Law of sines and cosines word problem

Law Of Sines And Cosines Word Problem

Answers

Answer 1

Answer:

AC = 0.47 mi

BC = 0.51 mi

Step-by-step explanation:

Notice that we are in the case of an acute triangle for which we know two angles ( < A = 63 and < B = 56) and one side (AB = 0.5).

We can find the measure of the third angle using the property of addition of three internal angles of a triangle:

< A + < B + < C = 180

63 + 56 + < C = 180 degrees

< C = 180 - 63 - 56 = 61 degrees.

Now we use the law of sines to find the length of sides AC  and BC:

[tex]\frac{0.5}{sin(61)} =\frac{AC}{sin(56)}\\AC=\frac{0.5*sin(56)}{sin(61)} \\AC\approx 0.4739\,\,\,mi[/tex]

which can be rounded to two decimals as:

AC = 0.47mi

For side BC we use:

[tex]\frac{0.5}{sin(61)} =\frac{BC}{sin(63)}\\BC=\frac{0.5*sin(63)}{sin(61)} \\BC\approx 0.509\,\,\,mi[/tex]

which can be rounded to two decimals as:

BC = 0.51 mi


Related Questions

Simplify the expression.
(2x)(3x)

Answers

Answer:

6x²

Step-by-step explanation:

Answer:

6x^2

6x squared

what is the rule for this table, IN -7,0,2,13,14,18. OUT -18,-11,-9,2,3,7

Answers

9514 1404 393

Answer:

  y = x -11

Step-by-step explanation:

The table values don't have "nice" differences, so it is not easy to identify the pattern immediately. I found it worked to plot the points on a graph. This shows they are all on a line with a slope of 1. The point (0, -11) tells us that the y-intercept is -11.

A line with a slope of 1 and a y-intercept of -11 has the equation ...

  y = x - 11

The starting salaries of individuals with an undergraduate degree from UC Riverside are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000?

Answers

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, [tex]X\sim N(\$40,000,\ \$5,000^{2})[/tex]

Compute the value of P (34000 < X < 46000) as follows:

[tex]P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699[/tex]

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

The number of gas purchased by four motorist and the corresponding costs are plotted one he coordinate plane. Which of these tables correctly show the ratios of different number of gas to their costs?

Answers

Answer:

4 IS $1

8 IS $2

12 IS $3

16 IS $4

Step-by-step explanation:

On the coordinate plane it would be a number on the top left and point at a bottom number, the top left is the first number and on the bottom is the last number. Hope that helped!

Answer:

D

Step-by-step explanation:

HELPPPPPP ASAPPPPP!!!!!
Katie wants to buy a scooter. It costs $100. She has to wait until the scooter goes on sale for at least 35% off before she has enough money buy it. How much money does Katie have to buy the scooter?
$35.00
$60.00
$65.00
$75.00

Answers

Answer:

C) $65.00

hope that helps!

It would be $35.00. Convert fraction into 35/100

If AD : AB = 2 : 5, the coordinates of point F are . Point E has the coordinates (2.8, -3), and the coordinates of point D are .

Answers

Answer:

(4.4, -4.6) and (4.4, -1.4)

Step-by-step explanation:

Got a 100 on plato

Coordinates are usually denoted by (x,y) the x-value and y-value.

What is a Coordinate?

This has to do with the system which makes use of numbers or coordinates in order to find the location of a point.

Please note that your question is incomplete so I gave you a general overview to get a better understanding of the concept.

Read more about coordinates here:

https://brainly.com/question/17206319

#SPJ2

Advertising. I know I have to write about advertising. What do I know about advertising? I know you have to market a product to a specific audience.
Advertising is used to sell things like soft drinks or cars. I think I need to narrow down my choices of what to advertise Advertisements can be written,
heard, or seen. Should I have a visual advertisement on a new brand of energy drink? Which prewriting strategy is shown above? (4 points)
• Brainstorming
O Freewriting
O Clustering
Journalist Questions

Answers

Answer:

i think brainstorming

Step-by-step explanation:

What is the parent function of f(×)=x^3+6x^2+8x?

Answers

Answer:

g(x)=x^(3)

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

no? :I

Step-by-step explanation:

help me how to answer this please​

Answers

Step-by-step explanation:

x^2 + 4x - 21 = 0

(x - 3)(x + 7) = 0

x = 3 or x = -7

x^2 - 14x = -24

x^2 - 14x + 24 = 0

(x - 12)(x - 2) = 0

x - 12 = 0 or x - 2 = 0

x = 12 or x = 2

2x^2 - 12 = 2x

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Topic: Factorisation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

A 125 gram serving of applesauce contains 90 calories. Which proportion could be used to
find the number of calories, c, in a 100 gram serving of applesauce?

Answers

138.8 is how many calories in a 100 grams of applesauce.


Graph-3,3,-0.4, and 3 on the number line.
3

Answers

Answer:

you need to give more explanation.

Which statement is true for all triangles with exterior angle 1 and remote interior angles 2 and 3?

Answers

Answer:

The answer is below

Step-by-step explanation:

The measure of the exterior angle 1 of a triangle is equal to the sum of the corresponding interior angles 2 and 3.

This is evident in the Theorem 3 of a triangle

For example

Given a hypothetical triangle, with the following angle QRS, ∠1, ∠2, and ∠3 are interior angles. And ∠4, ∠5, and ∠6 are the three exterior angles.

We have the following ∠4 = ∠2 + ∠3

∠5 = ∠1 + ∠3

∠6 = ∠1 + ∠2

PLEASE HELP ME WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Chrissy is entering a bke
race for charity Her
father pledges $0.80 for
each 0.5 mies she bikes a
Chrissy bikes 18.5 miles,
how much will her father
donate?

Answers

Answer:

0.80 for 0.5 mile

0.80/0.5 for 1 mile

18.5 × 0.80/0.5 for 18.5 mile

Use calculator and you answer will be 29.6

Here it is!

2. What is the slope of the line that passes through
the points (8,5) and (-4,-15)?

Answers

Answer:

m=5/3

Step-by-step explanation:

if that's not how you write it then try y=5/3x

Hey Brainators ! Here is A Question I have Created for You guys to answer :D
[ Answer Correctly To get the BRAINLIEST Answer ] (MUST STATE THE STEPS YOU TOOK TO GET THE ANSWER YOU GOT)

Answers

Answer:

the answer is b. 33

Step-by-step explanation:

first I did 5x+1=2x+7 and found x=2

then I plugged that back in and got that all the sides equal 11 and 11x3=33

I'm so stressed Please help I will try to give you BRAINLIEST if you get it right I promise please help​

Answers

A: (10,-3) Quadrant IV (4)
B: (8,9) Quadrant I (1)
C: (-3,-2) Quadrant III (3)
D: (4,0) On the x-axis
E: (-7,-4) Quadrant III (3)
F: (8,7) Quadrant I (1)
G: (0,-7) On the y-axis
H: (1,5) Quadrant I (1)

Which inequality is true?
–1.5 > –0.5
Negative one-half
–2.5 < –2
Negative 1 and one-half

Answers

Answer:

-2.5 < -2

Step-by-step explanation:

-3, -2.5, -2,...,0,1 ,2, 3, ...

Answer: the answer is -2.5 =2 1/2,  -0.5 <0, -2.5 <-2 im probably wrong but oh well...

Step-by-step explanation:

Factor the expression completely. -24x-6x^5

Answers

Answer: -6x(x^4 + 4)

Step-by-step explanation:  factor the -6 out of the problem

Your friend says that he can get a dozen dvds from website for $90

Answers

                              *BEWARE*

                        The website probably sells pirated DVD

Answer:

He is wrong. The total cost would be $111

Step-by-step explanation:

Hope this helps!

Which of the following quantities are continuous ?

Answers

Answer: A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's the divisible unit.

The number of books and bracelets also discrete, thus the answer is A.

Define the is a way of expressi a relationship between x and y in set notation it is called an

Answers

Answer:

I think it’s an ordered pair?

Step-by-step explanation:

What is the solution of the inequality 12x+14≥32x+34

Answers

Answer:

[tex]x \leq -1[/tex]

Step-by-step explanation:

Given

[tex]12x+14\geq 32x+34[/tex]

Required

Solve

[tex]12x+14\geq 32x+34[/tex]

Collect Like Terms

[tex]12x - 32x \geq 34 - 14[/tex]

[tex]-20x \geq 20[/tex]

Divide through by -20.

At this point, the inequality sign will change.

[tex]\frac{-20x}{-20} \leq \frac{20}{-20}[/tex]

[tex]x \leq -1[/tex]

Is (-4)6 positive or negative?

Answers

Answer:

+2/positive 2

Step-by-step explanation:

positive 2 because + and - = - but the number 6 is bigger than 4 thats why it is +2

Answer:

Negative

Step-by-step explanation:

Any time you multiply a positive number by a negative, the answer will always be negative.

N = negative

P = positive

N*N = P

N*P = N

P*P = P

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?

Answers

Answer:

4

Step-by-step explanation:

Don't let fractions fool you.

of a tank in  an hour is equal to:

1/12 of a tank in 20 minutes.

Thus we know in an hour, an oil company can fill 3/12 of a tank (60 minutes in an hour).

3 x 4 = 12, and 12/12 = 1(a whole tank), so we multiply 1 (hour) by 4.

Our answer is that it takes 4 hours to fill a tank.

Answer:

it's  1/3 ⋅ 12 hours

or

3 ⋅ 12 hours

Step-by-step explanation:

6.34 1.645
10.3401-0.34
45

Answers

Step-by-step explanation:

dude wut r we suppose to do??

The difference 25(d−10)−23(d+6) is?

Answers

Answer:2d - 388Hope this helps!!

Rewrite in simplest terms: -3(-8d – 1) + 2d

Answers

Answer:

26d+3

Step-by-step explanation:

first parentheses

-3×-8d=24d

remeber negative × negative = positive

-3×-1=3

24d+3+2d=

26d+3

I hope I helped! :)

a recipe for salsa is 65% tomatoes.if a batch contains 5.2 cups of tomatoes,how large is the batch of salsa. please help!!

Answers

Answer:

8 cups

Step-by-step explanation:

Let the total batch of salsa be x.

[tex]\frac{65}{100}[/tex]x = 5.2

[tex]\frac{100}{100}[/tex]x = [tex]\frac{100}{65}[/tex] × 5.2

x = 8

8 cups of tomatoes...

2/9 of my number is 4. what is my number?

Be the brainy one ny answerinng the question OK?

Answers

18 should be your number
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