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.

Answers

Answer 1

9514 1404 393

Answer:

  0.574305 radians

Step-by-step explanation:

The tangent ratio is defined as ...

  Tan = Opposite/Adjacent

  tan(θ) = 11/17

  θ = arctan(11/17) ≈ 0.574305 radians

_____

Make sure your calculator is in Radians mode.


Related Questions

What’s equivalent to this

Answers

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)

PLEASE HELP!!!
Which graph represents the solution set of this inequality?

10c + 5 ≤ 45

Answers

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]

(root 5ab2) where a =5 and b= 2​

Answers

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]

Integral of x"2+4/x"2+4x+3

Answers

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]


66. Evaluate 4a2+3 when a=5

Answers

Plug in 5 for a.

4(5)(2)+3

Then do order of operations (PEMDAS)

4x5=20, 20x2=40, 40+3=43

Question 3 of 20
A rectangular school gym has a length of x + 14 and a width of x - 20. Which
measure does (x + 14)(x-20) represent?
A. The perimeter of the gym
B. The area of the gym
C. The height of the gym
D. The volume of the gym
SUBMIT

Answers

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

how do you write 2 4/9 as a decimal

please help

4
2 --
9​

Answers

2.444444444444444444444444444444

Answer:

2.4 put a bar over the 4 because it is repeating

Step-by-step explanation:

22/9 =

22 divided by 9

equals

If
a
=

5
x
a=−5x and
b
=

x
+
4
i
b=−x+4i, then find the value of
a
2
b
a
2
b in fully simplified f

Answers

Answer:

what to do which lesson of ath

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Answers

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.

A ray extends forever. True or false

Answers

false

false

false........

false

Answer:

it extends forever in one direction. so false i guess

Step-by-step explanation:

Given that the mean of a set of data is 25 and the standard deviation is 3,
what is the coefficient of variation?

A) 0.12
B) 12%
C) 8.33
D) 833%

Answers

coefficient of variation CV =std/mean *100%
CV = 3/25 *100%
Cv = 12%


Lines k and I are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.

What is the measure of angle DCE?
Α. 158
B. 73
C. 124
D. 22

Answers

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.

Help me in math please this is my last question btw

Answers

Answer:

A) y=-7

Step-by-step explanation:

we talking about the better pond right?

In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.

Answers

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°

. What is the total cost of 6 books at N8.50k each?​

Answers

Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

A rectangle has a height of 3 cm and width of 5cm. A proportional rectangle has a height of 12cm. What would be the width?

Answers

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

Find the equation of a line passing through the point of intersection of line 2x+y-8=0 and 3x-4y=3 and is parallel to line Y=2x-8​

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

PLS HELP!! Will give brainliest!

Angle AOC measures 84 degrees. Angle AOB = 3x and BOC is x

First, write the equation you would use to find the answer then find the value of x

Answers

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°.

Express the terms of the following geometric sequence by giving an explicit formula. 8 , -32 , 128 , -512 , 2,048 , ...

Answers

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).

what is 0.112 times 7.2 and how to solve the problem

Answers

Answer:

0. 8064

Step-by-step explanation:

Look at the Image

I will mark brainliest!!

Answers

Answer:

Fareed

Step-by-step explanation:

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

What type of angle is it

Answers

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

If a= 2,b= -1,c= -3 and d = -2 evaluate the following Q1. ab-3b+4d , Q2. 5abd+3bc-2ax and Q3. 2(ab)^2+bc^2​

Answers

Answer:

the answer for question 1 is -7

PLEASE HELP

1= a-13/-6

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:a= 7

Step-by-step explanation:

) Find the value of 'x' and 'y' if ( 2x+3y,4) = ( 5 , 2y).​

Answers

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)

brainiest to whoever right

Answers

We can see : ST = SM + MT
= x + 12 + 8x - 2
= (x + 8x) + (12 - 2)
= 9x + 10
So ST = 9x + 10

Hope it helps! If it is, Brainliest please!

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
a. y = 6/x
b. y = -12x
c. y= -6x
d. y= -6/x​

Answers

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.

Find LCM for the following usin devision method
a. 200

Answers

Answer:

l.c.m of 100,150,200

Step-by-step explanation:

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 what's the monthly expense?

Answers

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

can anyone plz with steps

Answers

[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]

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