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

Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more copies did Yuri make than Nathan?

Answers

Answer:

Yuri made 947 more copies than Nathan.

Step-by-step explanation:

Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.

Thus, Yuri made 947 more copies than Nathan.  

Given m|n, find the value of x.
t
156°
х.

Answers

Answer:

i think the answer would be 156° .

hope it helps you ^.^

An equilateral triangle has a side length of 10 units. What is it’s area?

Answers

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?

Answers

4:15 he finished at 4:15

Select all the expressions that equal 4 x 106.

(2 x 108) (2 x 10-2)

40 x 105

1.2x10°

3x102

406

400,000

Answers

None of the choices equal 424

Find the surface area.

Answers

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________​

Answers

Answer:

$2666.66

Step-by-step explanation:

Yearly income = $32000

Each installment is 1/12 of a yearly income:

$32000/12 = $2666.66

Annual salary=32000

Monthly salary

32000/1216000/68000/3$2666.67

The length of a rectangle is 3 inches more than three times it's width. Write an equation relating the length, “, of the rectangle to its width, w.

Answers

An equation relating the length of the rectangle to its width would be, “l+3=w”. The length plus 3 inches would be equal to the width.

I need help with solving this equation.​

Answers

Answer:

66 m².

Step-by-step explanation:

From the question given above, the following data were obtained:

Diagonal 1 (d₁) = 11 m

Diagonal 2 (d₂) = 12 m

Area (A) =?

The area of a rhombus when the diagonals are given can be obtained as follow:

A = ½(d₁d₂)

A = ½ × (11 × 12)

A = ½ × 132

A = 66 m²

Thus, the area of the rhombus is 66 m²

4 Does the equation y = x represent a function? Explain why or why not.

Answers

Answer:

y=x is a function!

Step-by-step explanation:

The reason it is a function is because it can create a:

A slope

A why y and x intercept

and a graph

Remember that x=1 and Y=1 ALWAYS

What's 2+2 ?

First one to answer gets cash prize!

Answers

Answer:

4

(if this is a joke then the answer's 5, a fish, etc...)

Answer:

4

Step-by-step explanation:


Given the diagram below, find the value of x.
A
14
B
X
с
30
The value
of x is?

Answers

Answer:

yes 11000

Step-by-step explanation:

1 4/8 - 7/8 what is the answer​

Answers

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Select the correct answer.
Which statement is true?
A.
The mean lies to the right of the median for a positively skewed distribution.
B.
The mean lies to the left of the median for a positively skewed distribution.
C.
The mean lies to the left of the median for a symmetric distribution.
D.
A distribution skewed to the right is said to be negatively skewed.
E.
A distribution skewed to the left is said to be positively skewed.

Answers

Answer:

The correct answer would be The mean lies to the left od the median for a positively skewed distribution

Step-by-step explanation:

Answer: The mean lies to the left odd the median for a positively skewed distribution

someone please help me answer this!!

Answers

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in


!!WILL MARK BRAINLIEST!!

(08.01 MC)
Find the height of a square pyramid that has a volume
of 32 cubic feet and a base
length of 4 feet. (1 point)
1) 2 feet
2) 4 feet
3) 6 feet
4) 8 feet
Saved
Question 5 (1 point)
(OB.02 MC)

Answers

Answer:

4) 8

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Formula: V=1/3Bh

V=1/3(4×4)6

V=1/3(16)6

V=1/3(96)

V=96÷3

V=32

(P.S.-The capital 'B' in the formula stands for the area of the square base)

Hope this helped :)

In APQR, what is the mZQ? Enter your answer in the box.

Answers

Answer:

∠Q = 105°

Step-by-step explanation:

(6x + 5) + (11x - 5) + x = 180°

combine like terms:

18x = 180°

x = 10°

∠Q = 11(10) -5 = 105°

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.

a. The normal approximation to the binomial
b. The exact binomial tables

Answers

my brain can't process this lol

find the value of x

help please !

Answers

Answer:

56°

Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124

Now you subtract 124 from 180 and then you get 56

So the answer would be 56° :)

Help with number 3 please :)

Answers

Answer:

32

You’re... welcome?

Answer:

32

Step-by-step explanation:

The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.


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

I need help with this question please

Answers

9514 1404 393

Answer:

  y = -x -2

Step-by-step explanation:

The line crosses the y-axis at y = -2, so that is the y-intercept.

The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.

  m = rise/run = -3/3 = -1

Then the slope-intercept equation is ...

  y = mx +b . . . . . slope m, y-intercept b

  y = -x -2 . . . . . . . using m=-1, b=-2

What is 2/3 of 9?
2
3
6
7

Answers

Answer: 6

Step-by-step explanation:

2/3 of 9 is basically 2/3 times 9

Answer:

6, because this and that is this and that bam boom bap, just trust me bro

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Yes

Yes

No

No

Step-by-step explanation:

Brainliest for both correct answers

Answers

Answer:

Question 1: A

Question 2: D

Step-by-step explanation:

I hope it helps

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.

Answers

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that [tex]\sigma = 15, \mu = 590[/tex]

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{605 - 590}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?

Answers

Answer:

6m by 8m by 10m

Step-by-step explanation:

6²+8²= 100

36+64=100

100=100

Help me please I’m not smart -

Answers

don’t use any links, there scams!

PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!


A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.


Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?


A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

Answers

It would have to be the last one: Online customers buy an average of 6 packs compared with walk-in customers, who buy an average of 2 packs.
This is because more online customers buy the 6 pack than any other pack while the walk-ins buy mainly the 2 packs.

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.​

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...

  (x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))

  (x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)

__

It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.

Other Questions
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary. Find the equation of the line pls helppppppp Drag each tile to the correct location. Match each political party to its description. democrats republicans sympathized with African Americans sympathized with Southern extremists such as the Ku Klux Klan won the election of 1876 tried to uphold the Enforcement Acts of 1870 and 1871 threatened a filibuster during the election of 1876 Every gallon of gasoline contains 9 kilograms of carbon dioxide. A hybrid car (a car that uses both gasoline and battery power) will emit 23 kilograms of carbon dioxide for every 100 miles travelled. A conventional car will emit 34 kilograms for every 100 miles travelled. If you and your family take a 1000 mile trip in your new hybrid car, how much less carbon dioxide would you release into the atmosphere than if you were to take the same trip in your old gas powered car? All of the following resulted from the Fugitive Slave Lawin the Compromise of 1850 EXCEPTA) Increased fear of "Slave Power" in the national governmentB)Friendly cooperation between the North and South began tooccurC)Citizens in New England were required to enforce a law thatwent against their stances on slaveryD)People of color moved to Canada what is the first 5 cubic numbers What do tornadoes and hurricanes have in common Justin completes 8 extra credit problems on the first day and then 4 problems each day until the worksheet is complete. There are 28 problems on the worksheet. Write and solve an equation to find how many days it will take Justin to complete the worksheet after the first day. What are the coordinates of point A In the second sentence of the first paragraph, the author uses the phrases brightest blazes, kindled, and unexpected sparks in order toA. emphasize the element of spontaneity in pleasureB. argue that pleasure is short-livedC. highlight the dangerous nature of excessive pleasureD. assert that pleasure is intellectually enlighteningE. characterize pleasure as an extremely rare experience If the two triangles are similar,what is the length of the missing side? (2/5)^3=anybody help??? can someone help me with this please which do you prefer: digital art or more traditional (ex. drawing, painting, sketching) art styles and why? Only answer if i can use your answer in my project (you will remain anonymous) Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?Choose all answers that apply:(Choice A)The subset consists of all the outfits that do not have a white shirt.(Choice B)The subset consists of all the outfits that have either a blue shirt or a black shirt.(Choice C)The subset consists of all the outfits that have a black shirt.(Choice D)The subset consists of all the outfits that have a white shirt. what's the answer !![tex] \sqrt{44 \times 2 \times 2 \times 11} [/tex] 58 38 =________ pls help me A quienes superaron los Incas en los conocimientos cientficos?a. a los Zapotecasc. a los Mayas y Aztecasb. a los Toltecasd. a los MixtecosPlease select the best answer from the choices provided How could you use the treated wastewater to recharge the aquifer? Constantine created the first Christian empire. t or f