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iren [92.7K]
3 years ago
12

Approximately how many times greater is 1.2×103 than 4×10−1 ?

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0
3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
*
10
^
3
=
÷
4
*
10
^
(-1) 
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1 
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000. 

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
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Distribute 3(2x + 5) please help
DIA [1.3K]

Answer: 6x + 15

Step-by-step explanation: The distributive property tells us that if we are given an expression such as 3(2x + 5), we can multiply the 3 by both the 2x and the 5 to get 6x + 15.

My work is also shown below.

6 0
3 years ago
The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is t
kykrilka [37]

The distance between park station 1 and the point where the flare was set off is 73.9 km.

<h3>What is distance?</h3>

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

  • a/sinA = b/sinB....................... Equation 1

Where:

  • a = Distance between park station 1 and the point where the flare was set off.

Make a the subject of the equation

  • a = bsinA/sinB............ Equation 2

From the diagram,

Given:

  • A = 59°
  • B = (180-59-75) = 46°
  • b = 6.2 km

Substitute these values into equation 2

  • a = 6.2(sin59°)/(sin46°)
  • a = 73.9 km

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

Learn more about distance here: brainly.com/question/17273444

#SPJ1

5 0
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