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3 years ago

What is the length of the side opposite the 60 degree angle?

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

My guess is 30 because every triangle has to add up to 180. 90+60 is 150 180-150 is 30

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1.4 plus what equals 0.9

swat32

Answer: 2.3

Step-by-step explanation:

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3 years ago

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To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make a

ratelena [41]

Answer:

A) Henry’s cousin practices with the choir

Step-by-step explanation:

becuase it says "Henry's cousin is a member of the choir."

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3 years ago

I need help with question 1. (a)(b)(c)

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Answer:

G(5)= 25-9= 16

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Step-by-step explanation:

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3 years ago

If 30 cookies will serve 10 students, how many cookies are needed for 15 students?

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3 years ago

For each initial value problem, determine whether Picard's Theorem can be used to show the existence of a unique solution in an

Alinara [238K]

Answer:

Part a: $f , \, f_y$ is continuous at the initial value (0,0) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.

Part b: $f_y$ is not continuous at the initial value (0,0) so due to Picardi theorem there does not exist an interval such that the IVP has a unique solution.

part c: $f , \, f_y$ is continuous at the initial value (0,1) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.

Step-by-step explanation:

Part a

as $y^{' }=ty^{4/3}$

Let

$f(t,y)=ty^{4/3}$

Now derivative wrt y is given as

$f_y=\frac{4}{3}ty^{1/3}$

Finding continuity via the initial value

$f$ is continuous on $R^2$ also $f_y$ is also continuous on $R^2$

Also

$f , \, f_y$ is continuous at the initial value (0,0) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.

Part b

as $y^{' }=ty^{1/3}$

Let

$f(t,y)=ty^{1/3}$

Now derivative wrt y is given as

$f_y=\frac{1}{3}ty^{-2/3}$

Finding continuity via the initial value

$f$ is continuous on $R^2$ also $f_y$ is also continuous on $R^2$

Also

$f_y$ is not continuous at the initial value (0,0) so due to Picardi theorem there does not exist an interval such that the IVP has a unique solution.

Part c

as $y^{' }=ty^{1/3}$

Let

$f(t,y)=ty^{1/3}$

Now derivative wrt y is given as

$f_y=\frac{1}{3}ty^{-2/3}$

Finding continuity via the initial value

$f$ is continuous on $R^2$ also $f_y$ is also continuous on $R^2$ when $y\neq 0$

Also

$f , \, f_y$ is continuous at the initial value (0,1) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.

6 0

3 years ago