Law of Sines, due by tonight

Law Of Sines, Due By Tonight

Answers

Answer 1

Answer:

[tex]21^{\circ}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.

Substituting given values, we have the following equation:

[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]

*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.


Related Questions

A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо

Answers

Answer:

Volume = 113.1 cubic cm

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]

How do you solve the equation 3 1/5 +n=9?

Answers

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

18y – 3.x = -90

Answers

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

HELP ME WITH THIS PLEASEEEEE? IM STUGGLING

Answers

Answer:

(x-5)(x+5)

Step-by-step explanation:

x^2 -25

We can rewrite this as the difference of squares

x^2 - 5^2

(x-5)(x+5)

WILL GIVE BRAINLIST
MATH




CONVERT EACH MEASUREMENT

SHOW STEPS ALL

18 pints to gallons

Answers

Answer:

2.25 Gallons.

Step-by-step explanation:

A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.

Multiply 18 pints by 0.125.

18 · 0.125 = 2.25

To Check Work:

Divide 2.25 by 0.125 to equal 18.

[tex]\frac{2.25}{0.125} = 18[/tex]

Divide 2.25 by 18 to equal 0.125.

[tex]\frac{2.25}{18} = 0.125[/tex]

Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7

A) 4
B) 6
Ch 10.82

Answers

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

is -49 a rational number? explain you’re reasoning.

Answers

Yes -49 is a rational

-49 is a rational number.

There are only 3 types of numbers that are irrational.

1.

2. Square roots that are not perfect squares (e.g. the suqare root of 5)

3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)

Hope this helps! Please mark me as brainliest!

Have a great day!

Someone please help me with this lol I’m struggling I hope I don’t get a bad grade

Answers

Answer:

42/100

Step-by-step explanation:

3/10=30/100

6/100+30/100+6/100= 6+30+6=42

42/100

Is 42/100 an awser if so it should be right?

A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)

Answers

Answer:

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

[tex]n(t) = n(0)(1+r)^t[/tex]

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that [tex]n(5) = 2n(0)[/tex]

We use this to find 1 + r. So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]2n(0) = n(0)(1+r)^5[/tex]

[tex](1+r)^5 = 2[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.1487[/tex]

So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]n(t) = n(0)(1.1487)^t[/tex]

Initially has 45 bacteria

This means that [tex]n(0) = 45[/tex]. So

[tex]n(t) = n(0)(1.1487)^t[/tex]

[tex]n(t) = 46(1.1487)^t[/tex]

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

A statistical question produces data that varies. Which question below will produce data that varies?
A. how many days are in a leap year
B. How many quarts are in a gallon
C. How many senses are there
D. How many students are in each class

Answers

The Answer is D. How many students are in each class.

Explanation: this is the only statistical question that would have data that varies. The other answer choices are all questions with one answer that are factual. But there can be any amount of students in a class and there are numerous types of classes so there is lots of data to be produced from this one question.

HELP ME PLEASEEEE SOMEONEEE

Answers

probably 48 but i dont know
The answer you’re looking for is 56

I need help finding the slope. I will report you if you use a link

Answers

3/4 up 3 over 4, its a positive slope

Hurry which one
A.24
B.60
C.80
D.114

Answers

1/2 x base x height

1/2 x 6 x 8 = 24 (a)
a is the correct answer

I mainly need #2 but if you know any of them please let me know

Answers

Answer:

1) 88 cm²

2) 34.137 cm²

3) 11.57 cm²

4) 195.938 cm²

Step-by-step explanation:

1) 6x12=72

4x4=16

72+16=88

2) 1/2x2x4x5=20

1/2π3²=14.137

20+14.137=34.137

3) 5x2=10

1/2π1²=1.57

10+1.57=11.57

4) 3x14=42

π7²=153.938

42+153.938=195.938

Which expression has the smallest value?

A. -15
B. |24|
C. -31
D. 42

Answers

Answer:

C

Step-by-step explanation:

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Find the Margin of Error (E) for the 95% confidence interval for the mean score of all such subjects.

Answers

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0518

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

[tex]n = 27, s = 21.4[/tex]. So

[tex]M = 2.0518\frac{21.4}{\sqrt{27}}[/tex]

[tex]M = 8.45[/tex]

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Which statement about the graph of y = tan x is true?

Answers

hence options! not sure on specifics

a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides​

Answers

Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

Find the length of the third side. If necessary, write in simplest radical form. 7 V15​

Answers

The awnser is 4.9 or 5 here’s the steps to show

Calculate the surface area of the following object 8 km 14 km:

Which one you think is the correct answer?

1- 15834 km
2- 1926.0 km
3- 6597 km
4- 1935.2 km

Answers

Answer:

1.option is the correct answer right

Write the equation of the line in slope-intercept form.

Answers

Answer:

y = 50x + 40

Step-by-step explanation:

2 points on the graph:

(0, 40) and (2, 140)

Slope:

m=(y2-y1)/(x2-x1)

m=(140 - 40)/(2 - 0)

m=(100)/2

m= 50

Slope-intercept:

y - y1 = m(x - x1)

y - 40 = 50(x - 0)

y - 40 = 50x

y = 50x + 40

What is the Kinetic Energy of a 15 kg object that is moving with a speed of 30 m/s?

Answers

Answer:

6750J

Step-by-step explanation:

30^2=900 900x15=13500 13500/2=6750

Answer:

K=6750[J]

Step-by-step explanation:

[tex]Kinetic \:Energy=\frac{1}{2} mv^2\\\\K=\frac{1}{2} (15)(30)^2\\\\K=6750[J][/tex]

Which ratio is equivalent to the ratio 33:39?

Answers

Answer:

[tex]33 : 39 \equiv11 : 13[/tex]

11 : 13 that is the answer I looked at someone else’s

Hurry which one
A.70
B.84
C.112
D.138

Answers

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

I need a answer ASAP

Answers

Answer:45-67-3

Step-by-step explanation:

Answer:

6 faces

Step-by-step explanation:

A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!​

Answers

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Find the equation of the line that contains the points (-4,3) and (4,3).​

Answers

Answer:

yes

Step-by-step explanation:

X=
0 4
06
0 12
pls help !

Answers

Answer:

maube 12

Step-by-step explanation:

i am not sure ..but try ur luck

what is the mathematical representation of joules law of heating ?​

Answers

Answer:

Q = I^2 R T

Step-by-step explanation:

What is the mathematical representation of joules law of heating

What is joules law of heating ??

Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.

Mathematically

Q = I^2 R T

Where,

Q indicates the amount of heat

I show electric current

R is the amount of electric resistance in the conductor

T denotes time

Which net will fold into a rectangular prism?

Answers

Answer: it is the 4 one

Step-by-step explanation:

I have attached the answer, I hope this helps! :D (If the attachment doesn't work, the answer is the one in the bottom right corner)

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