A star has a diameter of 4,680,000,000 units. Express this number in scientific notation.

Mathematics

2 answers:

attashe74 [19]3 years ago

8 0

The answer should be 4.68x10^9.

cricket20 [7]3 years ago

6 0

Answer:

$4.68\times10^9$

Step-by-step explanation:

Scientific notation is defined as a way of writing very large or very small numbers.

A number between 1 to 10 is written in scientific notation when it is multiplied by a power of 10.

Here the given scenario is :

A star has a diameter of 4,680,000,000 units.

So, in scientific notation we can write this as :

$4.68\times10^9$

We can check this if we multiply this by 10^9. This will shift the decimal to 9 places in the right side.

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eduard

9514 1404 393

Answer:

5. x = 160; y = 20

6. h = 125°; g = i = 55°

Step-by-step explanation:

Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.

5. x° and 160° are vertical angles: x° = 160°

y° and 20° are vertical angles: y° = 20°

6. h° and 125° are vertical angles: h° = 125°

The angles g° and 125° form a "linear pair" so total 180°.

g° = 180° -125° = 55°

g° and i° are vertical angles: g° = i° = 55°

4 0

3 years ago

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

svetlana [45]

Answer:

<em>B</em> $(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)$

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B $\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}$