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ycow [4]
3 years ago
13

The formula F=9/5C+32 shows how to convert degrees Celsius, C to degrees

Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

hi how are you doing today

Step-by-step explanation:

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If the terminal point of ø is (1,0), what is tan ø?
charle [14.2K]

Given:

The terminal point of \phi is (1,0).

To find:

The value of \tan\phi.

Solution:

If the terminal point of \theta is (x,y), then

\tan \theta=\dfrac{y}{x}

It is given that the terminal point of \phi is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

\tan \phi=\dfrac{0}{1}

\tan \phi=0

Therefore, the value of \tan \phi is 0.

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The ratio of boys to girls in history class is 4to5 how many girls are in class if there are 12 boys in the class
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Read 2 more answers
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)
vichka [17]

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\

Apply substitution to get

y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right)  + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x)  + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x)  + \left(a - 6b\right)\cos(x) = \sin(x)\\\\

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0
2 years ago
Mrs.Alvarado gets a raise that increases their income to $6,500 a month. Their mortgage stays the same. What percent of their mo
kipiarov [429]
Less than what they used to, if you would let me know what the mortgage is per month, I could calculate it. 
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