Search cos jk and tan jk knowing that sin jk = 8/3

Answers

Answer 1

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i


Related Questions

Find the third side in simplest radical
form:
3
5

Answers

Answer:

4?

Step-by-step explanation:

Jason was hired to mow a lawn that covers an area of 2 3/4 acres. It took him 4 1/8 hours to complete the job. What was his unit rate in hours per acre?

In this activity, you will multiply the numerator in a complex fraction by the reciprocal of the denominator to calculate a unit rate involving fractions. Answer the questions below to calculate Jason’s unit rate as he mowed.

Answers

Answer:

2 3/4 = 11/4

4 1/8 = 33/8

11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3

He mowed 2/3 of an acre per hour

Step-by-step explanation:

Romb ma obwód równy 32 cm. Jakie jest pole tego rombu, jeżeli jego wysokość ma 3 cm?

Answers

Answer:

24 cm²

Step-by-step explanation:

Z zadanego powyżej pytania uzyskano następujące dane:

Obwód (obwód) = 32 cm

Wysokość (h) = 3 cm

Obszar rombu (A) =?

Następnie określimy długość boku rombu. Można to uzyskać w następujący sposób:

Obwód, czyli obwód (P) = 32 cm

Strona (y) =?

P = 4 s

32 = 4 s

Podziel obie strony przez 4

s = 32/4

s = 8 cm

Stąd długość boku rombu wynosi 8 cm

Na koniec określimy obszar rombu w następujący sposób:

Długość boków = 8 cm

Wysokość (h) = 3 cm

Obszar rombu (A) =?

A = sh

A = 8 × 3

A = 24 cm²

Dlatego obszar rombu jest

24 cm².

What is the smallest integer value of r for which it is true that -2.5 < r < 7?

Answers

Answer:

[tex]r = -2[/tex]

Step-by-step explanation:

Given

[tex]-2.5 < r < 7[/tex]

Required

Determine the smallest value or r

For an inequality [tex]a < r < b[/tex]

The smallest value is represented as:

[tex]r>a[/tex]

In this case:

[tex]a = -2.5[/tex]

[tex]b = 7[/tex]

So:

[tex]r>a[/tex] becomes

[tex]r > -2.5[/tex]

r > -2.5 implies that the value of r is greater than -2.5

The smallest integer value after -2.5 is -2

Hence, the smallest value of r in this case is:

[tex]r = -2[/tex]

simplify the expression 3 √ 2 - 5 √ 18​

Answers

−12√2
(mark brainliest if correct plss)

Use the functions to answer the question: What is f(x)-g(x)?

Answers

Answer:

4x^2 + 6x - 6

Step-by-step explanation:

x^2 + 2x - 5 - (-3x^2 - 4x + 1)

x^2 + 2x - 5 + 3x^2 + 4x - 1

4x^2 + 6x - 6

Plug in the equations and combine like terms.

Hope this helps!

2/8 is considered a real number. True or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

2/8

÷2

1/4

1/4=0.25

1/8=0.25

A triangle has two sides of length 5 and 19. What is the smallest possible whole-number length for the third side?​

Answers

Answer:

13

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

19 - 5 < x < 19 + 5

14 < x < 24

Thus the smallest whole number length of the third side is 13

The small zoo at Nichols Park charges $8 for adult admission, $5 for child admission (18 years old and under), and $3 for senior admission (60 years old and over). For one day, the zoo collected $539 and admitted 96 visitors. If the adult admission is 9 more than the senior admission, how many persons of each category were admitted on this particular day?

Answers

Answer:

32 seniors, 41 adults, and 23 children were admitted.

Step-by-step explanation:

To make things a bit simpler, we can represent all three kinds of tickets in terms of one variable, [tex]x[/tex]. Let the number of senior visitors be [tex]x[/tex]. Then, since 9 more adults were admitted as compared to the seniors, we can let the number of adult visitors be [tex]x+9[/tex]. Therefore, since there were 96 visitors in total, we know that the number of child visitors is 96 subtracted by the total number of adult and senior visitors. The total number of adult and senior visitors is [tex]x+x+9=2x+9[/tex]. Thus, the number of child visitors is [tex]96-(2x+9)=96-2x-9=-2x+87[/tex].

Now, all we have to do is write an equation to solve for [tex]x[/tex]. Since senior admission costs $3, we can represent the money earned from it as [tex]3*x=3x[/tex]. Since adult admission costs $8, we can represent the money earned from it as [tex]8*(x+9)=8x+72[/tex]. Finally, since child admission costs $5, we can represent the money earned from it as [tex]5*(-2x+87)=-10x+435[/tex]. Since we know that the zoo collected $539 in total, we can write the following equation to solve for x:

[tex]3x + 8x+72-10x+435=539[/tex]

[tex]x+507=539[/tex] (Simplify LHS)

[tex]x=32[/tex] (Subtract 507 from both sides)

Therefore, 32 seniors were admitted. Since [tex]x=32, x+9=32+9=41[/tex], so 41 adults were admitted, and finally, since [tex]x=32,-2x+87=-2*32+87=-64+87=23[/tex], so 23 children were admitted. Hope this helps!

44 is 2 thirds of a number, what is the number?

Answers

Answer:

The number is 66

Step-by-step explanation:

Since 44 is two thirds of a number, 44/x = 2/3

If you multiply the numerator and denominator of 2/3 by 22, you get 44/66

Since 44/x = 44/66,

x=66

If 44 is 2 thirds of a number, then the number is 77.

We can solve this problem by setting up the following equation:

2/3 * x = 44

Where x is the unknown number.

To solve for x, we can multiply both sides of the equation by 3/2. This gives us the following equation:

x = 44 * (3/2)

Simplifying the right side of the equation, we get x = 77.

Therefore, the number is 77.

Here is the solution in more detail:

Define the variables.

x: The unknown number.

Set up the equation.

We know that 2/3 of the number is 44, so we can set up the equation 2/3 * x = 44.

Solve for x.

To solve for x, we can multiply both sides of the equation by 3/2. This gives us the equation x = 44 * (3/2).

Simplifying the right side of the equation, we get x = 77.

The answer.

Therefore, the number is 77.

To learn more about number here:

https://brainly.com/question/3589540

#SPJ2

if you can buy three loaves of bread for $5 how many loaves can you buy with $12.

Answers

Answer:

45

Step-by-step explanation:

You can buy 3 and have a leftover $2.

please help me!! :)​

Answers

Answer:

C is your answer

Step-by-step explanation:

Is -8 a solution to the equation 8x +2=3x + 13

Answers

Answer:

No.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8x + 2 = 3x + 13

Step 2: Solve for x

Subtract 3x on both sides:                    5x + 2 = 13Subtract 2 on both sides:                      5x = 11Divide 5 on both sides:                          x = 11/5

Pls help I put a pic of problem

Answers

Answer:

a

Step-by-step explanation:

The answer to it is a

PLEASE HELP THIS IS THE THRID TIME I POSTED THIS

Answers

equation:    f(x) = 3/2x - 3

the line is linear and proportional

the line is linear because it has a steady rate of change, which is 3/2, and the equation is in the y=mx+b form. it is also proportional because as the x value increases, the y value also increases.

slope: 3/2

the y intercept is -3


Sara says, "If you subtract 14 from my number and multiply the difference by - 4, the result is - 44."
What is Sara's number?

Answers

Answer: I believe that the answer would be 25.

Step-by-step explanation:

HOPE IT HELPS :)

Find the value of x.
m22 = 3x + 13
40°
N
X=

Answers

Step-by-step explanation:

ttgiffkydfhigdfgkfee FM 8

pleeeese help. the question is easy

Answers

Answer:

the answer is : -2x^2+13

Step-by-step explanation:

pls mark brainliest plspls

oh and btw hows ur day been going, hope good, make sure to not forget to drink water :)

evaluate-a-function f(x) = [tex]\frac{x}{7}[/tex] f(7) =

Answers

Step-by-step explanation:

Hey there!

f(x) = 7/x

~ Simply keep the "7" in the place where "x" is there.

[tex]f(7) = \frac{7}{7} [/tex]

Therefore, X= 1.

Hope it helps....

Answer:

After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

Step-by-step explanation:

We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)

For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]

So, putting x= 7 and finding f(7)

[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]

So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?

18
54
126
108

Answers

Given:

Consider the three point of second line are S, R, V instead of S, R, W.

A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.

[tex]\angle VRW=(3x)^\circ[/tex]

[tex]\angle TRS=(2x+18)^\circ[/tex]

To find:

The m∠SRW.

Solution:

The figure according to the given information is shown below (not to scale).

From the below figure it is clear that, [tex]\angle VRW[/tex] and [tex]\angle TRS[/tex] are vertically opposite angles. So, their measures are equal.

[tex]3x=2x+18[/tex]

Subtract 2x from both sides.

[tex]3x-2x=18[/tex]

[tex]x=18[/tex]

Using x=18 the measure of angle VRW is

[tex]\angle VRW=(3x)^\circ[/tex]

[tex]\angle VRW=(3\times 18)^\circ[/tex]

[tex]\angle VRW=54^\circ[/tex]

Now,

[tex]\angle VRW+\angle SRW=180^\circ[/tex]       [Linear pair]

[tex]54^\circ+\angle SRW=180^\circ[/tex]

[tex]\angle SRW=180^\circ-54^\circ[/tex]

[tex]\angle SRW=126^\circ[/tex]

Therefore, the correct option is C.

Answer:

126

Step-by-step explanation:

i just got the right answer

Which measure Is the sarne as the standard error of the mean?

A. Standard devlation of the population
B. Standard devlation of the sample means
C. mean of the sarnple
D. mean of the population

Answers

Answer:

The answer is B.

Step-by-step explanation:

The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution.

Formula of the standard error of the means is standard deviation divided by square root of the sample size.

SE = δ/√n

This formula also gives the standard deviation of the sample means.

The answer is standard deviation of the sample (B).

For example, "The notation for standard error can be any one of SE, SEM (for standard error of measurement or mean)."

2.3 + 12.3x = 14.6 whats x?

Answers

Answer:

x = 1

Step-by-step explanation:

12.3 + 2.3 = 14.6

If you multiplied 12.3 by 1 it would still be 12.3

Which inequality is shown in this graph?

Answers

Answer:

the constant inequality of my life, always close but never there

Hi, I still have to struggle with this and it's due later today! If someone could show me how to do it I will make you're a brain list and give you 28 points I need help w part C to E. I would appreciate it.

Answers

Answer:

C) Explain how the equations are equal and just prove it with a check or just plug in a number like for ex: x=1 and I checked with both and it equals out.

d) Use inverse operations (or you can say do the order of operations in reverse and then use invers operations), provide an example if you think what you said doesn’t make sense, like for

Ex: 2x-1=43+5x

     2x=44+5x (add the -1)

     -3x=44  (subtract 5x to both sides)

       X=44/-3 (isolate the variable by dividing 3 on both sides)

An example is always better

E) Just use inverse operations and solve it like what you would normally do

I hope I helped

Find the product of 6/7•5/7​

Answers

Hey there!

The word “product” simply means the result of a multiplication equation

MULTIPLY the NUMERATORS (TOP numbers) from each other and also MULTIPLY the DENOMINATORS (BOTTOM number) from each other

6(5) / 7(7) = ?

6(5) = 30 ⬅️ NUMERATOR

7(7) = 49 ⬅️ DENOMINATOR

Possible ANSWER: 30/49

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Plz help me my maths hw is due in a couple of hrs!!!

Answers

The answers are in the picture
Have agreat day

It takes one pizza to feed three people. How many pizzas will it take to feed forty-eight people?

Answers

Answer:

option 3-- 16 pizzas

Step-by-step explanation:

divide 48 by 3 = 16

Answer:

16 pizzas will feed 48 people

Step-by-step explanation:

If 1 pizza feeds 3 people it will take 16 pizzas to feed 48.

48/3=16

From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to look up a 40° angle to see the top of the same building approximately how tall is the building

Answers

I would say approx 110ft. I’m not certain.

I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

For this case, what we must do is solve the following system of equations:  tan (50) = h / x  tan (40) = h / (x + 50)  

Solving the system we have:  (x + 50) * tan (40) = h  (x) * tan (50) = h  

Matching:  (x + 50) * tan (40) = (x) * tan (50)  

Rewriting:  x (tan (50) - tan (40)) = 50 * tan (40)  x = 50 * tan (40) / (tan (50) - tan (40))  x = 118.9692621  

Substituting:  h = (x) * tan (50)  h = (118.9692621) * tan (50)  h = 141.7820455

B. 141.8ft

PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
You buy one can of Red Bull for $2 and x bags of Skittles. Write an equation to model the total cost, y, of one can of Red Bull for $2 and x bags of Skittles. Next, what is the total cost if you buy 4 bags of Skittles?

Answers

Answer:

y = x + 2

Step-by-step explanation:

The total cost if you buy 4 bags of Skittles is $6.

A hot air balloon is dropping from a height above the ground at a steady rate of 8 feet per second. It starts from a height of 765 feet. After t-seconds it has hit a height of 421 feet. Set up and solve an equation for the value of t.

Answers

I believe the equation would be 765 -8t = 421. Then you would solve for t and get 43 seconds. I hope this helps!! :)
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