3 years ago

The sum of two numbers is 150. The larger number is 20 more than the smaller number

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

the smaller number is 65

the larger number is 85

Step-by-step explanation:

Hope this helps! :)

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Consider the initial value problem y′′+36y=2cos(6t),y(0)=0,y′(0)=0. y″+36y=2cos⁡(6t),y(0)=0,y′(0)=0. Take the Laplace transform

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Recall the Laplace transform of a second-order derivative,

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Here, both $y(0)=y'(0)=0$ , so taking the transform of both sides of

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gives

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3 years ago

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

mart [117]

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

$AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10$

Now, you can proceed:

$\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}$

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