Find the angle 0,in radians, in the given right triangle. The length of the side adjacent to 0 is 17
and the length of the side opposite is 11.

I'm guessing you mean

[tex]\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx[/tex]

First, compute the quotient:

[tex]\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}[/tex]

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

[tex]\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52[/tex]

So the integral becomes

[tex]\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}[/tex]

We can simplify the result somewhat:

[tex]\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}[/tex]

Answer:a= 7

Step-by-step explanation:

Answer:

Fareed

Step-by-step explanation:

All the other people have complications that won't let them be on every floor, but Fareed can.

Answer:

B

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

c ≤ 4

Interval Notation:

( − ∞ , 4]

Answer:

8*(-4)^(n-1)

Step-by-step explanation:

The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).

Answer:

acute

Step-by-step explanation:

Angles between 0 and less than 90 are acute

A 90 degree angle is right

Greater than 90 and less than 180 is obtuse

180 degree angles are straight

45 degrees is less than 90 so it is acute

Answer: acute

Step-by-step explanation: if angle is between 0 and 90 degrees, it is acute

sorry pls ignore this answer

but I think it's 10

[tex]\\ \sf\longmapsto \sqrt{5 {ab}^{2} } \\ \\ \sf\longmapsto \sqrt{5 \times 5 \times {2}^{2} } \\ \\ \sf\longmapsto \sqrt{25 \times 4 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

Answer:

∠AOB + ∠BOC = ∠AOC we will be using this equation

x = 21   this is the value of x

Step-by-step explanation:

Angle AOC = 84

Angle AOB = 3x

Angle BOC = x

it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC

now lets make the equation we that we will be using

∠AOB + ∠BOC = ∠AOC

3x + x = 84

4x = 84

x = 84 ÷ 4

x = 21

Step-by-step explanation:

Here, we have,

AOC=84°

AOB=3x

BOC=x

Now, the required equation will be;AOC=AOB+BOC[whole part axiom]

or, 84°=3x+x

or, 84°=4x

or, 84°÷4=x

or, x=21°

Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.

9514 1404 393

Answer:

  47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

  sin(T)/t = sin(R)/r

  sin(T) = (t/r)sin(R) = (10/20)sin(104°)

  T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

  S = 180° -R -T = 180° -104° -29°

  ∠S = 47°

[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]

[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]

[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]

[tex]\\ \sf\longmapsto\infty-\infty[/tex]

[tex]\\ \sf\longmapsto\infty[/tex]

Answer:

A. 158

Step-by-step explanation:

Angle ABC and Angle ECF have the same tick mark(little line over the angle). The means they are congruent, the same. Since Angle ECF + Angle DCE = 180 degrees, 180 - 22 is the measure of angle DCE, or 158. You're welcome, and brainliest me.

Wanted to add that this is not at all college math. This like middle school lvl bro.

Answer:

a^(m-n)

Step-by-step explanation:

We have

a^m / a^n

Exponent rules state that

a^m / a^n = a^(m-n)

false

false

false........

false

Answer:

it extends forever in one direction. so false i guess

Step-by-step explanation:

Answer:

x = -0.5

y = 2

Step-by-step explanation:

(2(-0.5)+3(2), 4) = (5, 2(2))

(-1 + 6, 4) = (5, 4)

(5, 4) = (5, 4)

Step-by-step explanation:

a proportional or similar shadow uses the same factor for each line/dimension.

so, since the height of the proportional rectangle is 4 times longer than the height of the original rectangle, then also the width must be 4 times longer.

heightP = 12 cm = f × height = f × 3 cm

f = 12/3 = 4

widthP = f × width = 4 × 5 = 20 cm

9514 1404 393

Answer:

  $9072

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  A = MN . . . . . . M = payment = $189. N = number of payments = 48.

  A = $189 × 48 = $9072

The total amount paid is $9072.

Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

Answer:

the answer for question 1 is -7

Answer:

2.4 put a bar over the 4 because it is repeating

Step-by-step explanation:

22/9 =

22 divided by 9

equals

Answer:

$79.50

Step-by-step explanation:

1. $350 + $210 + $100 + $294 = $954

2. $954 ÷ 12 = 79.50

Raul monthly expense is $79.50.

Here,

In filing his income​ tax, Raul reported annual contributions of ​$350 350 to a public radio​ station, ​$210 210 to a public tv​ station, ​$100 100 to a local food​ bank, and ​$294 294 to other charitable organizations.

We have to find Raul's monthly expense.

What is total amount?

A total is a whole or complete amount.

Now,

Raul's annual expense = $350 + $210 + $100 + $294

                                   = $954

Hence,

Raul's monthly expense =  954/12

                                     = 79.50

So, Raul monthly expense is $79.50.

Learn more about the total amount visit:

https://brainly.in/question/45320943

#SPJ2

Step-by-step explanation:

steps are in the picture above.

Answer:

0. 8064

Step-by-step explanation:

Look at the Image

in this case, we are looking at a length × width equation. this equation gives you the area of the gym. so the answer is B.

Answer:

B

Step-by-step explanation:

L× w = area of a rectangle

Answer:

[tex]\displaystyle \text{d. }y=\frac{-6}{x}[/tex]

Step-by-step explanation:

If two values [tex]x[/tex] and [tex]y[/tex] are inversely proportional, their product is always some maintained constant (the product of [tex]x[/tex] and [tex]y[/tex] is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.

Therefore, we can simply find this constant by multiplying the given values of [tex]x[/tex] and [tex]y[/tex]:

[tex]xy=k,\\6\cdot (-1)=-6[/tex]

The constant [tex]-6[/tex] must be maintained as the product of [tex]x[/tex] and [tex]y[/tex] for all values of [tex]x[/tex] and [tex]y[/tex] for them to be inversely proportional. Thus, we have the equation:

[tex]xy=-6[/tex]

Divide both sides by [tex]x[/tex] to isolate [tex]y[/tex]:

[tex]\boxed{y=\frac{-6}{x}}[/tex]

Answer:

d. [tex]\displaystyle y = \frac{-6}{x}[/tex]

Step-by-step explanation:

The fastest way to do this is to simply plug in whatever the exercise gave to you into each answer choise to figure out which one fits the best.

I am joyous to assist you at any time.

Answer:

A) y=-7

Step-by-step explanation:

we talking about the better pond right?

Answer:

what to do which lesson of ath

Answer:

l.c.m of 100,150,200

Step-by-step explanation: