Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.

Find X, The Angle Of Depression From The Top Of A Lighthouse That Is 153 Ft Above The Water Level To

Answers

Answer 1

Answer:

x = 8.1°

Step-by-step explanation:

Reference angle = x

Opposite side = 153 ft

Adjacent side = 1071 ft

Applying trigonometric ratio (TOA), we have:

[tex] tan(x) = \frac{opp}{adj} [/tex]

[tex] tan(x) = \frac{153}{1071} [/tex]

[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]

[tex] x = 8.1 degrees [/tex] (nearest tenth)


Related Questions

In a study published in the American Psychological Association's Journal of Personality and Social Psychology, 227 college students were asked to rate their level of aggression and indicate their level of exposure to video game violence. The study found that students who reported playing more violent video games engaged in more aggressive behavior. Which of the following conclusions can you make on the basis of this study?

a. There is no relationship between violent video games and aggression.
b. Nonviolent video games make students less aggressive.
c. Playing violent video games is associated with more aggressive behavior.
d. Violent video games make students more aggressive.

Answers

Answer:

c. Playing violent video games is associated with more aggressive behavior.

Step-by-step explanation:

This question is solved interpreting the text.

The study found that students who reported playing more violent video games engaged in more aggressive behavior.

The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.

The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.

What is a Conclusion?

A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.

The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.

So, we can conclude that violent video games is associated with aggressive behavior.

Learn more about conclusions from studies here:

https://brainly.com/question/20595455

impact of humour in specific language structure​

Answers

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

Solve this please! 25 points! (Include properties used)

Answers

Answer: their is no solution to this problem

Step-by-step explanation:

Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

select two choices that are equivalent to 5v-12v+3v=

Answers

Answer:4v

Step-by-step explanation:

The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth

Answers

Answer:

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.

This means that [tex]\mu = 105, \sigma = 15[/tex]

What if the probabability that the baby weighs less than 150 Oz?

This is the pvalue of Z when X = 150. SO

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

[tex]Z = \frac{150 - 105}{15}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.999

0.999 = 99.9% probability that the baby weighs less than 150 Oz.

solve for x 0°<x<360
3cos2x +sinx=1​

Answers

Step-by-step explanation:

3cos2x +sinx=1

3(1-2sin²x)+sinx=1

3-6sin²x+sinx=1

sinx(-6sinx+1)=1

either

sinx=1

sinx=sin(90)

:.x=90

or

-6sinx+1=1

-6sinx=1-1

sinx=0/-6

sinx=sin0,sin180

:.x=0,180and90

increase 2 hour 30 minute by the ratio of 6:5​

Answers

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Calculation of the time taken:

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

Learn more about time here: https://brainly.com/question/15844891

4 (w+1) =-6 gsdfnvbsfgbsdfbsdfb

Answers

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.

Answers

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Pls help I’ll brainlest ASAP

Answers

Answer:

$180

Step-by-step explanation:

$180

Figure A is original and Figure B is the copy.

Answers

Answer:

scale factor = 3.5; missing side = 17.5 cm

Step-by-step explanation:

see attached image

Leo has three pieces of ribbon. One piece is 4 yards long, another piece is 5 feet long, and the last piece is 10 inches long. How much ribbon does Leo have in all?

Answers

Well this does not specify which unit of measure the answer needs to be in so I’m going to assume that it is in inches. Leo has 214 inches of ribbon. Hope this helps you out!


Can someone help me please?

Answers

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

What do you get when you distribute the -4 to the (11 - 2x)

Answers

-2 because you have to reduce

please tell fast plzzzzzz​

Answers

Answer:

72 degrees

Step-by-step explanation:

let the ratio be 2x and 3x

2x + 3x =180° ( co interior angles )

5x = 180°

x = 180 ÷ 5

x = 36°

And the smaller angle = 2 × 36° = 72°

Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy

Answers

Answer:

552 eggs

Step-by-step explanation:

A dozen is equal to 12

Solve:

Multiply 46 by 12

if a spider is 35 mm long. how many centimeters long is the spider?

Answers

Answer:

It is 3.5 cm long

Step-by-step explanation:

1 cm = 10mm

So divide 35 by 10

Figure ABCD is a trapezoid. Find
the value of x.
B.
3x + 2
C
13
4x + 3
А"
D
X= [?]

Answers

Answer: 3

Step-by-step explanation:

Simplify: (3x - 4x^2 + 8x^3) + ( - 6x + 2x^4 - 5x^2)

Answers

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

need help with this, ASAP

Answers

The answer is D I hope this helps

Tommie and Alethea plant a summer garden in their backyard. Alethea plants 3 rows of carrots for every 1 row of pepper plants. If Alethea plants 9 rows of carrots and Tommie plants twice that amount, who plants twice that amount, who plants more rows of pepper plants?

HELPPPP

Answers

Answer:

Tommie planted the most.

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Alethea plants 3 rows of carrots for every 1 row of pepper plants.

And, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

Here, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

So, We get;

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Solve for t.
45 = 5t + 45
Answer:
Submit Answer

Answers

Answer:

0

Step-by-step explanation:

45=5t+45

-45=-45

0=5t

/5

0=t

Hope this helped :)

Answer:

T=0

Step-by-step explanation:

Subtract 45 from both sides and then simplify then divide bith sides of the equation by the same term

What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.

Answers

Answer:

volume = (Pi)(r^2)(height)

57.5 cm^3 difference in volume

Step-by-step explanation:

Assuming that the 3.5 cm and the 4 cm are diameters of the cans:

The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.

The radius of the soda can is one-half of the diameter and that would be 2 cm.

The formula for the volume of a cylinder is Pi times the radius squared times the height.   (Pi)(r^2)(height)

Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3

Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3

The soda can has more volume so:

163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.

A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.

Find the work done lifting the bucket (sand and rope) to the top of the building.

Answers

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

How to do this problem? Thank you!

Answers

(Bc)/(ab)=tan1
(Ef)/(ec)=tan2
Angle 1= angle 2
Tan1=tan2
(Bc)/(ab)=(ef)/(ec)
...

use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary​

Answers

Answer:

c)

Step-by-step explanation:

çünkü öyle olmalı

Chau bought 28 pounds of flour for $12.
How many dollars did he pay per pound of flour?

Answers

Answer:

Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.

Sam has saved 1400 cents from selling lemonade how many dollars does Sam have

Answers

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

-7x + 12x – 6 = 9
how do i solve this and awnser?

Answers

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3