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andreev551 [17]
3 years ago
8

A triangle has dimensions 3,4, and 5. A similar triangle is drawn with a scale factor of 2. What are the dimensions of the new t

raingle?
Mathematics
1 answer:
kumpel [21]3 years ago
7 0
5,8, and 10 because you're scale factor is by 2, so you multiply your originals by the scale factor<span />
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X'+7x=5cos(2t), x(0)=0
Digiron [165]
The ODE is linear. Multiplying both sides by e^{7t} allows you to condense the left hand side as the derivative of a product.

x'+7x=5\cos2t
e^{7t}x'+7e^{7t}x=5e^{7t}\cos2t
\dfrac{\mathrm d}{\mathrm dt}\left[e^{7t}x\right]=5e^{7t}\cos2t

Integrating both sides with respect to t yields

e^{7t}x=5\displaystyle\int e^{7t}\cos2t\,\mathrm dt

The integral can be done by parts. You should get

e^{7t}x=\dfrac5{53}e^{7t}(7\cos2t+2\sin2t)+C
x=\dfrac5{53}(7\cos2t+2\sin2t)+Ce^{-7t}

With the given initial condition, you have

0=\dfrac5{53}(7+0)+C\implies C=-\dfrac{35}{53}

So the particular solution to the ODE is

x=\dfrac5{53}(7\cos2t+2\sin2t)-\dfrac{35}{53}e^{-7t}
7 0
4 years ago
What is the location of (-3,-4) after it has been reflected over the x axis? 1) New ordered pair 2) Explain what changes in the
geniusboy [140]

Answer:

The new ordered pair would be (-3, 4)

Step-by-step explanation:

The change would just be a change of the symbol of the y value. This is because a reflection over the x-axis will not change the x value and will give you a y on the other side.

3 0
3 years ago
A bicycle went 120 miles in 5 hours. A motorcycle is three times as fast as the bicycle. Find the speed of motorcycle.
dalvyx [7]
If the bicycle went 120 miles in 5 hours, and the motorcycle was three times as fast as the bicycle, then the motorcycle went 480 miles in 5 hours.
8 0
4 years ago
Which of the following is not a long term debt?
IgorLugansk [536]

Answer:

1. Paying off your credit card each month

2. Mortgage

3. ?

4. All of the above

I'm not sure about the 3rd question.

7 0
3 years ago
Another KA question pls answer lol
FinnZ [79.3K]

Answer:

-40m + 24

Step-by-step explanation:

to answer this question you should distribute the -8 to all the digits

-8m + 24 -32m

then you can add like terms

-8m and -32m become -40m

-40m + 24 is the answer

4 0
2 years ago
Read 2 more answers
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