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Alekssandra [29.7K]
3 years ago
9

A hiker begins a trip by first walking 22.2 km

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

9514 1404 393

Answer:

  20.6 km

Step-by-step explanation:

Using (East, North) coordinates, the hiker's position ends up being ...

  22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))

We're only interested in the second coordinate of this total, which is ...

  22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km

The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Find the slope of the line passing through the points (-4, -4) and (2, 5)​
Sliva [168]

Answer: The slope is 3/2

Step-by-step explanation:

To find the slope, you need to find the difference between the y coordinates and  divide it by the difference in the x coordinates.

The y coordinates are  -4 and 5

The x coordinates are  -4 and 2

-4 -5 = - 9

-4 - 2 = -6

-9/-6 =  3/2

4 0
4 years ago
Find the measure of the indicated angle to the nearest degree 9 25
SCORPION-xisa [38]

Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7.  Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8.  Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

=14.7

9.  Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

=6.3

8 0
3 years ago
How to find the surface area of triangular prisms<br> ?
Lunna [17]

Answer:

To find the area of the rectangular sides, use the formula A = lw

To find the area of the triangular faces, use the formula A = 1/2bh,

Step-by-step explanation:

1st formula where A = area, l = length, and h = height.

2nd formula where A = area, b = base, and h = height.

8 0
3 years ago
Read 2 more answers
If we consider the toss of four coins as an experiment, how many equally likely outcomes does the sample space have?
Arturiano [62]
There are 16 possible outcomes.

This is found by taking the number of possible outcomes for each toss, 2, and raising it to the 4th power (for 4 tosses):

2⁴ = 2*2*2*2 = 16
6 0
4 years ago
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