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
Hunter-Best [27]
2 years ago
5

An angle measures 28º less than the measure of its complementary angle. What is the measure of

Mathematics
1 answer:
GuDViN [60]2 years ago
5 0

Answer:

Let the angle=x

So the other angle will be = y

X-28 +y=90

You might be interested in
What is the answer to this problem
Svetlanka [38]
Answer: P = $47,120.53
4 0
2 years ago
How many tenths are in one whole?how many hundredths?
Nat2105 [25]
10/10 in 1 whole and 1/100 in one whole
4 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
What is the equation for the line in slope-intercept form?
asambeis [7]
Y=4x i believe is the answer
3 0
2 years ago
Read 2 more answers
Pleaseee help!! ill Mark brainliest!!​
Greeley [361]
There is a pattern of 8 after each number (b)

For 8, it's 6.2 . For 9, it's 7.0 (or 7)
8 0
3 years ago
Read 2 more answers
Other questions:
  • How do i solve this? i need help
    14·1 answer
  • How to find the third side of a non right triangle?
    13·1 answer
  • You divide a number by 3 add 6 then subract 7 the result is 4
    7·1 answer
  • Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x) <br><br> 41/3
    13·1 answer
  • What is the point slope form of y=3x-8 (6,1)?
    14·1 answer
  • Pleaseee help me this is my last question
    15·2 answers
  • I have a piece of string that is 5ft and 7 inches. How many inches is the string. (include the inches 2 steps)​
    10·1 answer
  • The ordered pair (2,-5) is a solution to which of the following systems of equations
    12·1 answer
  • Yalll n-4 = 3n + 6 do me a favah
    10·2 answers
  • Simplify the expression with nested parentheses.<br> 430+ 26+6−33
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!