Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

What is the Sine Rule?

The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.

As per the given question, the given data  as:

A = 63

B = 56

C = 61 (because these angles should add up to 180)

c = 1/2

We know that the Sine Rule,

sin 63 / a = sin 61 / .5

a = 0.51 miles

sin 56 / b = sin 61 / .5

b = 0.47 miles

Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ2

Two Observers Are Standing On Shore Mile Apart At Points A And B And Measure The Angle To A Sailboat

Related Questions

Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer.

Answers

Answer:

384

Step-by-step explanation:

if each person who knows it tell 2 people then its doubling every hour

and for 8 hours the equation is

3x[tex]2^{7}[/tex]     (to seventh power because 1st hour already happened)

3x2x2x2x2x2x2x2

6x2x2x2x2x2x2

12x2x2x2x2x2

24x2x2x2x2

48x2x2x2

96x2x2

192x2

384

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

Answer:

17/55 if simplified otherwise 34/110

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

this is the answer that came up on hegarty

Suzanne ran 4.5 miles for the school fundraiser. She earned $2.40 per mile. How much money did she make?

Answers

Answer:

the answer is $10.

$2.40=1

n=4.5

= 4.5×2.40

=$10.80

1. Determine whether each expression is equivalent to (4x)2/3. Select Yes or No for each expression.

Answers

here it is in bio they wont let me type it

16.6 repeating %
a.⅙

b.⅓

c.⅗

d.⅔

Answers

the answer is a which is 1/6

Answer:

Step-by-step explanation:

a. 1/6 because 16.6% is 0.166666666666

1/6 = 0.166666666666

if the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?

Answers

Answer:

x+9

Step-by-step explanation:

f(x) = x, going up 9

that is y=x, going up 9

if you wnat to go up, subtract 9 from y

y -9 = x

y=x+9

convert back to f(x)

f(x) = x+9

Can someone help on really stuck

Answers

bro just use the app

Determine the equation of the midline of the following graph. ITS NOT HARD I JUSST DONT KNOW IT!!!!HELP PLEASE.

Answers

Answer:

y=1

Step-by-step explanation:

it is in the middle of the maximum and minimum.

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP PLEASE PLEASE PLEASE

Answers

Answer:

XYZ is similar to ABC

Step-by-step explanation:

take a ruler and measure the sides

54.98 in expanded form

Answers

Answer:

50 + 4 + .9 + .06

Step-by-step explanation:

what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30% How much do they sell the book for?​

Answers

Answer:

$5.53 i think

Step-by-step explanation:

30% = 0.3

0.3 x 4.25 = 1.275

1.275 + 4.25  ≈ 5.53

Answer:

5.25

Step-by-step explanation:

one positive integer is 2 less than another. The product of the two integers is 24. what are the two integers?

Answers

If one is positive we can conclude that the other is also positive

Positive*positive=positive(24)

The product of the two numbers is 24

And the smaller number is less than the greater number by 2

Factors of 24=1*24,2*12,3*8,4*6.

The only pair with the diffrence of two is 4*6

Therefore the two integers are 4 and 6

Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.

a) SSA
b) SSS
c) SAS
d) Not Congruent

Answers

Answer:

SSS.

Step-by-step explanation:

The 3 sides are congruent . The  ones that are marked and the middle line which is common to both triangles.

The answer is b hoped that helped

Find the equation of the line that passes through (5, 12) and has a slope of -6

Answers

y - 12 = -6 (x - 5)
y = -6x + 42

(-9)5 ∙ (-9)7
what's the answer

Answers

Answer:

2835

Step-by-step explanation:

-9×5= -45

-9×7= -63

-45×(-63)=2835

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

What is the sum of 0.987, 45.678 and 123.456?​

Answers

Answer:

Answer= 170.121

Step-by-step explanation:

You will first take 123.456+45.678+0.987=170.121

hope it will help:)

Find the surface area of the following cylinder. Round your answers to the nearest tenth.

Answers

Answer: 628

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(5)^2+2(3.14)(5)(15)

2(3.14)(25)+2(3.14)(75)

2(78.5)+2(235.5)

157+471

628

Please help me? I am confused.​

Answers

Answer:

One solution

Step-by-step explanation:

3-2x=5-x+3+4x

3-2x=3x+8       Combine like terms

3-8-2x+2x=3x+2x+8-8         Minus or add terms to get x on one side by itself

-5=5x        Divide 5 to both sides to get x by itself

5    5      

x=-1           The 5 is cancelled out on the side with the x and then divide it on                       the side with -5

Tom decides to pick up some pizzas and drinks for his family. He notices that the pizza costs the same as 7 drinks. The 2 pizzas and 8 drinks cost $33. What is the price of each item?

Answers

Answer:

Drinks = $1.5

Pizza = $10.50

Step-by-step explanation:

let d = drinks

p = pizza

p = 7d  equation 1

2p + 8d = 33 equation 2

from equation 1, we know the price of one pizza, the price of two pizzas can be determined by multiplying by 2

2p = 7d x 2 = 14d  eqn 3

Substitute for 2p in equation 2  

14d + 8d = 33

22d = 33

Divide both sides of the equation by 22

d = $1.5

Substitute for d in equation 1

p = 1.5 x 7 = $10.5

help i don't understand this!!

Answers

Answer:

30 cm

Step-by-step explanation:

Please no links :) giving brainliest, try to answer as soon as you can :)

Answers

Answer:

102,9 cm^2

Step-by-step explanation:

First of all we can find the area of the two rectangles at the sides of the figure

A rectangle = length x width = 8 x 4 = 32 cm^2

the rectangles are two so:

32 x 2 = 64 cm^2

for the figure in the center we can proceed like this: we can initially assume that also it is a rectangle, so we have to find the length

length = 16-8 = 8 cm

A = 8^2 = 64 cm^2 (so we have discovered that is a square)

if we look we can see that there is also a semicircle that is not part of the figure. We have to find its area and subtract it to the area of the square

A semiciricle = (radius^2 π)/2

radius = 8/2 = 4 cm

A semicirlce = (4^2) π/2 = 25,13 cm^2

64 - 25,13 = 38,87 cm^2

At least we have to added up this value to the area of the two rectangles

total area = 38,87 + 64 = 102,87 = 102,9 cm^2

The length of a rectangle is (3x + 1) and the width is (2x + 3). Find the
expression that represents the area of the rectangle.

Answers

Answer:

area = l * w

= (3x + 1) * (2x + 3)

what is 4x – 97 + 12 – x = -80.5

Answers

Answer: x - 1.5

4x – 97 + 12 – x = -80.5

3 x - 85 = -80.5

3 x - 85 +85 = -80.5 + 85

3x = -80.5 + 85

3x = 4.5

x = 1.5

Step-by-step explanation: hope this helps

Answer:

x=1.5

Step-by-step explanation:

4x-97+12-x=-80.5

Combine like terms

-97+12=-85

4x-x=3x

now you have 3x-85=-80.5

add 85 to both sides and now you have

3x=4.5

Now divide 3 to both sides and you get x=1.5

Here is an inequality: −3x>18. 1. Which of the following describes the values for x that would make this inequality true. A. Any values greater than -6 A. Any values greater than -6 B. Any values less than -6 B. Any values less than -6 C. Any values greater than 21 C. Any values greater than 21 D. Any values less than 21 D. Any values less than 21 2. Explain how the solutions to the inequality −3x ≥18 different from the solutions to −3x > 18.

Answers

Answer: B because a negative x negative is a positive, making them all higher than 18. The first inequailty means it can be equal to 18 and the second means -3x has to be greater, ex 19 or above

Step-by-step explanation:

Find the number of terms for this polynomial - 17x ^ 5 + 17x ^ 3 - 18

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

  −1(175−173+18)   (that sould be the solution)

Hope that helps

Ty can jump rope at a rate of 6 jumps every 3 seconds. What is Ty's jump-roping rate in
jumos per minute? Explain your thinking.

Answers

Answer:

120 Jumps per Minute

Step-by-step explanation:

3 Seconds per jump

So we do 60 (seconds in a minute) / 3 (seconds)

We get 20, this is how many times we do the 6 jumps.

Then we simply do 6x20 to get 120 jumps per minute!

Nancy has to find the reflection of a point across both the x- and the y-axes. Using what you've learned so far about reflections across the x-axis and reflections across the y-axis, can you come up with a rule for what happens to the signs when you reflect a point across both axes?​

Answers

Answer:

Step-by-step explanation:

All she needs to know is that  a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.

Hope this helped.

Answer:

To find the reflection of a point across the x-axis and the y-axis, change the signs of both the x-coordinate and the y-coordinate.

Step-by-step explanation:

!!edmentum answer!!

A rental car agency charges $14 per day plus 12 cents per mile to rent a certain car. Another agency charges $19 per day plus 10 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?

Answers

Answer: The correct answer is 250 miles per day. I just completed this question myself and I got it correct

Step-by-step explanation:

Unit 2 Test
Which postulate can be used to prove that the following triangles are congruent?

A) ASA
B sss
C SAS
DAAS

Answers

The answer is: A) ASA
I think it A ASA ......
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