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Licemer1 [7]
2 years ago
13

What is the area of this figure? Enter your answer in the box.

Mathematics
2 answers:
Alex_Xolod [135]2 years ago
8 0

Answer: 70

Step-by-step explanation: math

Talja [164]2 years ago
6 0

Answer:

33 or 900

Step-by-step explanation:

10+18+5= 33

10x18x5=900

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x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
A television regularly selling for $500 is marked down to $300.  
Igoryamba
He saves $200 (the amount of change over the original amount $500

200/500  = 2/5  and 2/5 = 40%  (divide 2 by 5 and get .4 which = 40%)

40% discount is the answer to your question
3 0
3 years ago
Clark decides to share his 53 M&M's with four friends. If he divides the M&M's evenly amongst everyone (himself included
velikii [3]

Answer:

1 m&m

Step-by-step explanation:

in order to find out how many will be left you will make the number of m&ms even causing it to have an even amount left over.

5 0
2 years ago
Bradly completed 0.8 of his homework and Max completed 8% of his homework. Who completed more of their homework? How do you know
Helga [31]

Answer:

Bradly finished more

Step-by-step explanation:

0.8 is equal to 8/10, which is equal to 80/100, which is equal to 80%, whereas Max is 8%. 80 > 8.

4 0
2 years ago
Read 2 more answers
Question 1
gulaghasi [49]

Answer:

217

Step-by-step explanation:

124/4 = 31

31*7 = 217

3 0
2 years ago
Read 2 more answers
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