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nevsk [136]
3 years ago
6

A ship sails 95 km on a bearing of 140 degrees,than further on 102km on a bearing of 260degrees,and than returns directly to its

starting point.Find the length and bearing of the return journey

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

1. 98.7 km

2. 303.5 degree

Step-by-step explanation:

Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.

To calculate the length AC of the returning journey, use cosine formula to calculate it.

To find the bearing of the returning journey, use sine rule to calculate it.

Please find the attached file for the solution

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Help!<br> What would d be?
Oxana [17]

Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

10² + 8² = c²

100 + 64 = 164

c² = 164

c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

6 0
3 years ago
if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!
GREYUIT [131]

Answer:  31) d     32) c

<u>Step-by-step explanation:</u>

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}

<em>2 is the only number in both sets</em>

32)

The pattern is: reflection, add symbol, ..., reflection, add symbol.

The last image shown is: add symbol

So the next image will be: reflection (flipped to the left)

7 0
3 years ago
State three other coordinates (within one rotation) for the polar point (4, -2pi/3)
nevsk [136]
The answer is what is shown on the phone

4 0
3 years ago
Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t
k0ka [10]

Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

r(s,t)=ssin4t,s^2,scos4t

Here, these are the respective x,y,z axes components.

  • <em>Component along x axis r_i : ssin4t</em>
  • <em>Component along y axis r_j : s^2</em>
  • <em>Component along z axis r_k : scos4t</em>

We see that , from the parameterised equation , r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j

This can also be written as :

x^2+z^2=y

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

<u><em>We get y=x^2 which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>

By fixing the value of x=0,

<u><em>We get y=z^2 which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>

Thus by fixing the values of x and z alternatively ,  we get a <u>CIRCULAR PARABOLOID. </u>

4 0
3 years ago
Help me solve this problem please
lara31 [8.8K]

Answer:

CD = 45

Step-by-step explanation:

CE = 180

( x + 6 ) + ( 4x - 21 ) = 180

5x - 15 = 180

5x = 195

x = 39

substitute x in CD

CD = x + 6

CD = 39 + 6

CD = 45

5 0
3 years ago
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