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
57/6 = 1/x
57 = 6x
x = 0.11 miles per minute
Answer:
1) m=2/9; y-intercept= 17/3
2) m=7 ; y-intercept= 22
3) m= -2/11 ; y-intercept= 100/11
4) m= 13/19 ; y-intercept= -53/13
Step by Step Explanation:
Use the slope formula to find the slope m.
Answer:
As per the statement;
The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km
From the above information,
The ratio between Distance and Days is;
then,
the distance it takes for the moon to travel one day of its orbit around the earth we have;
km.
Therefore, the distance in kilometer does the moon cover in 1 day is 86178.57 km
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)