Measuring by using Trigonometry

Measuring By Using Trigonometry

Answers

Answer 1

Answer:

x approximately = 11.971, y approximately = 0.837

Step-by-step explanation:

the 12 ft is the hypotenuse of the right angle triangle formed

Cos (theta) = adjacent/hypotenuse

so Cos(4) = x/12, solving for x = 11.971

Sin(theta) = opposite/hypotenuse

so Sin(4) = y/12, solving for y = 0.837


Related Questions

help me with geometry please

Answers

answer

x=180-87-33

= 60

Answer:
x=60°

Step-by-step explanation:
87°+33°+x = 180° (Sum of interior angles of triangle )
120°+x=180°
x=180°-120°
x=60°

Sally has 24 cookies. She has to share the cookies with 3 friends. How can they split them evenly?

Answers

Answer:

They each get 8 cookies

Step-by-step explanation:

24 divided by 3 is 8. There are other ways if the question allows there to. be some cookies left over.

a herd of 27 horses and 4 white and some black horses. what is the ratio of white to black

Answers

Answer:

4:23

Step-by-step explanation:

4 to 23 is the ratio because if some is representing the rest of the horses then there is 23 black and 4 white so 4 to 23 is the ratio of white to black horses.

Hope it helps have a great day :)

Finding the measure of the angle indicated

Answers

Answer:

30

Step-by-step explanation:

the sum of the three angles in a triangle is 180

so we have,

70+70+x=180

140+x=180

x=180-140=40

now, find the sum of 40 and 63

it is 103

subtract,

180-103=77

add,

77+73=150

180-150=30

30

can you mark me brainliest

Answer:

34

Step-by-step explanation:

73 + 73 = 146

180 - 146 = 34

Have a good day!

The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's population?

Answers

P+4.3%=0 p=-4.3% for each year

How to find which trinomials are perfect square trinomials

Answers

Answer:

An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form

[tex]ax 2 + bx + c[/tex]

is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

what is the unit rate for 247 heartbeats in 612 minutes

Answers

Answer:

247/612

Step-by-step explanation:

247 heart beats / 612 minutes

beats/ minutes

What is the equation of a line that passes through (-1,2) and (1,8)?

Answers

Answer:

y=3x+5

Step-by-step explanation:

first you find the slope by doing rise over run. then you would put the slope into point-slope formula which is y-y1=m(x-x1), then you simplify into y=mx+b  (slope intercept form). which gets you your final answer.

help me please!! IM NEVER GONNA GET THIS DONEE

Answers

Answer:

105/120

48/120

50/120

Step-by-step explanation:

8, 5, 12

8 = 2³

5 = 5

12 = 2² × 3

LCD = 2³ × 3 × 5 = 8 × 3 × 5 = 120

120/8 = 15

7/8 = (7 × 15)/(8 × 15) = 105/120

120/5 = 24

2/5 = (2 × 24)/(5 × 24) = 48/120

120/12 = 10

5/12 = (5 × 10)/(12 × 10) = 50/120

what is y=-2(x+1)(x-2) in standard form​

Answers

[tex] \leadsto \tt y=-2(x+1)(x-2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2x {}^{2} + x + 2[/tex]

I need help please help!

Answers

Answer:

50.5 m^3

Step-by-step explanation:

Volume of pyramid = 1/3 × base area × height.

Height: 11Base Dimensions: 4.3 and 3.2

Area of Base:

[tex]4.3 * 3.2[/tex] [tex]13.76[/tex]  

Next, we multiply 13.76 by 11.

13.76 × 11151.36

Lastly, divide by 3 and round to nearest tenth.

151.36 ÷ 3  50.453333..≈ 50.5

Therefore, the answer is 50.5 m^3

(2,-2) and m=3 Find the slope intercept.

Answers

y= mx=b.y= 3x-8

Step-by-step explanation:

lmk if its wrong

5.4×18 =
pls explain properly​

Answers

Answer:

[tex]5.4x18 = 97.2[/tex]

Step-by-step explanation:

5.4

×

18

=97.2

Answer:

4x18=72 that's the correct answer I use calculator

During his career, Michael Jordan scored an average of 31 points per
game. ESTIMATE the number of points you would expect Michael Jordan
to score in 5 games.

Answers

155 just multiply 5 times 31 and you’ll get the answer

Mrs. Juarez graded ten English papers and recorded the scores.

92, 95, 100, 62, 88, 90, 100, 96, 89, 98

Which statements are true? Check all that apply.
The range of scores is 38.
Without the outlier, the range of scores would be 12.
The outlier impacts the range more than it impacts the interquartile range.
The interquartile range is 9.
The interquartile range is 4.
Without the outlier, the interquartile range would be 9.5.

Answers

Answer:

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Step-by-step explanation:

Table of ordered data

number of       value

data

1                      62

2                      88

3                      89

4                      90

5                      92

6                      95

7                      96

8                      98

9                    100

10                  100

Range of scores: 100 - 62 = 38

Oulier: 62 => Range without the outlier = 100 - 88 = 12

Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1

Quartlies of all the data:

1                      62

2                      88

3                      89 ---------------   first quartile, Q1 = 89

4                      90

5                      92

------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5

6                      95

7                      96

8                      98 ---------------- third quartile, Q3 = 98

9                    100

10                  100

=> IQR = 98 - 89 = 9 : the interquartle range is 9

Quartlies without the outlier:

2                      88

3                      89

------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5

4                      90

5                      92

6                      95 --------------- median, Q2 = 95

7                      96

8                      98

------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99

9                    100

10                  100

=> IQR = Q3 - Q1 = 99 - 89.5 =  : the interquartle range without the outlier is 9.5

Therefore, the outlier impacts more the range than it impacts the IQR.

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

help Pleaseeeeee im begging​

Answers

Answer:

The answer should be C

Answer:

[tex]f^{-1}(7)=2[/tex]

Step-by-step explanation:

[tex]f^{-1}(7)[/tex] means substitute x = 7 into the inverse function [tex]f^{-1}[/tex]

[tex]\implies f^{-1}(7)=\frac{7-1}{3} =2[/tex]

=
The scale on a map reads 0.5 inches = 75 miles. The distance between two
cities on the map is 3.25 inches, find the actual distance between the
cities.

Answers

Answer:

0.5inches=75miles

[tex]3.5 = 75 \times 7 = 525[/tex]

so it means the distance between the two towns is 525miles

It takes 3 hours of 10 pumps to pump 40000 liters of water into a farm dam.How long will it take nine similar pumps to pump 60000 liters of water into the dam

Answers

It will take 5 hours to pump 60000L of water using 9 pumps

Data;

10 pumps = 40000L in 3 hours9 pumps = 60000L in x hours

Rate of the Pump

Rate = Time * number of pumps

[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]

But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.

Rate = time * number of pumps

[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]

It will take 5 hours to pump 60000L of water using 9 pumps

Learn more on rate of flow here;

https://brainly.com/question/21630019

Use the figure for Exercises 17-23. Write true or false. If a statement is false,
rewrite it so it is true.

Answers

Answer:

17. False: ∠QUR is a right angle.

18. True

19. False: change supplementary into complementary.

20. True.

21. False: change 40 into 55.

22. False: change the second 150 into 30.

23. False: change 180 into 90.

Six students are running for the positions of president and vice-president, and five students are running for secretary and treasurer. If the two highest vote getters in each of the two contests are elected, how many winning combinations can there be?

Answers

Using the permutation formula, it is found that there can be 600 winning combinations.

There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem:

For president and vice-president, 2 students are chosen from a set of 6.For secretary and treasurer, 2 students are chosen from a set of 5.

Hence:

[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]

There can be 600 winning combinations.

More can be learned about the permutation formula at https://brainly.com/question/25925367

HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Darrell bought 4 books about animals, 4 books about outer space, and 1 book about trains. Each book cost $13. How much did Darrell spend on the books

Answers

Add number of books and multiply by 13(dollars per book)
4+4+1=9
9*13= 117
Darrel spent $117
Hope this helped:)

I need help 20 points!

Answers

Answer:

192 cm3

Step-by-step explanation:

The volume of any pyramid is 1/3 × b × h, where b =  area of base of the pyramid and h = height of the pyramid.

In this case, the dimensions for the base are 6 and 8.The height is 24

Area of Base:

[tex]\frac{6*8}{2}[/tex] [tex]48/2[/tex] [tex]24[/tex]

Now, we multiply 24 by 24.

[tex]24*24[/tex] [tex]576[/tex]

Lastly, we divide by 3.

[tex]576/3[/tex] [tex]192[/tex]

Therefore, the answer is 192 cm^3.

What would the surface area be ?

Answers

Answer:

320.44

Step-by-step explanation:

the equation for right cylinder surface area: 2πrh+2πr^2

Answer:

33π cm²

Step-by-step explanation:

To find surface area you add the area of every face.

Area of the 2 circle faces:

The formula for the area of circle is πr². If the diameter is 6 you divide that by 2 to get a radius of 3. The area of the circle is 9π. Sense the top and bottom are both circles you multiply the area by 2 to get 18π.

Area of side face:

To find the area of the side, it is the same as a rectangle (length [circumference] multiplied by height [2.5]). The forumla for the circumference of a circle is πd. The circumference is 6π so multiply that by the height of 2.5 to get the area of the side of 15π.

Total surface area:

Now add the 18π (area of 2 circle faces) with the 15π (area of side face) to get 33π cm² surface area.

A line passes through the points (4,22) and (8,26) Write a linear function rule in terms of x and y for this line.

Answers

Answer:

y = x + 18

Slope = 1

Intercept = 18

Step-by-step explanation:

I feel like this graph would be better at describing it than words.  Basically, for every time that it goes up once, it also goes over once, and it starts at the height of 18.

Solve for x by completing the square: x2 - 12x + 11 = 0
A.
(-11,0) and (1,0)
B.
(1,0) and (11,0)
C.
(0,1) and (0,-11)

Answers

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

How much would it cost to buy x pounds of oranges? If oranges were 1.25$

Answers

Answer:

$20

Step-by-step explanation:

if one ound = 16 ounces then you would do 1.25x16 witch equals $20

If oranges were 1.25$ per pound. then the cost to buy x pounds of oranges would be 1.25x $.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If oranges were 1.25$ per pound. We need to find the cost to buy x pounds of oranges.

The cost of oranges per pound = 1.25$

The cost of oranges x pound = 1.25$ × x

                                                 = 1.25x $

Thus, The cost to buy x pounds of oranges would be 1.25x $.

Learn more about the unitary method;

https://brainly.com/question/23423168

Please help me with this math problem!! Will give brainliest if correct! NO links please!

Answers

Answer:

equation: sin 20 = 15/x

x=43.86

Step-by-step explanation:

sin = opposite over hypotenuse = 15/x from the corner with angle 20

Can someone please help me with the square root question?

Answers

Answer:

a ≈ 9.8 yd³

Step-by-step explanation:

Given: V ≈ 941 yd³

Using the formula: V = a³

Solving for a: A = [tex]V^{\frac{1}{3} }[/tex]  = [tex]941^{\frac{1}{3} }[/tex] ≈ 9.79933

Round to the nearest tenth: a ≈ 9.8

Solve for c.
4(3+ c) +c=c+4

Answers

12+5c=c+4

4c=-8
C=-2

Please brainiest and like

Step-by-step explanation:

[tex]4(3 + c) + c = c + 4 \\ 12 + 4c + c = c + 4 \\ 12 + 5c = c + 4 \\ 12 + 4c = 4 \\ 4c = 4 - 12 \\ 4c = - 8 \\ c = - 2[/tex]

Other Questions
I need help NOW with my java script!! 1. What will the code below output to the console and why? const person = { age: 20, name: 'Ben'};const peopleArray = [person, person, person];peopleArray[1].name = 'Joe';console.log(peopleArray[0].name); What is the 15th sequence in 5, 7, 9, 11, 13...?A. 150B. 103C. 100D. 15 How can a chemical transformation distinguish between an elemnet of a compound Graph the line that passes through the points (2,5) and (-1, 4) and determinethe equation of the line. Identify the limiting reactant when 4.67g of SF4 reacts with 6.28g of IzOs to produce IFs and SO2.Im confused on what goes next. Simplify 3 sin 8t + 5 cos 8t A lot has changed since this article was first published in 2005. Discuss the current situation with the Freedom Tower is there any controversy surrounding it? Has construction finished? Is it a public memorial or just another officebuilding? Doyou feel that Anne believes she is going to survive the war? 7/10 2/9 + 2/3thank you! PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!! A large bag of feathers and a steel block balance each other on some scales.What does this show about the masses and the weights of the bag of leathers and the stoelblock? What is a commonly used method to evaluate phylogenetic trees to determine evolutionary relationships 20 divided by 5/3 pls help How many cards are gifted or sent on valentines day each year in the us?. They __________ going to the farm. there are two boxes containing only purple and yellow pens.Box A has 5 yellow pens and 15 purple pensBox B has 4 yellow pens and 4 purple pens.event1: choosing a purple pen from box B.event 2 :choosing a yellow pen from box A.event 3: choosing yellow or purple from Box Bevent4 : choosing a purple pen from Box A ABC and PQR are similar. Find the missing side length. How do humanistic psychologists view the study of consciousness? PLEASE HELP RHEEHSH What is the main message of the political cartoon?Group of answer choicesthat people are reckless with their carsthat communists are harming the American publicharming the public is justified because they are hunting communiststhat the House of Un-American Activities Committee is hunting communists