back in the day but i forget

Answer:

5x, I think

Step-by-step explanation:

7x-2 is 5x so I think that's what it is

Help plz I don’t have a lot of time what is the answer explain to me plz?!!! Plz don’t send a file it won’t work!

Answers

Answer:

what is the quenstion ?

Step-by-step explanation:

Happy Earth Day. Have a wonderful Day! If you answer you must give me ten Earth day Activities to answer. Thank you! (If you don't got 10 things don't answer.)

Answers

Answer:

1. Go around an pick up trash around your neighborhood

2. Separate all the recyclables

3. Work on a Garden

4. Plant something

5. Fund teamtrees.org

6. Tell a friend to do something on this list

7. Don't use any fossil fuel or electricity required things (Like your car, walk instead, or your phone)

8. Dont Eat at any fast food or gourmet restaurants.

9. Eat Healthier no factory produced foods

10. Go on Brainly.com and help some one with their question :D

(っ◔◡◔)っ ♥ Hope It Helps ♥ Please Consider giving Brainliest

Answer:

Any 10 earth day activities are:

cleanlinessplantation recycling plasticsAwarenesssanitation programmeinviting other to involve in environment preservationmanagement of sewage and garbage management of pure drinking watergiving training for management of waste .Visiting zoos,national parks for enjoying wildlife.

is 5(x+1) the same as 5x+1? Explain your answer.

Answers

No
5*x= x (correct)
5*1=5 (incorrect)
When I say correct or incorrect it means that it does/doesn’t match 5x+1

What is the measure of the angle x

Answers

Answer:

B

Step-by-step explanation:

please brainleist there is a 35 so to get the answer you will have to get 180-35 the 180 is the total distance of the angle which you will get 145°

B I am pretty sure good luck

What is the y-intercept of the line described below? y=3x+5

Answers

Answer:

The y-intercept is 5

Step-by-step explanation:

y=mx+b

m is your slope while b is your y-intercept

Therefore your y-intercept is 5

Your Welcome.

Answer:

The y intercept is 5

Step-by-step explanation:

Y=MX+B

B= the y intercept.

5 is in the spot for B

Therefor, 5 is the y intercept.

Hope this helps have a great day. :)

i really need help please help me

Answers

Answer:

The orginial angle is a right angle (however, the pair of angles would be classified as complementary angles); the value of x is 28.

Step-by-step explanation:

It's important to note that a right angle is always 90°.

90 - 56 = 34

Set up an equation to solve for x:

34 - 6 = x

34 - 6 = 28

28 = x

Now, check if the answer is correct.

Add up both angles' measurements:

56 + (28 + 6) = 90

Will give brainliest! Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compounded monthly. To the nearest whole dollar how much will be in your college fund after 12 years? (No links pls)
10629
10,800
11,178
13,398

Answers

Answer:

10629

Step-by-step explanation:

75 times 1.035 to the power of 144 is 10629 rounded :)

The answer is 10629
You have to move the annual rate decimals to make a whole number and multiply it by 75 then 12 years

If n = 3, what is the value of 2-n?
A 0.125
B 0.1667
C-6
D 8

Answers

Answer:

A... .................. ....

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