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
VikaD [51]
3 years ago
8

Whats the area of a quarter-circle with diameter of 4 meters

Mathematics
2 answers:
KengaRu [80]3 years ago
7 0

Answer:

B, C, E  

Trust ;)

kkurt [141]3 years ago
5 0
The answer is 3.14 m

The area (A) of the circle with radius r is: A = π · r²
The area of the quarter of the circle is: A1 = 1/4A = 1/4 · π · r²

We have:
A1 = ?
r = ?
π = 3.14
d = 4 m

A diameter d is the twice of the radius r: d = 2r.
Therefore, the radius is the half of the diameter: r = d/2
So, the area of the quarter circle would be:
A1 = 1/4 · π · r² = 1/4 · π · (d/2)² =1/4 · π · d²/2² = 1/4 · π · d²/4 = 1/16 · π · d²

A1 = 1/16 · π · d² = 1/16 · 3.14 · 4² = 1/16 · 3.14 · 16 = 3.14 m
You might be interested in
A surveyor standing at A notices two posts B and C on the opposite side of a canal. The posts are 120m apart. If the angle of si
AveGali [126]

Unfortunately there isn't enough information.

Check out the diagram below. We have segment BC equal to 120 meters long. Points B, C, D and E are all on the edge of the same circle. According to the inscribed angle theorem, angles BDC and BEC are congruent. This shows that the surveyor could be at points D or E, or the surveyor could be anywhere on the circle. There are infinitely many locations for the surveyor to be at, which leads to infinitely many possible widths of this canal.

5 0
2 years ago
For which system of equations is (2, 2) a solution?
Eva8 [605]
Answer D.

Insert (2, 2) in for x and y in the equations.

2(2)+ 3(2) = ?
? = 10
4(2) + 5(2) = ?
? = 18
8 0
3 years ago
What is the product of -9(5-2x)
nata0808 [166]
-45+18x is the answer
Hope this helped <3
5 0
3 years ago
Read 2 more answers
sam goes to lunch with a friend. the total cost of the lunch is $15 . sam leaves $1.50 as a tip. what percent of total did he ti
gavmur [86]
It should be a 10% tip. To simplify the answer, The decimal moves one space (which would be equal to a tenth) so it’s a 10%
7 0
3 years ago
Apply the method of undetermined coefficients to find a particular solution to the following system.wing system.
jarptica [38.1K]
  • y''-y'+y=\sin x

The corresponding homogeneous ODE has characteristic equation r^2-r+1=0 with roots at r=\dfrac{1\pm\sqrt3}2, thus admitting the characteristic solution

y_c=C_1e^x\cos\dfrac{\sqrt3}2x+C_2e^x\sin\dfrac{\sqrt3}2x

For the particular solution, assume one of the form

y_p=a\sin x+b\cos x

{y_p}'=a\cos x-b\sin x

{y_p}''=-a\sin x-b\cos x

Substituting into the ODE gives

(-a\sin x-b\cos x)-(a\cos x-b\sin x)+(a\sin x+b\cos x)=\sin x

-b\cos x+a\sin x=\sin x

\implies a=1,b=0

Then the general solution to this ODE is

\boxed{y(x)=C_1e^x\cos\dfrac{\sqrt3}2x+C_2e^x\sin\dfrac{\sqrt3}2x+\sin x}

  • y''-3y'+2y=e^x\sin x

\implies r^2-3r+2=(r-1)(r-2)=0\implies r=1,r=2

\implies y_c=C_1e^x+C_2e^{2x}

Assume a solution of the form

y_p=e^x(a\sin x+b\cos x)

{y_p}'=e^x((a+b)\cos x+(a-b)\sin x)

{y_p}''=2e^x(a\cos x-b\sin x)

Substituting into the ODE gives

2e^x(a\cos x-b\sin x)-3e^x((a+b)\cos x+(a-b)\sin x)+2e^x(a\sin x+b\cos x)=e^x\sin x

-e^x((a+b)\cos x+(a-b)\sin x)=e^x\sin x

\implies\begin{cases}-a-b=0\\-a+b=1\end{cases}\implies a=-\dfrac12,b=\dfrac12

so the solution is

\boxed{y(x)=C_1e^x+C_2e^{2x}-\dfrac{e^x}2(\sin x-\cos x)}

  • y''+y=x\cos(2x)

r^2+1=0\implies r=\pm i

\implies y_c=C_1\cos x+C_2\sin x

Assume a solution of the form

y_p=(ax+b)\cos(2x)+(cx+d)\sin(2x)

{y_p}''=-4(ax+b-c)\cos(2x)-4(cx+a+d)\sin(2x)

Substituting into the ODE gives

(-4(ax+b-c)\cos(2x)-4(cx+a+d)\sin(2x))+((ax+b)\cos(2x)+(cx+d)\sin(2x))=x\cos(2x)

-(3ax+3b-4c)\cos(2x)-(3cx+3d+4a)\sin(2x)=x\cos(2x)

\implies\begin{cases}-3a=1\\-3b+4c=0\\-3c=0\\-4a-3d=0\end{cases}\implies a=-\dfrac13,b=c=0,d=\dfrac49

so the solution is

\boxed{y(x)=C_1\cos x+C_2\sin x-\dfrac13x\cos(2x)+\dfrac49\sin(2x)}

7 0
3 years ago
Other questions:
  • It takes Nate five hours to paint a wall, and it takes Jill seven hours to paint the same wall. About how many hours will it wil
    8·1 answer
  • Find all points on the x axis 5 units away from the point (4,-4)
    11·1 answer
  • The moon is 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
    15·1 answer
  • Function P is a linear function with a Y-intercept of 5.Function Q is defined by the equation Y=-1/3x +4.What statement must be
    10·1 answer
  • Evaluate *<br> g(x) = x – 2x2 find g(-3) + 13
    13·1 answer
  • 186:403 in simpleast form<br><br>​
    8·1 answer
  • How are the place value positions to either side of a particular number related
    15·1 answer
  • Dexter earns no less than 50$,but no more than 100$.which inequality can be used to represent his earnings,e?
    8·1 answer
  • What is the equation of the line shown in this graph?
    10·1 answer
  • A/b x 8c<br> when a=2/3<br> b=1/2<br> c=3/4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!