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Savatey [412]
3 years ago
9

A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

istance of the boat from it’s starting point

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

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I need help on this.
mote1985 [20]

Let's go:


7 = x

38 + x = 180

x = 180 - 38

x = 142°


7 = 142°


I hope I helped you



5 0
3 years ago
A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height an
Tasya [4]
Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone. 

Height = 1/3 x 3 inches 
Height = 1 inch

----------------------------------------------------------------------------------------
Answer: The height of the cylinder will be 1 inch.
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3 0
3 years ago
What integer is closet to n​
11Alexandr11 [23.1K]

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

7 0
3 years ago
What is the volume of a sphere with a diameter of 15 cm? Round the answer to the nearest whole number.
AveGali [126]

Answer:

1767 cm³

Step-by-step explanation:

We can use volume V = 4/3 π r³

We have diameter of 15 cm. To get radius, we need to divide diameter by 2.

r = 7.5 cm

So now plug in r = 7.5 then calculate V:

V = 4/3 π ( 7.5 )³

V =  4/3 π * 421.875 ≈ 1767.145 ≈ 1767

Hope this helps.

8 0
3 years ago
What is the value of x in the equation 5(3x + 4) = 23
abruzzese [7]

5(3x+4)=23

15x+20=23

15x=23-20

15x=3

x=3/15

x=1/5=0.2

4 0
2 years ago
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