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Strike441 [17]
3 years ago
13

A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the length. Find the area, taking

into account significant figures. (a) 6.783 0 x 10^3 m^2 (b) 6.783 x 10^3 m^2 (c) 6.78 x 10^3 m^2 (d) 6.8 x 10^3 m^2 (e) 7 x 10^3 m^2
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer: (d). Area = 6.8 × 10^3 m^2 (to 2 significant figure)

Step-by-step explanation:

The area to find rectangular is:

Area = length × breadth

Area = 32.30 × 210

Area = 6783 m^2

Area = 6.8 × 10^3 m^2 (to 2 significant figure)

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Find the equation of a line passing through points (-7, -10) , (-5, -20)
LuckyWell [14K]

You want to find the equation for a line that passes through the two points:

                          (-7,-10) and (-5,-20).

First of all, remember what the equation of a line is:

                                y = mx+b

here, m is the slope, b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through.

Consider (-7,-10) as point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-7 and y1=-10.

Consider (-5,-20), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=-20.

Now, just plug the numbers into the formula for m above, like this:

                       m= (-20 - -10)/(-5 - -7)

                                m= -10/2

                                   m=-5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

                                     y=-5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-7,-10). When x of the line is -7, y of the line must be -10.

(-5,-20). When x of the line is -5, y of the line must be -20.

Because  line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-7,-10) and (-5,-20).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.


You can use either (x,y) point you want.The answer will be the same:

(-7,-10). y=mx+b or -10=-5 × -7+b, or solving for b: b=-10-(-5)(-7). b=-45.

(-5,-20). y=mx+b or -20=-5 × -5+b, or solving for b: b=-20-(-5)(-5). b=-45.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points (-7,-10) and (-5,-20) is y=-5x-45.

                                 


8 0
3 years ago
Which values of a, b, and c represent the answer in simplest form 9/11 divided by 5/11
Elenna [48]

Answer:

1 4/5

Step-by-step explanation:

8 0
3 years ago
Can you please answer this question ​
schepotkina [342]

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

4 0
2 years ago
What is the arc length of an angle of 7π6 radians formed on the unit circle?
Digiron [165]
The formula for arc length is S = ∅*r. 
Where S is the arc length, ∅ is the angle measure in radians, and r is the radius of the circle.
S = *1
S = 
4 0
3 years ago
a number is multiplied by 3 and then 7 is added.The result is doubled ,giving the answer 80.Using n to represent the original nu
Darina [25.2K]

Answer:

2(n*3 + 7) = 80

Step-by-step explanation:

2(n*3 + 7) = 80

n*3 + 7 = 40

n*3 = 33

n = 11

5 0
3 years ago
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