Answer:
sin(-255°) = √2 + √6/4
Step-by-step explanation:
We need to find sin -255°
We know that sin(-a) = - sin(a)
so, sin(-255°) = - sin 255°
We know that 180° + 75° = 255°
Now we can write sin(255°) = sin(180° + 75°)
We can use the identity:
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
x = 180° , y = 75°
Solving,
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)
sin(180°) = 0
cos(75°) = √6 -√2/4
cos(180°) = -1
sin( 75°) = √2 + √6/4
Putting values,
sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)
sin(180° + 75°) = -(√2 + √6/4)
We know that sin(-255°) = -sin(255°)
Putting value of sin(255°)
sin(-255°) = -(-(√2 + √6/4))
sin(-255°) = √2 + √6/4
TO CALCULATE APPROXIMATELY THE AMOUNT OR VALUE OF SOMETHING IS CALLED ESTIMATION.
<u>APPROXIMATION AND ESTIMATION ARE SYNONYMS!!!!!! HOPE THIS HELPS!!!!!!!!</u>
We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.
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How old is Andrés?
We know that the percentage in which the price decreases is equal to the age of Andrés.
We can write:
P = $4,000 = $40,000*(1 - k)
Where k is the percentage in decimal form.
Solving for k:
k = ($40,000 - $4,000)/$40,000 = 0.9
To obtain the percentage, we multiply by 100%.
0.9*100% = 90%
We conclude that Andrés is 90 years old.
If you want to learn more about percentages.
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Its the fourth option, as, sin^2A + cos^2A = 1
so, sin^2A = 1 - cos^2A
First, you have to apply the Pythagorean Theorem to this problem to solve for the hypotenuse.
22^2 + 15^2 = c^2
"C", which is the hypotenuse, is approximately 26.63 inches long. So, now add all the sides, and you should have 63.63 inches as your final answer.