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inysia [295]
3 years ago
13

Can someone explain to me the Laws of Sine and Cosine. Will mark brainliest.

Mathematics
2 answers:
melomori [17]3 years ago
7 0
The Law of Sines establishes a relationship between the angles and the side lengths of ΔABC: a/sin(A) = b/sin(B) = c/sin(C). Sine is always positive in this range; cosine is positive up to 90° where it becomes 0 and is negative afterwards
worty [1.4K]3 years ago
3 0

Answer:

here you are

i hope it helps! :)

Step-by-step explanation:

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Gary drew a rectangle with a perimeter of 16 inches. Then he tried to draw a square with a perimeter of 16 inches.
RSB [31]

Answer: I think u have to multiply all da numbers.

Step-by-step explanation:

4 0
3 years ago
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Determine the critical value or values for a one-mean z-test at the 1% significance level if the hypothesis test is right-tailed
kifflom [539]

Answer:

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

z_{crit}= 2.326

Step-by-step explanation:

Notation

\bar X represent the sample mean

\sigma represent the standard deviation for the population      

n= sample size      

\mu_o represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

z_{crit}= 2.326

3 0
3 years ago
a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet lon
Vikentia [17]
  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

<h3>What exactly is sines law?</h3>
  • The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
  • SinA/a = SinB/b = SinC/c
  • Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.

So, Part A:

By employing the sines law,

  • SinA/10 = SinB/13
  • SinA/10 = Sin50/13
  • A = 36.10
  • C = 180-(180-36.10)
  • C = 93.90

So,

  • Sin36.10 / a = Sin50/ b = Sin93.90/c
  • Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
  • c = Sin93.90 × 13 ÷ Sin50
  • c = 16.93 ft

Now, Part B:

Area of the mainsail:

  • = 1/2 × abSinC
  • = 1/2 × 10 × 13 × Sin93.90
  • =  64.85

Therefore, the answers to both parts are:

  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

Know more about sines law here:

brainly.com/question/27174058

#SPJ4

The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

6 0
2 years ago
Convert the following temperatures from Fahrenheit to Celsius or vice versa. a. 90°F b. 55°C c. -20°C a. 90°F=| °C Туре an integ
denis-greek [22]

Answer:

a. 32,2°C

b. 131 °F

c. -28,9°C

Step-by-step explanation:

We must consider the following formula:

(x-32) × 5/9 = y , where x= temperature in °F an y= temperature in °C

Then,

a) In the formula we replace x=90° F, and we have: y = (90-32)× 5/9 = 32,2 °C

b)  In the formula we replace y=55° C, and we have: 55 = (x-32)× 5/9 ⇒ 55×9/5 =x-32 ⇒ x=(55×9/5)+32 = 131 °F

c) In the formula we replace y= -20° C and we have: -20 = (x-32)× 5/9 = -4°F

8 0
3 years ago
How to solve (<br> 7•6-4^2)+4
Anuta_ua [19.1K]

Answer:

30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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