An observer in the lighthouse is 70 feet above the water. He sites two boats in the water directly in front of him. The angle of depression to the nearest boat is 35°. The angle of depression to the other boat is 18°. What is the distance between the two boats? Round to the nearest foot

Answers

Answer 1

Answer:

62 feet. looked it up.

Step-by-step explanation:

Have a great day! :)


Related Questions

I need help with this i don’t understand this

Answers

Answer:

13.<CAF = 145

14.<ABC = 50

15.<KCJ = 95

16.<ABG = 130

17.<BCJ = 85

18.<CAB = 35

19.<x =60

20.<y =120

21.<z = 133

22.<w = 47

23.<m = 128

24.<p = 52

Step-by-step explanation:

It just looking at the vertically opposite angle to find the exact angle.

Ex. <CAF = <BAD

Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.

Answers

Answer:

The answer is B

This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.

Answer:

B: Alex sent the questionnaire only to those who live near her

Step-by-step explanation:

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an amusement park is open for 15 hours a day 7 days a week
Their admission prices are listed below
3 hours or less: $15
Between 3 hours and 7 hours: $22
7 or more hours:$30
Identify their domains and functions for this context.

Answers

Answer:

f(x)=15 when: 0<x(less than or equal to)3

f(x)=22 when: 3<x<7

f(x)=30 when: 7(is less than or equal to)x

Part B- Evaluate the function for f(2): 15

Step-by-step explanation:

Algebra Nation; Section 8 topic 6

The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:

For f(t) = 15: 0 < t ≤ 3

For f(t) = 22: 3 < t ≤ 7

For f(t) = 30: t > 7

How to calculate the domain?

The admission prices at the amusement park can be represented as functions of the amount of time a customer spends at the park. Let's denote the amount of time by t (in hours). Then we can define the following functions:

For t ≤ 3: f(t) = 15

For 3 < t ≤ 7: f(t) = 22

For t > 7: f(t) = 30

The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:

For f(t) = 15: 0 < t ≤ 3

For f(t) = 22: 3 < t ≤ 7

For f(t) = 30: t > 7

Note that the domain for each function reflects the fact that customers can only be charged according to the specified rates for the corresponding time intervals.

Additionally, since the amusement park is open for 15 hours a day, 7 days a week, we can say that the total operating time is 15 x 7 = 105 hours per week.

To know more about the domain follow

https://brainly.com/question/26098895

#SPJ3

can some one give me a hand here???????​

Answers

-3/2 I think that’s the answer!

Which scatterplot shows a linear association?

Answers

A linear association is when the shape of the scatter plot is a straight line.

Therefore, the answer would be C, as you had it, because it is showing the data in a straight line.

Answer:

C

Step-by-step explanation:

PLS HELPPPP!!!!!! I GIVE BRAINLEST

Answers

Answer:

[tex]12 \times 4 = 48 \\ 8 \times 6 = 48[/tex]

=> These 2 multiplication facts are equal to 48.

a person earns $18,200 one year and gets a 5% raise in salary what is the new salary​

Answers

Answer:

$19,110

Step-by-step explanation:

18,200 x 1.05 = 19,110

In how many ways can a group of 9 persons arrange themselves around a circular table?​

Answers

Answer:

20,160 ways

Step-by-step explanation:

9x8x7x6x5x4x3x2x1=9

Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds

Answers

Answer:

StartFraction 1 Over 16 EndFraction of a pound

Step-by-step explanation:

Total pounds of sunflower seeds Jordan bought = 9/16 of a pound

Number of snack bags for his lunch = 9

What is the weight of sunflower seeds in each snack bag?

Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch

= 9/16 ÷ 9

= 9/16 × 1/9

= (9*1) / (16*9)

= 9 / 144

= 1/16

Weight of sunflower seeds in each snack bag = 1/16 of a pound

Answer:

1/16 of a pound aka A is the correct answer.

Step-by-step explanation:

whats 5^4/5+4 please help

Answers

129 just square 5 by 4 and divide it by 4 pls give me brainlist

help me please and thanks!!!!

Answers

Answer:

The answer is B.

Step-by-step explanation:

so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.

PLEASE HELP DUE SOON! Find the area of the shaded region. Write your answer in exact form.

Answers

Can you repost the picture I can’these it

Oliver found a list of the number of roller coasters at each amusement park in the state. ​11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?

Answers

the median to your question is 29.5

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?​

Answers

Answer:

19

Step-by-step explanation:

24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2

round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.

what is the value of x in this equation??
50+30x=250+10x

Answers

Answer:

x = 10

Step-by-step explanation:

Please help me I have 10 minutes no scams I’m in 7th grade

Answers

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?

Answers

Answer:

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.

Answers

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

[tex]s = 4[/tex] -- base sides

[tex]V = 36[/tex] -- Volume

Pyramid B

[tex]s = 6[/tex] --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

[tex]V = \frac{1}{3} * B * h[/tex]

Where B represents the area of the base equilateral triangle, and it is calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]

[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 4\sqrt 3[/tex]

The height is calculated from:

[tex]V = \frac{1}{3} * B * h[/tex]

This gives:

[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]

Make h the subject

[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]

[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]

[tex]h = \frac{27}{\sqrt 3}[/tex]

To calculate the volume of pyramid B, we make use of:

[tex]V = \frac{1}{3} * B * h[/tex]

Since the heights of both pyramids are the same, we can make use of:

[tex]h = \frac{27}{\sqrt 3}[/tex]

The base area B, is then calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where

[tex]s = 6[/tex]

So:

[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 9\sqrt 3[/tex]

So:

[tex]V = \frac{1}{3} * B * h[/tex]

Where

[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9 * 27[/tex]

[tex]V = 81[/tex]

Answer:

81

Step-by-step explanation:

a number is two more than another number in number form?​

Answers

From the information in the word problem we are able to set up the following inequality:  

3y + 2 - y = 12   |   where x is the larger number of two numbers in a set (x, y)  

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.  

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y              :: 2y = 10

-> divide both sides by 2        :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:  

x - y = 12

-> substitute y for 5     :: x - 5 = 12

-> add 5 to both sides :: x = 17

OR

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5          :: 15 + 2 = x

-> add 15, 2              :: 17 = x

So there you have it:  

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.  

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.  

(just another form of the equation)

brainliest will be appreciated as well

Which one should I choose?

Answers

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Please, multiply the following Algebric sum.........
3ab+2bc, 5bc

Answers

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Guys pls help me!!!!!!

Answers

The y-intercept is 4.

The line crosses (“intercepts”) the y-axis when x = 0. If x = 0 in the equation, then y = 4.

please help me it due soon

Answers

Answer:

Tyler is correct

Step-by-step explanation:

ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A

Help me with this problem please:)

Answers

the area of the square is 4
and the area of the triangle is 2

4+2=6

the area is 6

Solve for x to the nearest 10th.
410 = 1080(0.915)^x

Answers

Answer:

410/1080=(0.915)^x

0.379=(0.915)^x

ln0. 379/ln0.915=x

X=10.903

III Question 4 of 10 ( point) Question Attempt: 1 of Unlimited Susan makes house calls. For each, she is paid a base amount and makes additional money for each hour she works, The graph below shows her pay in dollars) versus the number of hours worked. Use the graph to answer the questions.​

Answers

Answer:

a) $30

b) 30

Step-by-step explanation:

a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.

b) Every hour, the pay goes up 30.  Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.

Please help I can’t fail

Answers

Answer:

B

Step-by-step explanation:

line b is the closest to all the points on the graph

someone help me with this please

Answers

Graph 1: perpendicular
Graph 2: parallel
Graph 3: neither
Graph 4: neither

I am so sorry if I'm wrong.

Brainliest would be nice.
Have a good day:)
(more like night LOL)

a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?

Answers

Answer:

403 miles

Step-by-step explanation:

500 mph is 500 miles per hour

30 minuites is half an hour, so that is 250 miles west

60 degrees west, 600 miles away

so it is a triagle of 30 60 and 90.

600 is the hypotenuse of the 30 60 90 triangle

we need to find the height of the 30 60 90 triangle

using the special rule, the height is 300

the length of the 30 60 90 triangle is 300rt3

so 300rt3 - 250  is the length of another triangle.

height is still 300

hypotenuse is the distance of the actual area minus the plane's current position

(300^2 + (300rt3-250)^2)^1/2 is about 403.351433

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