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Lyrx [107]
3 years ago
15

2

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0

Answer:

D. 1 sticks of butter HEHEHEHEHHEHEHEHHEHE

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a ship leaves port on a bearing of 44.0 degrees, and travels 11.4 mi. the ship turns east and travels 6.2 mi. How far is the shi
Rudik [331]

Based on the information provided, \overrightarrow{r} = at a bearing angle of = 59.88° .

We are requested to calculate the overall displacement of the ship, both in magnitude and direction, once it departs the harbor under the stated parameters. First, let's define a bearing.

<h3>What is bearing in the context given above?</h3>

Angles are generally measured anticlockwise from the positive x-axis, whereas bearing angles are evaluated clockwise from the positive y-axis. A bearing is NOT a standard angle measuring tool.

Therefore, a bearing of 44.0° indicates that this is an angle 90.0° - 44.0° = 46°. This is the angle to be used in the calculations.

We're given that the first displacement is 11.4° at an angle of 46° (which was computed earlier).

Step 1  - Split the above into components

x1 = 11.4 Cos 46°

= 7.92m

y1 = 11.4Sin 46.0°

= 11.4 * 0.71933980033

= 8.2m

The second displacement is a simple 6.2mi due east, that is, the positive

x-direction. The components are thus:

Δx = x1 + x2

= 7.92 + 6.2

= 14.12mi

Δy = 1 + y2

= 8.2 + 0

= 8.2

r = √(x total)² + (y total)²

=√[(14.21)²+(8.2)²]

= √(201.9241 +67.24)

= √269.1641

= 16.4mi

The direction of the displacement vector is given by:

tan Ф = (Δy)/(Δx)

= arctan (8.2/14.12)

= arctan (0.5807365439)

= 30.12°

Recall that we were asked for the bearing angle. The bearing angle is what we get when we subtract 30.12° from 90°.

That is:
= 90 - 30.12

= 59.88°

Learn more about bearing angle:
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7 0
1 year ago
Everything I don’t understand
irina1246 [14]

Answer:

what don't you understand

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!! which expression is equivalent to (3x)^4
dolphi86 [110]
The answer is b because youre multiplying 3 and 4 but the 4 stays in the same spot!
7 0
3 years ago
Will someone please check my answers asap?? will give a brainliest
Usimov [2.4K]

Your choices are correct.

1. adding -3 to the function shifts its graph downward by 3 units.

2. 7^(2x) = (7^2)^x = 49^x

3. f(0) = -6; g(0) = -3, f(0) = 2×g(0)

3 0
3 years ago
Given the recursive formula shown, what are the first 4 terms of the sequence?
jeyben [28]

Answer:

B. 5, 20, 80, 320.

Step-by-step explanation:

f(1) = 5

After the first rem, each term id 4 times the previous term,  so:

f(2) = 4f(1) = 4*5 = 20.

f(3) = 4f(2) = *20 = 80

f(4) = 4(f3) = 4*80 = 320.

6 0
3 years ago
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