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-BARSIC- [3]
3 years ago
11

8. A ship leaves port at 9:00 a.m. and has a bearing of N 70° W. The ship sails

Mathematics
1 answer:
uysha [10]3 years ago
4 0

9514 1404 393

Answer:

  • 24.6 Nm north
  • 67.7 Nm west

Step-by-step explanation:

In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.

The coordinates in the x-y plane can be found to be ...

  72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)

The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.

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At the park, there is a triangular sandbox with base = 12ft and height = 4ft. A drawing of the sandbox is shown above. Brie want
sammy [17]

Your question is not clear, but it looks as though you want to know how Brie can make a similar sandbox with base = 8ft.

Answer:

For Brie to make a similar sandbox, he must use a base = 8ft, and height = (8/3)ft

Step-by-step explanation:

It is possible for Brie to make a similar triangular sandbox with base = 12ft and height = 4ft.

All he must ensure is that the ratio of base to height of the original sandbox is the same ratio of base to height of the one he is trying to make.

The original sandbox is 12:4

Because he wants to use a base = 8ft, the sandbox he is trying to make is 8:x

Where x is the height of the sandbox he is trying to make.

Then for these sandboxes to be similar, the ratio 12:4 = 8:x

=> 12/4 = 8/x

12x = 8 × 4

12x = 32

x = 8/3

The height must be (8/3)ft

3 0
3 years ago
Expression equivalent to (0.28t-0.3)-(0.7t-0.28)?
Softa [21]
B because it obviously can’t be any other
3 0
3 years ago
A. Draw the graph of the function y = |x - 2| - 1. B. Label the vertex and all intercepts. Upload a copy of your handwritten gra
hjlf

Step-by-step explanation:

y = |x - 2| - 1

Given equation is in the form of y=|x-h|+k

Where (h,k) is the vertex

h = 2  and k =-1

So (2, -1) is the vertex for the given function

To find x intercepts we plug in 0 for y

we will get two values for x because of absolute function

0 = |x-2| -1

add 1 on both sides

|x-2| =1

x-2 =1                          and x-2 =-1

x= 3                          and x= 1

So x intercepts are (1,0)  and (3,0)

the graph is attached below


6 0
3 years ago
Simplify the following.<br>4p^3q^2 x-3p^6q^5​
skelet666 [1.2K]

Answer:

View picture for answer.

Step-by-step explanation:

4 0
3 years ago
Find the value of X. 87° 92° 105 135​
Makovka662 [10]

Answer:

121°

Step-by-step explanation:

Sum of angles in a pentagon = ( n-2) 180

(5-2)180

=3x180

=540°

X+87+92+105+135=540

X+419=540

X=540-419

X=121°

7 0
3 years ago
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