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Wewaii [24]
3 years ago
14

Enter the perimeter of a 30°-60°-90° triangle with a hypotenuse of 20. Round your answer to the nearest tenth. You can leave the

units off. *
Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

47.3

Step-by-step explanation:

as shown above ,this question can be solved using trigonometry and hence we get the perimeter to be 47.3

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Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
3 years ago
Someone plz help!! Also plz explain how you got that answer so I can do the rest!
zlopas [31]
What is the question you are trying to answer? The question got cut off?
8 0
3 years ago
2) Caculate the unit rate. Paying $28 for 8 pounds of pears. What is the cost per pound of pears?
I am Lyosha [343]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Chord AC intersects chord BD at point P in circle Z.
Sliva [168]
1. To solve this exercise, you must use the "Intersecting chords theorem".

2. You have that:

AP=3.5 in
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3. Then, by applying the "Intersecting chord theorem", you have:

(AP)(PC)=(BP)(DP)

4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:

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5. Now, you must clear BP. Then:

(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP

6. Therefore, the value of BP is:

BP=5.25 in
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4 years ago
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You have $9.33. You buy 7 items that cost $0.87 each. How much money do you have left?
liberstina [14]

Answer:

$3.24

Step-by-step explanation:

0.87 x 7 = 6.09

9.33 - 6.09 = 3.24

3 0
4 years ago
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