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BlackZzzverrR [31]
3 years ago
14

What is the answer to number 4

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
Small Blue=1
Large Green=6
Large Total=9
Blue Total =4
Total=12
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3 years ago
The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further from the lighthouse. The new bearing is 25°
djverab [1.8K]

Answer:

The distance between the ship at N 25°E and the lighthouse would be 7.26 miles.

Step-by-step explanation:

The question is incomplete. The complete question should be

The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further towards the south. The new bearing is N 25°E. What is the distance between the lighthouse and the ship at the new location?

Given the initial bearing of a lighthouse from the ship is N 37° E. So, \angle ABN is 37°. We can see from the diagram that \angle ABC would be 180-37= 143°.

Also, the new bearing is N 25°E. So, \angle BCA would be 25°.

Now we can find \angle BAC. As the sum of the internal angle of a triangle is 180°.

\angle ABC+\angle BCA+\angle BAC=180\\143+25+\angle BAC=180\\\angle BAC=180-143-25\\\angle BAC=12

Also, it was given that ship sails 2.5 miles from N 37° E to N 25°E. We can see from the diagram that this distance would be our BC.

And let us assume the distance between the lighthouse and the ship at N 25°E is AC=x

We can apply the sine rule now.

\frac{x}{sin(143)}=\frac{2.5}{sin(12)}\\ \\x=\frac{2.5}{sin(12)}\times sin(143)\\\\x=\frac{2.5}{0.207}\times 0.601\\ \\x=7.26\ miles

So, the distance between the ship at N 25°E and the lighthouse is 7.26 miles.

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3 years ago
There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangl
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Step-by-step explanation:

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3 years ago
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Solve for x.<br><br> 5/6 x = 10/3<br><br> x = 4/3<br><br> x = 2<br><br> x = 25/9<br><br> x = 4
SashulF [63]

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression \frac{5}{6}x=\frac{10}{3}, you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10

2)  You need to multiply both sides of the equation by 6:

(6)(\frac{15}{6}x)=(10)(6)\\\\15x=60

3) Finally, you can divide both sides of the equation by 15:

\frac{15x}{15}=\frac{60}{15}\\\\x=4

4 0
3 years ago
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