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kolbaska11 [484]
3 years ago
9

Find the slope of (1,8) and (3,12) ?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

The slope is 2.

Step-by-step explanation:

Slope formula is rise/run. So in other words, it is y2-y1/x2-x1. In this case it would be 12-8/3-1. That equals 4/2. You need to simplify that by dividing both 4 and 2 by 2. So, that gives you 2/1. Whenever you have a number over 1 that is the same as saying just the numerator. So the slope would be 2.

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the radius of one circular field is 5m and that of other is 3m.find the radius of circular field whose area is the difference of
Alex777 [14]

Answer:

4m

Step-by-step explanation:

  1. Recall the formula for area of a circle for each calculation
  2. Calculate the area of the large field (r = 5m)
  3. Calculate the area of the small field (r = 3m)
  4. Find the difference in area
  5. Find the radius of the "difference" field using difference in area

The formula for area of a circle is A = πr².

"A" means area.

π is pi. <em>I will use the π button</em>, but some teachers ask to use 3.14.

"r" means radius.

Area of large field:

Substitute "r" for 5m in the formula.

A = πr²

A = π(5m)²

A = π25m²

A = 78.5398163397 m²

Area of small field:

Substitute "r" for 3m in the formula.

A = πr²

A = π(3m)²

A = π9m²

A = 28.2743338823  m²

Difference in areas:

Subtract the area of small field from the area of large field.

(78.5398163397 m²) - (28.2743338823  m²)

= 50.2654825 m²

Radius of "difference" field:

Since we are looking for radius, not area, rearrange the formula to isolate "r".

A = πr²

\frac{A}{\pi } = \frac{\pi r^{2}}{\pi}     Divide both sides by π

\frac{A}{\pi } = r²                π cancels out on the right side

\frac{A}{\pi } = √r²             Square root both sides

\sqrt{\frac{A}{\pi }} = r        ² and √ cancel out, leaving "r" isolated

r = \sqrt{\frac{A}{\pi }}       Variable on the left for standard formatting

Substitute "A" for the difference in area

r = \sqrt{\frac{A}{\pi }}

r = \sqrt{\frac{50.2654825m^{2}}{\pi }}     Divide by pi first

r = \sqrt{16.0000000135&#10;m^{2}}            Find the square root

r ≈ 4m

The radius of the field that has the area of the difference in the two fields is 4m.

3 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a uniform strip of floor aroun
Alexus [3.1K]

Answer:

18 ft. wide by 24 ft. long

Step-by-step explanation:

this would leave a uniform strip of 2 ft around the rug and stay in her price range for 432 square feet of carpeting.

and 18 times 24 = 432 square feet

7 0
2 years ago
A milligram is what fraction of a kilogram
pishuonlain [190]
The answer is 1/1000000
4 0
3 years ago
Kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is
koban [17]

If the number of days is d and he writes 3 pages for every d, then we can say

3d = 81

3 0
3 years ago
Explain why the given condusion uses inductive reasoning.
Ilia_Sergeevich [38]

Answer:

No conclusion

Step-by-step explanation:

The two patterns have no relationship

Therefore, there is no inductive reasoning used

8 0
2 years ago
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