Step-by-step explanation:
cot A + cot C
Write in terms of sine and cosine:
cos A / sin A + cos C / sin C
Common denominator:
(cos A sin C + cos C sin A) / (sin A sin C)
Angle sum formula:
sin(A+C) / (sin A sin C)
Angles of a triangle add up to π:
sin(π−B) / (sin A sin C)
Shift identity:
sin B / (sin A sin C)
Law of sines:
sin B / ((a sin B / b) × (c sin B / b))
sin B / (ac sin² B / b²)
b² / (ac sin B)
From law of cosine:
b² = a² + c² − 2ac cos B
b² = 2b² − 2ac cos B
b² = 2ac cos B
b² / (ac) = 2 cos B
Substituting:
2 cos B / sin B
2 cot B
Answer:
y= x-3
Step-by-step explanation:
Assuming that the meteor crater forms a hemisphere, the formula for the surface area of the crater would be 2(pi)(radius^2). Set the crater equal to the formula for a hemisphere and substitute pi for 22/7 and you’d get 9687 = 2(22/7)(radius^2). Do some quick magic on the calculator to simplify and you end up with about 60,889.71 = radius^2. Take the square root from both sides and you get 246.8 when rounded. That should be the length of the radius, and so to find the diameter, just multiply that by 2 to get 493.5. Now I don’t really know what shape you mean by meteor crater, so we’re just assuming here that you mean half of a sphere, or a hemisphere. Don’t know if this is what you’re looking for, so good luck.
First you should find the area of the rectangle in the middle.
A: 9 x 6 = 54
Then you can find the area of the triangle on the right.
A: 6 x 5 = 30/2 = 15
Then you can do the triangle on the right.
11-9 = 2
A: 2 x 6 = 12/2 = 6
Then you can add it all together.
15 + 6 + 54 = 74
So the area of the irregular shape is 74.
I hope this helps!
Answer:
it will take about 1/3 of the time (10 minutes)
Step-by-step explanation:
