It is an empty set because nothing relates the two subsets
Answer:
(a) 3.8
Step-by-step explanation:
The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.
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<h3>compare angles</h3>
The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.
<h3>compare sides</h3>
Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.
EF > DE
EF > 3
Only one answer choice satisfies this inequality.
EF = 3.8
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<em>Additional comment</em>
If you want to do the actual computation, we have ...
EF/sin(D) = DE/sin(F)
EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828
EF ≈ 3.8
Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x
Answer:
um what?
Step-by-step explanation:
