adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°

Adjacent Leg - Hypotenuse = 0.139a. 14opposite Leg - Adjacent Leg = 0.249b. 28opposite Leg - Hypotenuse

Answers

Answer 1

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°


Related Questions

A triangle has side lengths of 6,9, and 17. Is this possible or impossible

Answers

Answer:

impossible

Step-by-step explanation:

the formula for triangle sides is a^2 + b^2 = c^2

and these numbers dont equal that

Given the table below, what is the x-intercept of the linear function?

Answers

Answer:

-6

Step-by-step explanation:

Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:

A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answers

9514 1404 393

Answer:

  D)  (0, -5)

Step-by-step explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

__

If we consider only the case of x=0, then the solution space reduces to ...

  -8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

  (0, -5) is a solution

Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.

Answers

Answer: 4.3

Step-by-step explanation:

11x2=22

22/3= 7.3

7.3-3= 4.3

Two sides of a right triangle have lengths of 78 inches and 30 inches. The third side is not the hypotenuse. How long is the third side ?

Answers

Answer:

the answer is 72 inches

Step-by-step explanation:

a²+b²=c²

a²+900=6084

a²=5184

a=72

Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number

Answers

hello! hope this helps you

Answer: 3 1/3

Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.

Hope it helps :) and look at pic below.

Gordon decided on purchasing a $141,000 home. At closing he brought a check for $7570. The closing costs were as follows: Title Fee $545 Processing Fee $2100 Appraisal $695 Based on this information, how many points did Gordon purchase? O A. 2 B. O C. 1 OD. 3​

Answers

Answer:

D. 3 points purchased

Step-by-step explanation:

Took the bullet

Option D is correct, based on the information Gordon purchased 3 point

What is Fraction?

A fraction represents a part of a whole.

Given that Gordon decided on purchasing a $141,000 home.

At closing he brought a check for $7570.

One point is equal to 3% of the total loan amount, so the cost of one point would be:

Cost of one point = 3% of $130,090

Cost of one point = $3,902.70

To find out how many points Gordon purchased

we need to divide the total cost of points by the cost of one point:

Number of points = Total cost of points / Cost of one point

Number of points = $10,910 / $3,902.70

Number of points = 2.8

=3

Therefore, based on the information Gordon purchased 3 points, Option D is correct.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

What is the range of y=4sin(x)-2

Answers

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

What is the surface area of the cylinder shown below? Use 3.14 for π.


A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2

Answers

it is C

Step-by-step explanation:

i did the test

Answer:

The answer is actually B.

Step-by-step explanation:

I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)

The area of the trapezium is four times the area of the parallelogram. Work out the value of x

Answers

Answer:

2.5cm

Step-by-step explanation:

area of trapezium = 4 * area of parallelogram

1/2(a+b)*h=4* bh

1/2(5+11)*4= 4* 3.2x

8*4=4*3.2x

8/3.2=x

2.5cm=x

What is the conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976?

Answers

The frequency data table is missing, so i have attached it.

Answer:

0.5

Step-by-step explanation:

We want to find conditional relative frequency and conditional relative frequency is used to compare the frequency count to the marginal total that represents the particular condition we are dealing with.

In this case, the condition is the popular vote of the state being won by the Democrat in 2012, given that the same popular vote was won by the Democrat in 1976.

In the frequency data table attached, we see that the joint frequency count for Democrat winning in 1976 and 2012 is given as 12.

While the corresponding marginal frequency total is given as 24.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976:

 

We need to discover conditional relative recurrence and conditional relative recurrence is utilized to compare the recurrence number to the minimal add up to that speaks to the specific condition we are managing with. In this case, the condition is the prevalent vote of the state being won by the Democrat in 2012, given that the same prevalent vote was won by the Democrat in 1976. In the recurrence information table joined, we see that the joint recurrence check for Democrat winning in 1976 and 2012 is given as 12.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976 is 0.5.

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https://brainly.com/question/19845631?referrer=searchResults

Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle

Answers

There is 1200 mL in his bottle

Hi anyone here for talking​

Answers

Answer:

yessssssssss.........

Hi pls help ASAP no links or you will be reported and terminated. Pls and Thx.

Answers

perimeter- 10x+2x^2
area- ?

Answer:

Area = [tex]x^{2} +2x+2[/tex]

Perimeter = [tex]4x+1[/tex]

Step-by-step explanation:

So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s

add that together you get [tex]x^{2} +2x+2[/tex]

Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.

In total that is [tex]4x+1[/tex]

5/9 divided by 8/= ?

Answers

the answer is 0.06944 or as a fraction 5/72

Which pair of expressions are equivalent?


27x + 45y and 7(9x + 7y)

2x + 18y and 2(x + 9y)


2(15x + y) and 30x + 15y


10(4x + 5y) and 20x + 10y

Answers

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.

Answers

Answer:

[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]

[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]

[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]

Step-by-step explanation:

Given

[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]

Solving (a): The marginal density of X

This is calculated as:

[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]

[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]

[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]

Integrate

[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for y

[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]

[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]

Solving (b): The marginal density of Y

This is calculated as:

[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]

[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]

[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]

Integrate

[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for x

[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]

[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]

[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]

Solving (c): The probability that the drive-through facility is busy less than one-half of the time.

This is represented as:

[tex]P(x>0.5)[/tex]

The solution is as follows:

[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]

Represent as an integral

[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]

Integrate w.r.t. x

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]

[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]

[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]

[tex]P(x>0.5) =\frac{1.25}{3}[/tex]

Express as a fraction, properly

[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]

[tex]P(x>0.5) =\frac{5}{12}[/tex]


Please help and stop with the links!

Answers

It C)
This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed

What’s the mean median mode and range of the data set 14,18,12,20

Answers

mean: the average of the values
16

median: the middle when in chronological order
16

range: highest value - lowest value
8

Answer:

....

Step-by-step explanation:

mean: 16

median: 16

there is no mode

range: 8

5. Which is the best estimate for the sum of 3/8 and 1/12?

Answers

The best estimate is 11/24.

To solve, find a common denominator between both 8 and 12. They can both multiply into 24.

To turn 8 into 24, you multiply by 3, so you must do the same with its numerator. To turn 12 into 24, you multiply by 2, so again, you must do the same with its numerator:

3/8 ---> 9/24

1/12 ---> 2/24

Then, you can add the numerators together and keep the denominator 24:

9/24 + 2/24 = 11/24.

The graph below shows the solution set of which inequality ?? HELP FASTTT

Answers

Answer:

A.

The graph shows the solution set of the equality √x < -1

(No Solutions)

URGENT WILL GIVE BRAINLIEST

Answers

Answer:

40

Step-by-step explanation:

Write in order from least to greatest 0, 7, −2, |− 5|, 1.5, 0.7

Answers

Answer:-5,-2, 0, .7,1.5,7

Step-by-step explanation:

AS shown above

Please help me.......... ​

Answers

Answer:

I think it's 4.5

Step-by-step explanation:

I divided the servings by the packages and I got 4.5 for each of them.

$500 at 4% for 3 years
:FIND THE INTEREST EARNED

Answers

Answer:60$

Step-by-step explanation:

Will give BRAINLEST :)

Answers

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

PLEASE ANSWER ASAP FOR BRANILEST!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

40x +16y = ( + )
plz help me

Answers

Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

sorry to bother and all but i have no idea

Answers

Answer:

t=40

Step-by-step explanation:

first, add 21 to -21=0

to keep it balanced add 21 to 19=40

so t=40

hope this helps

Please Help! SCAMMERS WILL BE REPORTED. Use Gauss-Jordan elimination to solve the following linear system
-4x + 4y + 5z = 9
-2x + 2y + z = 3
-4x + 5y = 4

Answers

Answer:

This is possible and the answer is (-1,0,1)

Step-by-step explanation:

It’s difficult to write out matrices here.

I apologize!

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