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4 years ago

What is the value of x?

Mathematics

1 answer:

Dvinal [7]4 years ago

5 0

3x+x=180
x=45 is the right answer

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NEED HELP ASAP<br> Solve 4 – x = –8.

Anna71 [15]

Answer:

i think it is 12 positive

Step-by-step explanation:

i think

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3 years ago

Make a conjecture for this scenario <br><br> the sum of the first 100 positive odd numbers

stira [4]

Answer:

10000

Step-by-step explanation:

there is a simple formula to remember.

the sum of n odd number = n^2

so for the sum of 100 positive odd numbers = (100)^2=10000

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3 years ago

It takes Fred 32 minutes to type and spell check 5 pages of a manuscript. Find how long it takes

sveta [45]

Answer:

Step-by-step explanation:

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6 0

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.

3 0

3 years ago

5. The daily temperature recorded (in degree F) at a place during a week was as under:

SSSSS [86.1K]

Answer:

29.9 °F

Step-by-step explanation:

The formular for mean is given as;

Mean = Sum of Terms / Number of terms

Number of terms = 6

Sum of terms = 35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9 = 179.4

Mean = 179.4 / 6 = 29.9

4 0

3 years ago