Answer:
D
Step-by-step explanation:
BD is a mid- line segment and is one half the length of AE, that is
BD = 0.5 × 21 = 10.5 → d
Answer: Choice D) sin(x)/cos(y) = 1---------------------------------------------
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Label the sides as shown in the image attachment.
P = horizontal leg (opposite of angle x; adajcent to angle y)
Q = vertical leg (opposite of angle y; adajcent to angle x)
R = hypotenuse (longest side; always opposite the 90 degree angle)
Use the definitions of sine and cosine to say...
sin(Angle) = opposite/hypotenuse
sin(x) = P/R
and
cos(angle) = adjacent/hypotenuse
cos(y) = P/R
Notice how sin(x) = cos(y). This is true any time x+y = 90 which is the case here (x and y are complementary angles). A more specific example is sin(30) = cos(60) which are both equal to 1/2 or 0.5
Since sin(x) = cos(y), this means sin(x)/cos(y) = 1 as any expression divided by itself is equal to 1. Keep in mind that cos(y) cannot equal zero.
This is why
choice D is the final answer.
side note: something like cos(x)/sin(y) or sin(y)/cos(x) or similar are all equal to 1 as long as x+y = 90
Answer:
D) exponential growth function
Step-by-step explanation:
All three of these angles will add up to 180.
Set up an equation so all three will add to 180:
Combine like terms:
Divide both sides by 12:
x will equal
15.