Answer:
Yes, x and y have a proportional relationship.
Step-by-step explanation:
A proportional relationship means that, when comparing two quanities, that they are both changing at a constant (same) amount. When looking at a table to compare quantities, you can see that the pounds of tomatoes 'x' is increasing by one (1) each time. If you look at the amount spent in dollars 'y', you can see that for each pound (x), the cost is increasing by $4. So, since for every pound of tomatoes that is purchased increases by $4, then their relationship is proportional.
Answer:
1.17 units
Step-by-step explanation:
From the definition of the sine of an angle, you know ...
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is ...
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
The answer is B. y = -cos(x)
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, 
and 
are similar triangles.
Because, 
and 
(because EA and KD are parallels. And, 
is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.
