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3 years ago

I need to know How do I find ab?

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

The angle is called an hypotenuse and to find it just use the Pythagorean Theorem which states a squared+b squared= c squared, does this answer your question or do you need more help?

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Which is the correct solution to the expression 3 + 5^2?

Sindrei [870]

3 + 5² =

3 + 25 =

28 (your answer)

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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 .

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

6 0

3 years ago

Given 6 terms what is the sum of 10+25+40+...+85

sdas [7]

Sn = n/2 ( a1+an)
= 6/2 (10+85)
= 3 (95)
= 285

3 0

3 years ago

What is the quotient. 4x^2+25x+12 divided by x+5

AveGali [126]

4x2 - 25x + 27

——————————————

x + 5

3 0

3 years ago

Read 2 more answers

If f(x)=4x^2+1 and g(x) =x^2-5 find (f-g)(x)

docker41 [41]

Answer:

$\huge\boxed{(f-g)(x)=3x^2+6}$

Step-by-step explanation:

$(f-g)(x)=f(x)(x)\\\\\text{substitute}\ f(x)=4x^2+1\ \text{and}\ g(x)=x^2-5\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)=4x^2+1-x^2+5\\\\\text{combine like terms}\\\\(f-g)(x)=(4x^2-x^2)+(1+5)=3x^2+6$

6 0

4 years ago