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
mart [117]
3 years ago
14

A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

You might be interested in
4 7/8 + (-6 1/4) how do I find common denominators?
xxTIMURxx [149]
I hope this helps you

4 0
4 years ago
The kitchen is 20 feet long and 10 feet wine how many square feet of flooring does Bob need to buy​
insens350 [35]

Answer:

200 ft squared of   W I N E

Step-by-step explanation:

W I N E

3 0
3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
How to Simplify: (a + 2)(3a - 1')
IrinaVladis [17]
3a to the power of 2 plus 5a minus 2
3 0
3 years ago
What is 28:36 in simplest form
xeze [42]
It would be 7:9 because if you divide each side by 4 then you can get it in simplest form
6 0
3 years ago
Read 2 more answers
Other questions:
  • On a certain hot​ summer's day,
    15·1 answer
  • Write the equation in Slope - intercept form by solving for y. 2x+3y=12
    5·2 answers
  • If john had 1000 and maddy had 60000 how many do you have
    8·1 answer
  • Can anyone please help me with my math homework!!!
    15·1 answer
  • Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an
    14·1 answer
  • In circle O, central angle AOB measures StartFraction pi Over 3 EndFraction radians What is the length of arc AB? 6π cm 12π cm 1
    5·2 answers
  • Jack divided his fortune of 92,000 into 8 equal parts. he gave 4 parts to his wife, 1 part to his son and divided the last 3 par
    6·1 answer
  • 6 1/3 - 5 4/9 what is this answer?​
    12·2 answers
  • Helpppppppppp plz..............
    10·1 answer
  • Find the value of X. Show your work.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!