What is -2.6 plus 1-3/4

Show that 43\2^4×5^3 will terminate after how many places of the decimal

hichkok12 [17]

Answer:

4 places after the decimal.

the result is 0.0215

Step-by-step explanation:

I assume the expression is really

43 / (2⁴ × 5³)

this is the same as

(((((((43 / 2) / 2) / 2) / 2) / 5) / 5) / 5)

since the starting value is an odd number, the first division by 2 creates a first position after the decimal point, and it must be a 5, as the result is xx.5

the second division by 2 splits again the uneven end .5 in half, creating a second position after the decimal point again ending in 5, as the result is now xx.x5

the third division by 2 does the same thing with that last 5 and creates a third position after the decimal point ending again in 5, as the result is now xx.xx5

the fourth division by 2 does again the same thing, a fourth position after the decimal point is created ending in 5. now xx.xxx5

in essence, every division of the 0.5 part by 2 is the same as a multiplication by 0.5, which squares 0.5 leading to 0.5². the next division did the same thing leading to 0.5³.

and finally the fourth division to 0.5⁴.

0.5⁴ = (5/10)⁴ = 5⁴/10⁴

so, now we start to divide this result by 5. since the positions after the decimal point are divisible by 5 without remainder, as we have 5⁴ to work with.

every divisible by 5 takes one of these powers away.

so, we go from 5⁴/10⁴ to 5³/10⁴ to 5²/10⁴ to 5/10⁴.

all the time we maintain the 10⁴ in the denominator of the fraction. and that determines the positions after the decimal point.

so, after all the individual divisions we come to and end and are still limited to the 4 positions after the decimal point.

3 0

3 years ago

Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle AB

OLga [1]

Answer: No. The triangles are not congruent because their side lengths are different.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A map has a scale of 1 inch: 3 kilometers. Use the given distance to find the distance on the

grigory [225]

A I think but I’m not sure

8 0

3 years ago

What is the area of a rectangle with vertices at (6,-3), (3,-6), (-1,-2), and (2,1). Enter your answer In the box

vladimir2022 [97]

Answer:

24 units

Step-by-step explanation:

Start by plotting on the rectangular coordinate system the four points given: (6,-3), (3,-6), (-1,-2) , and (2, 1)

Please see attached image for guidance with the answer.

These four points are represented with green dots in the image.

Notice that such rectangle can be viewed as inscribed in a larger square that is 7 units by 7 units, and on which these four points (the vertices of the rectangle) touch the square's perimeter.

So to make the calculation simple, we can find the area of the larger square (very simple to calculate since it is 7 times 7 = 49) and subtract from it the area of the four triangles that are depicted in yellow and in light green. Such result will give us the area of the rectangle (white background).

Out of the four triangles whose areas we need to extract, we notice that they are all right angle triangles with simple formulas to calculate their areas: base times height divided by 2.

The triangles in green have base 3 and height 3 so their areas are: (3 * 3) /2 = 4.5. since they are two of these the total area of the green triangles is 4.5*2 = 9

We do something similar with the yellow triangles, noticing that their base and heights are 4 and 4 respectively which gives an area of (4*4)/2 = 8

Again, since there are two of them, we multiply this by 2: 8 * 2 = 16

Now to calculate the area of the white rectangle we do:

Area of big square minus area of green triangles minus area of yellow triangles: 49 - 9 - 16 = 24

3 0

3 years ago

MATH1314-1043,1044 16wks SPR21

Brilliant_brown [7]

Step-by-step explanation:

how where is the graph cause I don't understand that

6 0

3 years ago