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Dvinal [7]
3 years ago
5

A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (4, 7). What is

the vector joining the ship to the rock?
What angle θ does this vector make with due north? (This is called the bearing of the rock from the ship. Round your answer to two decimal places.)
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Answer:

  • (3, 7)
  • 23.20°

Step-by-step explanation:

The vector in component form is the difference of the coordinates of its end points:

  rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock

__

The angle from North can be found using the tangent relation:

  tan(bearing) = (east distance)/(north distance) = 3/7

  bearing = arctan(3/7) ≈ 23.1986°

The bearing of the rock is 23.20°.

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Use a two-column proof to prove the Triangle Proportionality Theorem:
photoshop1234 [79]

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

4 0
3 years ago
Can you add a negative and a positive when doing like term
Verdich [7]
Yes, you can add a negative and a positive when doing like terms.
5 0
3 years ago
Read 2 more answers
4y-8-2y+5=0 help please
tia_tia [17]
4y - 8 - 2y + 5 = 0
2y - 3 = 0
2y = 3
y = 3/2
4 0
3 years ago
Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a
Andrew [12]

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

4 0
2 years ago
(03.01 LC)
Sedaia [141]
  • Perpendicular=P=4
  • Base=B=4

Hypotenuse be H

Apply Pythagorean theorem

\\ \tt\hookrightarrow H^2=P^2+B^2

\\ \tt\hookrightarrow H^2=4^2+4^2

\\ \tt\hookrightarrow H^2=32

\\ \tt\hookrightarrow H=\sqrt{32}

\\ \tt\hookrightarrow H=5.8units

8 0
3 years ago
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