Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
Quilt
Step-by-step explanation:
F(x)= 650(1+.12)^x
f(x) = 650(1.12)^x
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:
If your question is -2 - 4 - 2 - 2.1 then the answer is -10.1
Step-by-step explanation:
-2 - 4 - 2 - 2.1
= (-2 - 4 ) - 2 - 2.1 Combine -2 with -4 or subtract them
= -6 - 2 - 2.1
= (-6 - 2 )- 2.1 Combine -6 and -2
= -8 -2.1 Combine -8 and -2.1
= -10.1
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