Use the law of sines to find m

Use The Law Of Sines To Find M

Answers

Answer 1

Answer: 5.22

Step-by-step explanation:

Given

[tex]\angle A=103^{\circ}[/tex]

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

Here, a=8, c=5

Putting values

[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]

[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]

If b=m, then

[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]


Related Questions

Do you guys now the answer I need it ASAP please

Answers

Answer:I think that it would be either b or c

Step-by-step explanation:

I think it’s B!!!!!!

9) Find the unit rate:
40 cookies for $3.25

Answers

The answer is 130 dollars

Condense the log equation: 4 log x + log y - 5 log z

Answers

Answer:

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

Step-by-step explanation:

We use these following logarithm properties to solve this question:

[tex]a\log{x} = \log{x^a}[/tex]

[tex]\log{a} + \log{b} = \log{ab}[/tex]

[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]

In this question:

[tex]4\log{x} = \log{x^4}[/tex]

[tex]5\log{5} = \log{z^5}[/tex]

So

[tex]4\log{x} + \log{y} - 5\log{z}[/tex]

Becomes:

[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]

Now applying the addition and subtraction properties, we have:

[tex]\log{\frac{x^4y}{z^5}}[/tex]

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?

Answers

Step-by-step explanation:

We start by stating the null hypothesis

H0: p1 = p2

No difference is existent

H1: p2 not equal to p2

There is a difference

We find the z statistic using microsoft excel or using the formula in the attachment

= -1.68

From the normal table, p value = 0.099

The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference

B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.

Express each decimal to fraction 0.8255555…

Answers

Answer:

08255555/10000000 this is the answer

Answer:

0.8255555 = [tex]\frac{33}{40}[/tex]

Step-by-step explanation:

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

0.825 = [tex]\frac{0.825}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,

[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]

Therefore

X= [tex]\frac{33}{40}[/tex]

In conclusion,

0.825555 = [tex]\frac{33}{40}[/tex]

Hope it helps

Please mark me as the brainliest

Thank you

Solve using Cramer's rule. 3x + 2y = 5
x + 3y = 4
i need an answer ASAP

Answers

By applying Cramer's rule as solution method, the solution of the linear system 3 · x + 2 · y = 5 and x + 3 · y = 4 is equal to the set (x, y) = (1, 1).

How to solve a system of two linear equations with two variables

Determinants are constructions studied in linear algebra and related to matrices, one of the most common applications of determinants is the solution of linear equations, whose simplest form is known as the Cramer's rule.

Now we proceed to use this rule to get the solution of the linear system:  

[tex]x = \frac{\left|\begin{array}{cc}5&2\\4&3\end{array}\right| }{\left|\begin{array}{cc}3&2\\1&3\end{array}\right|}[/tex]

[tex]x = \frac{(5)\cdot (3)-(4)\cdot (2)}{(3)\cdot (3) -(1)\cdot (2)}[/tex]

x = 1

[tex]y = \frac{\left|\begin{array}{cc}3&5\\1&4\end{array}\right| }{\left|\begin{array}{cc}3&2\\1&3\end{array}\right|}[/tex]

[tex]y = \frac{(3)\cdot (4) - (5)\cdot (1)}{(3)\cdot (3) - (1)\cdot (2)}[/tex]

y = 1

By applying Cramer's rule as solution method, the solution of the linear system 3 · x + 2 · y = 5 and x + 3 · y = 4 is equal to the set (x, y) = (1, 1).

To learn more on Cramer's rule: https://brainly.com/question/12682009

#SPJ1  

Which of the following choices lists the values of the side longths of a triangle with 45-45-90 degree angles and a hypotonuso - 247? Need help

Answers

Answer:

D 12rad2 12rad2 24

Step-by-step explanation:

Can anyone help me on this please

Answers

Answer:

y = x - 8

Step-by-step explanation:

y = mx + b

M is your slope, 1. 1x can be rewritten as x.

Your Y intercept is B, therefore -8.

y = x - 8. When you plug in the numbers.

divide 270 in the ratio 3:2:1​

Answers

3 + 2 + 1 = 6

270 ÷ 6 = 45

45 × 3 = 135

45 × 2 = 90

45 × 1 = 45

3 : 2 : 1

135 : 90 : 45

A football team incurred a 10 yard penalty for being off sides. Write an integer to represent this situation?​

Answers

Answer:

sir u can try looking up on internet, we do not do homeworks/assignemnts for people

Step-by-step explanation:

Please answer ASAP this is due tomorrow

Answers

Answer:

227.08in^2

You want to find the surface area for this problem. SA=2lw+2lh+2hw

Step-by-step explanation:

L=2.5

W=7.4

H=9.6

SA=2lw+2lh+2hw

SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)

SA=37+142.08+48

SA=227.08in^2

An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?

Answers

Answer:

60.2 grams is remaining after 7 minutes.

Step-by-step explanation:

Exponential equation for amount of substance:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.

An element with mass 510 grams decays by 26.3% per minute.

This means that [tex]A(0) = 510, r = 0.263[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 510(1-0.263)^t[/tex]

[tex]A(t) = 510(0.737)^t[/tex]

How much of the element is remaining after 7 minutes?

This is A(7). So

[tex]A(7) = 510(0.737)^7 = 60.2[/tex]

60.2 grams is remaining after 7 minutes.

You purchase a car for $20,000. It depreciates 30% each year. Which formula calculates how much your car will be worth in 10 years?

Answers

Answer:6722.8(sorry if i'm wrong)

Step-by-step explanation:

The tip of a 8 cm minute hand of a clock sweeps out circular arcs.

What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?

Use 3.14 for pi. Round your answer to the nearest hundredth.

Enter your answer in the box.

Answers

Answer:

16.75

Step-by-step explanation:

20/60=x/360

x=120 degree angle

120/360=x/2pi8

1/3=x/16pi

16pi/3=x

x=16.75 arc length

I don't understand this, please help ​

Answers

Answer:

∠2 = 150°, it is a supplementary angle to 30°

∠3 = 30°, it is an alternate angle to 30°

∠4 = 150°, it is a supplementary angle to 30°

∠5 = 30°, it is an alternate angle to 30°

∠6 = 150°, it is a supplementary angle to 30°

∠7 = 30°, it is an alternate angle to 30°

∠8 = 150°, it is a supplementary angle to 30°

SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU

Answers

Answer:

20 visits.

Step-by-step explanation:

Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50

Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:

5.50v + 50 = 8v

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:

5.50v (-5.50v) + 50 = 8v (-5.50v)

50 = 8v - 5.50v

50 = 2.50v

Isolate the variable, v. Divide 2.50 from both sides:

(50)/2.50 = (2.50v)/2.50

v = 50/2.50

v = 20

Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.

Answer this for 10 points

Answers

Answer:

D) -2

Step-by-step explanation:

Slope = -3

(1, -9)

y - y1 = m(x - x1)

y + 9 = -3(x - 1)

y + 9 = -3x + 3

y = -3x - 6

y = -3x - 6

0 = -3x - 6

6 = -3x

x = -2

The question that is asked...

Answers

The answer is A. 90+13+x= 180
As all the angles on a straight line amount to 180°

state three (3) uses of graphs


Answers

1. Graphs can help you figure out the slope of a line faster. 2. Graphs can help you compare two or more lines. 3. Graphs can help you determine the y-intercept by just looking at the graph.

I need help ASAP will mark the brainliest

Answers

Answer:

hhffuutxu da ruzrxtoxotx suzs txyfyfxkfzfjzrzjrzurzi f2f jfizeyUrYsU

Step-by-step explanation:

that boi sus fo real nfcgxjfxiffxdkhdkydkgzxd lux kygksktskgxkhxyzjrztjztkxlyslyskt

What is the measure of each angle of a regular pentagon? If necessary, round to the nearest tenth.

Answers

Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165​

Step-by-step explanation:  sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .

Please guys help me please no links

Answers

Answer:

it's F.

Step-by-step explanation:

i used my calculator. just trust me

The answer is F

I recommend using a scientific calculator for these types of problems if you don’t already.

man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.

Answers

Answer:

567

Step-by-step explanation:

Please mark brainliest

Answer:

567

Step-by-step explanation:

How many and what type of solution(s) does the equation have?8p^2=24p−10

Answers

Answer:

2 real solutions

Step-by-step explanation:

to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0

the quadratic equation standard form is

ax²+bx+c=0

therefore we get

a=4b=-12c=5

-------------------------------

substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64

since we got D>0

therefore

the quadratic equation has 2 real solutions

Solve for x. Round your answer to the nearest tenth. Remember, if your solving for the angle x, you must use the inverse function

Answers

Answer:

x ≈ 21.36

Step-by-step explanation:

sin31 = 11/x

xsin31 = 11

x = 11/sin31 ≈ 21.36

5x+2y=10
x+ay=4
Which value of a makes these equations have no solution.

Answers

Answer:

2

Step-by-step explanation:

Rearrange to same form:

2y = -5x + 10

y = -5/2x + 10

ay = -5x + 4

Parallel lines have no intersection and solution, thus a = 2

Answer:

Step-by-step explanation:

For there to be no solution the lines must be parallel and have different y intercepts. To be parallel they must have the same slope.

Solving each for y

y=(10-5x)/2 and y=(4-x)/a

So the slopes are

-5/2 and -1/a, if they are equal

-5/2=-1/a

-5a=-2

a=2/5

3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15​

Answers

Answer:

1g:6g-15

Step-by-step explanation:

pls someone anwser quick

Answers

The total surface area is 716.28 squared units

mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?​

Answers

Answer:

25 meters

Step-by-step explanation:

500/20 =  25

25 meters

Hope that helps!

Answer:

10,000 meters

Step-by-step explanation:

20*500=10,000

how to solve 46 divide by 6 and change it to a multiplication equation

Answers

Answer:

46/6 is approximately 7.667.

To change it to a multiplication problem, I can do 46 = 6*7.667. The answer is not exact, just an estimated approximation.

You can also try to divide yourself.

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