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OverLord2011 [107]
3 years ago
12

When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least

accurate of the numbers being added. Group of answer choices True False
Mathematics
1 answer:
inessss [21]3 years ago
7 0

<u>Answer:</u> The given statement is true.

<u>Step-by-step explanation:</u>

Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.

There are some rules to detect the significant figures in a number:

  • All digits ranging from 1 to 9 are always considered significant.
  • Every non-zero number is always considered significant. For example, 274, 2.74, and 27.4 all have three significant figures.
  • All zero’s that are present between the integers is always considered significant. For example, 5007, 5.007, and 50.07 all have four significant figures.
  • All zero’s preceding the first integer is never considered significant. For example, 0.0089 has two significant figures.
  • All zeros that are present after the decimal point are always significant. For example, 4.800, 48.00, and 480.0 all have four significant figures.

<u>Rule applied when numbers are added or subtracted:</u>

The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.

Hence, the given statement is true.

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By driving 8 mph faster than Bob, John can make a 230 mile trip in one half hour less.How fast does Bob drive on the trip? Round
aivan3 [116]

Answer:

  57 mph

Step-by-step explanation:

Let b represent Bob's speed on the trip. Then his time is ...

  time = distance/speed

  Bob's time = 230/b

Then John's speed is b+8, and his time is ...

  John's time = 230/(b+8)

The difference of their times is 1/2 hour:

  Bob's time - John's time = 1/2

  230/b -230/(b+8) = 1/2 . . . substitute the expressions for time

  460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)

  b^2 +8b -3680 = 0 . . . . . . .put in standard form

  (b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square

  b = -4 +√3696 ≈ 56.795 . . . solve for positive b

Bob's drove about 57 mph on the trip.

3 0
3 years ago
Which of these is a point-slope equation of the line that is perpendicular to y-25 = 2(x - 10) and passes through (-3, 7)?
nydimaria [60]

Answer:

B. y-7 = 1/2(x+3)

Step-by-step explanation:

The coordinates in the question must be inverted (so -3 would become +3 and +7 would become -7)

We know that the line would be perpendicular when (x+3) is preceded by -2

You can double check this by going to a website that graphs equations and overlapping the lines.

5 0
4 years ago
What is equifenlnt to 35000 cm in kelomiters
zloy xaker [14]

Answer:

.35 kilometers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If the radius is 14cmand The perimeter of the sector is 57.32cm.<br>what is the size of the angle?​
Degger [83]

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = \frac{\theta}{360} *2\pi r + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = \frac{\theta}{360} *2\pi r + 2r

57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o

7 0
3 years ago
By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
Vadim26 [7]
The Boat Turned 39 Degrees
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3 years ago
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