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3 years ago

If tan theta = 12/5 and cos theta =-5/13 what is sin θ

Mathematics

1 answer:

Troyanec [42]3 years ago

8 0

I believe this: -12/13 <--- ANSWER

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What is 14% of $59.99 and how do I figure this problem?

serious [3.7K]

Is/of =%/100 so x/59.99=14%/100 Cross multiply to get the answe

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2 years ago

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Which value of a would make the expression 5 1/3 divided by 4/a equivalent to a whole number?

Leya [2.2K]

9514 1404 393

Answer:

a = any positive multiple of 3

Step-by-step explanation:

You want ...

(5 1/3)/(4/a) = whole number

(16/3)·(a/4) = whole number

(4a/3) = whole number

This will be the case for a = 3n, for any positive integer n.

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2 years ago

How do we translate a statement into an inequality

ludmilkaskok [199]

You look for certain key words. The expression "at least" means "greater than or equal to." The expression " is no more than" means "less than or equal to." A sum means an addition. A difference is a subtraction. There are many other words that you need to look out for and translate into math symbols.

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3 years ago

Integration of ∫(cos3x+3sinx)dx

Murljashka [212]

Answer:

$\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}$

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

$\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx$

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
Now , Rewrite using du and u .

$\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}$

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3 years ago

The number 2.31 x 10 to the power of x is 2,200 times greater than 1.05 x 10 to the power of y.

Goshia [24]

Answer:

x - y = 3

any values of x& y where x is three greater than y

I.E. x = 8 y = 5

Step-by-step explanation:

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3 years ago