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

Find all working solutions for x.
✓(x-5) - 5 = 3

Answers

Your answer will be 13

Answer:

Step-by-step explanation:

✓(x-5) - 5 = 3

✓(x-5) - 8 = 0

(✓(x-5))² - 8² = 0

x-5 - 64 = 0

x - 69 = 0

x = 69

PLEASE HELP! I WILL GIVE BRAINLIEST!?! ​

Answers

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
X=pie/4 +pie n, pie/3 +2 pie n, 5pie/3 +2 pie n
This is the full set of solutions. Let me know if this isn’t what you wanted or need an explanation.

at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years​

Answers

Answer:

4% per annum

Step-by-step explanation:

Recall :

Simple interest = principal * rate * time

Given that :

Time = 3 ; simple interest = 84 ; principal = 700

84 = 700 * rate * 3

84 = 2100 * rate

Rate = 84 /2100

= 0.04

= 0.04 * 100% = 4% per annum

FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS

Answers

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

m<ABD+27=180m<ABD=180-27m<ABD=153°

Please help me solve this math problem and explain it. Will give BRANIEST!
(X^2+2xy+y^2)^2

Answers

Answer:

I'm sorry hindi ko po alam eh

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answers

168 yds i’m pretty sure sorry if i’m wrong

please help 5 points which one

Answers

Answer:

A) 9/2x3/8

Step-by-step explanation:

What does the digit 8 represent in 687, 413?

Answers

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

what is the reciprocal of 9/7?

Answers

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?

Answers

Answer:

624

Step-by-step explanation:

12+18+22=52 52×12=624

Answer:

624

Step-by-step explanation:

12x12= 144        cookies

18x12= 216        muffins

22x12= 264       scones

144+216+264= 624

Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?

Answers

Answer:

Step-by-step explanation:

Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.

The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.

We know that to estimate the percentage of success we use the proportion of success parameter "p".

Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.

Answer:

specific "yes" or "no" responses to the survey

Step-by-step explanation:

Got it right

I WILL MARK BRAINLIEST (PICTURE INCLUDED)A right triangle ABC is shown below: А 3 units B 5 units The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.)​

Answers

is it 3? this is a 3,4,5 triangle if that helps

Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?

Answers

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

Pleaseee answer thisss!!

Answers

76+2x=180

180-76=2x

104=2x

X=52

Answer:

x=52

Step-by-step explanation:

360=76+90+90+2x

2x=360-256

x=104/2

x=52

What the correct answer

Answers

Its ‘B’

100% sure

Plz mark me brainliest

Find the height of the pyramid.

Answers

Answer:

7

Step-by-step explanation:

Let the height of pyramid be h

[tex]v = \frac{1}{3} lwh[/tex]

v= 224

w= 8

l= 12

224=1/3(12)(8)(h)

224=32h

h=224/32

h=7

Find...
2/7 of 36
I really need help!

Answers

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

If two expressions have the same factor or base. What happens to the exponents when the expression are dividing

Answers

Answer:

whats the question tho?

Step-by-step explanation:

Choose the best estimate for the multiplication problem below. 56 x 51
A. 2000
B. 3000
C. 4100​

Answers

Answer:

B

Step-by-step explanation:

Answer: B.

Explanation: 56 multiply 51 is 2856 and 3000 is the closest to 2856.

Also pls mark me as brianliest!!

PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.

Answers

Answer:

2/5 :)

Step-by-step explanation:

58+2=60+25=85-25=60 60 = 2/5

The solution is 5/17

The probability that the next customer will pay with a debit card is given by the equation A = 5/17

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that the next customer will pay with a debit card be A

Now , the equation will be

The number of customers who paid cash last week = 58 customers

The number of customers who used debit card last week = 25 customers

The number of customers who used credit card last week = 2 customer

So ,

The total number of customers = 58 + 25 + 2

The total number of customers = 85 customers

Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers

Substituting the values in the equation , we get

Probability that the next customer will pay with a debit card A = 25 / 85

On simplifying the equation , we get

Probability that the next customer will pay with a debit card A = 5 / 17

Therefore , the value of A is 5/17

Hence , the probability is 5/17

To learn more about probability click :

https://brainly.com/question/17089724

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may you help me with this question?

Answers

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

In 15–20, write the number positioned at each point.

Answers

Answer:

See below.

Step-by-step explanation:

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5

What is Number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.

To learn more on Number System click:

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Two cards are drawn without replacement from an ordinary​ deck, find the probability that the second is not a black card​, given that the first is a black card. What is the conditional​ probability?

Answers

Answer:

(a)  [tex]\frac{26}{51}[/tex]

(b)  [tex]\frac{26}{51}[/tex]

Step-by-step explanation:

(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e

P = number of favourable outcomes / total number of possible outcomes

For drawing a first card which is black,

number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)

total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)

∴ Probability of drawing the first black card = 26 / 52 = 1 / 13

Since the second card is not a black card, it is a red card.

number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)

total number of possible outcomes = 51 (since a black card has been previously picked from the deck)

∴ Probability of drawing a second black card = 26 / 51

The probability that the second is not a black card is 26 / 51

(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,

It is given by;

P(B|A) = P(A and B) ÷ P(A)

In this case;

event B is drawing a second card which is not black

event A is drawing a first card which is black

This implies that;

P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]

P(A) = [tex]\frac{1}{13}[/tex]

Substitute these values in the equation for conditional probability as follows;

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]

P(B|A) = [tex]\frac{26}{51}[/tex]

Therefore the conditional probability is  [tex]\frac{26}{51}[/tex]

A rectangular in ground pool needs to be filled with water. The pool is 20 feet long 9 1/2 feet wide, and 5 1/2 feet deep determin the maximum amount of water the pool can hold? PLS ANSWER IM GOING TO FAIL

Answers

Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?​

Answers

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

Help pls help pls help pls

Answers

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.

Answers

Answer:   Ellipse

==================================================

Explanation:

Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.

Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.

The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.

Find sin S, sin R , cos S, and cos R.

Answers

Answer:

Step-by-step explanation:

sin S=21/75

sin R=72/75

cos S=72/75

cos R=21/75

Answer:

sin R = 72/75

cos R = 21/75

sin S = 21/75

cos S = 72/75

Step-by-step explanation:

sin = opposite side / hypotenuse

sin = adjacent side / hypotenuse

What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth .

Answers

Answer: 282.743 in2

Step-by-step explanation:

Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.

Answers

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

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Which quotation from the passage most clearly shows that the author thinks Mount Shasta is very impressive?1. "is the single cone of an immense, extinct volcano"2. "occupies the country east of Scott's Mountain"3. "they are utterly inconspicuous under the shadow of the great peak"4. "a grandeur equaled by hardly any American mountain" What impact did the establishment of churches have on freed African-Americans during the Reconstruction Era? Which is not grammatically correct?Gestern kam der Chef spt zur Arbeit.Zur Arbeit kam der Chef gestern spt.Spt kam der Chef gestern zur Arbeit.Der Chef zur Arbeit kam spt. Calculate the volume of the composite solid. Crane Company has 900 shares of 4%, $100 par cumulative preferred stock outstanding at December 31, 2018. No dividends have been paid on this stock for 2017 or 2018. Dividends in arrears at December 31, 2018 totala) $400.b) $3600.c) $7200.d) $0. Dr. Nachman and his colleagues collected rock pocket mice across 35 kilometers of the Arizona Sonoran Desert, which included both dark, rocky lava outcrops and light, rocky, granite areas. They recorded substrate color, and coat-color frequencies for each location. Each site was separated from any of the others by at least eight kilometers. The researchers trapped a total of 275 mice. Their data are summarized below: Collecting Site Substrate Color Number of Mice Phenotype Light Dark1 Dark 22 3 192 Light 80 74 63 Light 22 19 34 Dark 28 3 255 Light 58 25 336 Dark 65 9 56Required:a. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on light-colored substrates.b. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on dark-colored substrates.c. Using the Hardy-Weinberg equation and data from the table above, determine the frequency of the three genotypes on the light, rocky, granite substrate. For genotype frequencies use three decimal places and for calculations using the allele frequencies, you must round the allele frequencies to two decimal places. When designing an experiment, you come up with the question: How does the amount you talk to a plant help it grow? Which would be the best hypothesis Mi mama siempre dibuj ________A. abaB.alas flores If you had a dog as a pet, what needs would you give it? is A tomato smells rotten a chemical reaction Plz help me well mark brainliest if correct a florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days starting from the fourth day of the year. when is the first THREE TIMES she will order the flowers on the same day? On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios. 14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5km/hr2? Question 3 of 25If f(x) = 3x + 2, what is f(5)?O A. 10O B. 17O c. 1O D. 13 -x if x siFind f(7) for f(x) = 3 x + 5 if 15x PLS HELP ILL GIVE BRAINLIEST Please help! Ill make you the Brainlyest, I cant get this one wrong. I NEED HELP PLEASE IT WOULD HELP ME ALOT Plzzz help as soon as possible