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3 years ago

49953 rounded to the nearest hundred

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

The answer is pretty simple it is 50000

mina [271]3 years ago

4 0

Answer: 50,000

Step-by-step explanation: To round 49,953 to the nearest hundred, we first find the digit in the rounding place which in this case is the 9 in the hundreds place. Since the digit to the right of the 9 is 5 which is greater than or equal to 5, we round up.

Therefore, 49,953 rounded to the nearest hundred is 50,000.

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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0

3 years ago

Solve for x: 2(3x - 9) = 18x x = -3/2 x = 3/2 x = 0 x = 6

Mila [183]

Remember yo can do anything to an equation as long as you do it to both sides

so
remember distributive property
a(b+c)=ab+ac

so first distribute
2(3x)+2(-9)=18x
6x-18=18x
minus 6x both sides
-18=12x
divide both sides by 12
-18/12=x
-9/6=x
-3/2=x

easier way is to first divide both sides by 2

x=-3/2

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4 years ago

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Answer:

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Step-by-step explanation:

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