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Nat2105 [25]
3 years ago
11

D=1/3fk, solve for f

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

f=3d/k

Step-by-step explanation:

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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
(Iready) I need you alot! plss
nadezda [96]

Answer:

when u multiple it it us 100 but when I added it was 21

so it is 100 or 21 sorry if it is not right

4 0
2 years ago
Read 2 more answers
What is the answer to 2 1/4 x 3 1/9
vlada-n [284]
2 1/4 times 3 1/9

Make the fractions into decimals

So now it’s 2.25 times 3.11...

Multiply that to get 6.99 but since the 3.11... is a repeated sequence you would round it to 7, which is your answer!
3 0
2 years ago
Read 2 more answers
Marcia has $84 less than three times as much as sue. together they have $132. how much money does marcia have?
Brut [27]
Let x = sue
and then let 3x-84 = marcia
therefore
(x)+(3x-84)=132
4x-84=132
4x=216
x=54

however just solving for x doesnt completely solve. it only shows sues money because x = sue
for marcia
3x-84
3(54)-84
162-84
78

therefore Marcia has 78$.
5 0
3 years ago
I sent pic for help. Question has 3 parts
anastassius [24]
P(head)=178/200
=89/100
4 0
2 years ago
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