Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
Split the fraction:
First fraction reduces to 1:
Simpify each with common arguments:
Answer:
y =
Step-by-step explanation:
given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition x = 9 and y = 4
k = yx = 9 × 4 = 36
y = ← equation of variation
Answer:
158%
Step-by-step explanation:
to convert decimal to percent, move decimal point 2 places back.
1.58 becomes 158%
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
<em>2/92 = X/100</em>
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
<em>(2)(100) = 92X</em>
<em>200 = 92X</em>
<em>X = 2.1739</em>
Then, once you round it, your answer would be X = 2.17.
Radius equals: 4.51
hope this helps! ♥