Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.​

Using Laws Of Sines. Find The Measurement Indicated. Round Your Answers To The Nearest Tenth.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer 2

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]


Related Questions

mark has a friend named Chole how different are marks and chole DNA ?

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Answer:

xx vrs. xy chromosomes in their genetics

Can you please help me with this question please please help me

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It’s the third one. Hope that helped!

Answer:

i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]

A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2

Answers

Answer:

[tex]\frac{1}{3}[/tex] chance.

Step-by-step explanation:

The only factors of 6 on a die is 1, 2, 3, and 6

The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.

(None of the options you gave is correct)

The probability of getting numbers which is not a factor of 6.

                          [tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]

To understand more, check below explanation.

Probability :

The numbers on die which is factors of 6 is,

                               1,2,3,6

So that, numbers on die which is not factor of 6 is, 4 and 5.

We have to find probability that  the score is not a factor of 6.

Total number of favorable outcomes = 2

Total outcomes = 6

Probability that  the score is not a factor of 6,

                          [tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]

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Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Answers

I think I don’t know sorry

Answer:

Can’t really understand your question!!

30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.

Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Can you please help with think im pointing on please is so hard i will give you a Brainiest

Answers

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

Four families are travelling. Order their speeds from least to greatest.

Sapons
80 km in 2 h

Silvers
180 km in 3 h

Johns
50 km in 1 h

Cunninghams
35 km in 30 min

(please help)​

Answers

Step-by-step explanation:

We're going to convert all of these to km/h.

Sapons: 80km/2h => 40kmh

Silvers: 180km/3h => 60kmh

Johns: 50kmh

Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh

Now that they're all in the same form we can put them from least to greatest.

Answer:

(Least) - Sapons

- Johns

-Silvers

(Greatest) - Cunninghams

Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.

Answers

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals

Answers

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.

Answers

Answer:

[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.

So:  [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]

Hope this helps :)

I need help immediately with middle school

Answers

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?

Answers

Answer:

She would earn 728 $ in commission

Step-by-step explanation:

The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?

Answers

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth

Answers

Answer:

100

100

Step-by-step explanation:

1 person to 100 people

The scale factor is 100

The paper fits 1 muffin

now it will have to a muffin 100 times bigger

100 is the scale factor

Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50​ counters? nothing rows

Answers

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Answer this to be called the smartest...... What has 4 lags in the morning, 2 in the afternoon, and 3 at night..?

Answers

Answer:

A person

Step-by-step explanation:

I have heard this riddle multiple times, it is very well known and ( in my opinion ) very intriguing;

If we are considering the 4 legs in the morning, we can assume it to be a baby crawling on all 4's. 2 legs in the afternoon represents a more elderly person, a young child or adult on their 2 legs, and 3 in the night models an elderly person, using a walking stick as their " leg "

Answer; In other words, a person has 4 legs in the morning, 2 in the afternoon, and 3 at night

A human is one who has  4 legs in the morning, 2 in the afternoon, and 3 at night.

What is a riddle?

A statement, inquiry, or phrase with a hidden or double sense that is presented as a problem to be answered is called a riddle. A riddle often consists of a topic or a statement with numerous interpretations that must be resolved. Riddles can be humorous brain teasers or wanted-to-think puzzles. It is similar to working to remedy a riddle.

Morning represents a baby. A baby crawling in the morning has four legs and hands included.

An adult represent afternoon walks with two legs and they are the one who have to sand on their own.

An elderly person representing night who walks with the aid of a cane or walking stick is known as "3 legs in the evening." as they might have trouble while walking.

Learn more about riddle, Here:

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Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14

Answers

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°

Answers

Answer:

-tan 20

Step-by-step explanation:

They have the same answer when typed in a calculator

Does anyone know what 6.04 x 10^-3

Answers

Answer:

.00604

Step-by-step explanation:

when multiplying by a negative exponent move the decimal to the left

10^-3 move the decimal 3 spaces to left

.00604

15 POINTS! will be selecting Brainliest!

How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!

Answers

Just divide the bottom numbers then when you figure that out you multiply the top number by the number you divided at the bottom

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please

Answers

Answer:

I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah

Step-by-step explanation:

hope this helps and also hope my brother can help byyyyyeeeee

I’m also in 9th grade and need help

Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?

Answers

64 cups
there are 16 cups in a gallon so 16 times 4

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR

Answers

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?

Answers

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?

Answers

Answer:

The cost of parking in the garage for 75 minutes is 4.875.

Step-by-step explanation:

The costs of parking h hours is given by the following function:

[tex]f(h) = 4.5 + 1.5(h-1)[/tex]

Cost of parking 75 minutes.

1 hour is 60 minutes. How many hours are 75 minutes?

1h - 60 min

xh - 75 min

[tex]60x = 75[/tex]

[tex]x = \frac{75}{60}[/tex]

[tex]x = 1.25[/tex]

75 minutes is 1.25 hours. So we have to find f(1.25).

[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]

The cost of parking in the garage for 75 minutes is 4.875.

What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

Pls help me answer this if ur good at algebra. Thanks .

Answers

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

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