1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa [10]
3 years ago
8

Can u guys PLEASE answer this question ASAP. THIS IS EXTREMELY URGENT. 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?
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

68,67 cm^2

Step-by-step explanation:

Let's calculate first the total area of pastry that we have.

Let A be that area.

The pastry has rectangular form so its area is:

● A = width × length

The width here is 16 and the length is 20

● A = 20 × 16

● A = 320 cm^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the are of the 20 pastry circles

Let A' be the area of one circle.

● A' = Pi × r^2

r is the radius wich is the diameter over 2.

● d/2 = 4/2 = 2 cm

● A' = Pi × 2^2

● A' = 4Pi cm^2

The area of 20 pastry circles is 20A'

● 20A'= 20 × 4 × Pi

● 20A'= 80Pi

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let A" be the area of the remaining pastry

● A" = A-20A'

● A" = 320 - 80Pi

● A" = 68.67 cm^2

You might be interested in
The average adult male panda weighs about 1 1/5 times as much as the average adult female. If the average weight off of as male
Lemur [1.5K]

Answer:

275 pounds

Step-by-step explanation:

330 ÷ 1.2= 275

(1.2 representing 1 1/5)

7 0
3 years ago
A rectangle has a length (2x−5) and a width of (x−3) . What is the area of the rectangle?
mrs_skeptik [129]

Answer:

2x² - 11x + 15

Step-by-step explanation:

Find the area of the rectangle by multiplying the length and width together, using FOIL

(2x - 5)(x - 3)

Multiply the first terms:

(2x)(x) = 2x²

Multiply the first term in the parentheses by the last term in the second set of parentheses:

(2x)(-3) = -6x

Multiply the second term in the first set of parentheses by the first term in the second set:

(-5)(x) = -5x

Multiply the last terms:

(-5)(-3) = 15

Add these all together, then add like terms

2x² - 6x - 5x + 15

2x² - 11x + 15

So, the area of the rectangle is 2x² - 11x + 15

4 0
3 years ago
As an estimation we are told £3 is €4.
poizon [28]

Answer:

€113.87

Step-by-step explanation:

Amount = £85.40 * €4/£3 = €113.87.

3 0
3 years ago
Read 2 more answers
Part A: Victor is studying for his Finais. He spends 1/3 of an hour studying for History, 2/3 an hour
Elan Coil [88]

Answer:

3 3/4

Step-by-step explanation: all that you have to do is add 1/3 +2/3+11/4 which gives you 3 3/4

4 0
2 years ago
A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0
3 years ago
Other questions:
  • Whats the answer to (2w - 9) + (-4w -5)
    6·2 answers
  • Can Anyone Help me with my math work?
    15·2 answers
  • Drag the values to order them from least to greatest, with the least at the top.
    7·1 answer
  • Can someone explain how to simplify rational expressions in a simple way I don't understand thanks :(
    5·1 answer
  • FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?
    6·1 answer
  • Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3
    8·2 answers
  • I need help fast, thanks :)
    11·1 answer
  • PLEASE HELP 46 POINTS!!!
    12·1 answer
  • Which of the following values are solutions to the inequality 3x+10\ge 2?3x+10≥2?
    5·1 answer
  • the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high? p
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!