Answer:
Step-by-step explanation:
It's basic plotting its easy :)
Answer:
71°
Step-by-step explanation:
The cosine of an angle is equal to the sine of its complement:
cos(19°) = sin(90° -19°) = sin(71°)
Comparing to the given expression, we see that x = 71°.
Answer:
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Step-by-step explanation:
Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that
sin A / a = sinB/b = sin C / C
= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get
sin(55°)/8 = sinB/b
If we know sinB, we can multiply both sides by 8 to remove a denominator to get
sin(55°) * b / 8 = sinB
multiply both sides by 8 to remove the other denominator to get
sin(55°) * b = sinB * 8
divide both sides by sin(55°) to isolate the b
b = sinB * 8/sin(55°).
Therefore, if we know sinB, we can figure out the length of b.
Because the angles of a triangle add up to 180 degrees, we can say that
180 = 82 + 55 + angle B
180 = 137 + B
subtract both sides by 137 to isolate B
43 = B
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Roosters to chickens is 2 to 8
That means where there are 2 roosters, there are 8 chickens.
Simplify the ratio 2:8
The ratio can be simplified to 1:4
So, for 1 rooster, there are 4 chickens.
Now, the question says that if there are 5 roosters, how many chickens will there be?
1 rooster to 4 chickens
5 roosters to ? chickens
We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.
4 * 5 = 20
Where there are 5 roosters, there will be
20 chickens.
Another way to solve is as follows:

Your final answer is
20 chickens.<span />
(7) is the greatest common factor of 56 and 49