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Elanso [62]
2 years ago
12

A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:$247

Step-by-step explanation

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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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#SPJ1

7 0
1 year ago
Organization is the key to an effective speech. Proper organization allows for a logical flow of words and ideas in a speech, ma
GREYUIT [131]

Answer:

This seems more like an answer then a question, did you perhaps mean to put this on someone elses question?

Step-by-step explanation:

4 0
3 years ago
Which expression has the same value as the expression 8x^2 + 2x - 6) - (5x^2 - 3x + 2)?
soldi70 [24.7K]
Answer D
use photomath and sub to pewdiepie
6 0
3 years ago
What type of number is<br> -15/3
Oduvanchick [21]

Answer:

Rational

Step-by-step explanation:

Rational numbers can be reduced to a fraction

Irrational numbers cannot be reduced to a fraction

Whole numbers are positive numbers that are not decimal or fraction

Integers are all numbers that are not decimal or fraction

6 0
2 years ago
What is the absolute change of 12.1 inches to 7.8 inches?
Troyanec [42]

Answer:

4.3

Step-by-step explanation:

12.1-7.8= 4.3

Hope this helps! :) Is correct pls mark brainliest!

3 0
2 years ago
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