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Y_Kistochka [10]
3 years ago
9

Statement: The sum of a rational number and an even integer is rational.

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

Always true.

Step-by-step explanation:

Suppose the rational number was p/q and the even number was 2n where p, q and n are integers.

p/q + 2n

= (p + 2nq) / q  which is rational.

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If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

3 0
3 years ago
(-4,2) and (5,6) slope=
zhannawk [14.2K]
The slope for those numbers is 4
8 0
4 years ago
Read 2 more answers
1 and the
umka2103 [35]

Answer:    There is a bunch of spelling mistakes in ur thing

Step-by-step explanation:

6 0
3 years ago
25POINTS!!!
Anastasy [175]

i. Let t be the line tangent at point J. We know that a tangent line at a  point on a circle, is perpendicular to the diameter comprising that certain point.

So t is perpendicular to JL


let l be the tangent line through L. Then l is perpendicular to JL

 

ii. So t and l are 2 different lines, both perpendicular to line JL.


2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.


Remark. Draw a picture to check the steps

4 0
3 years ago
Read 2 more answers
Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
LenKa [72]

Answer:

see below

Step-by-step explanation:

The equation to determine the work time is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/80 + 1/30 = 1/c

Multiply by the least common denominator to clear the fractions, which is 240c

240c(1/80 + 1/30 = 1/c)

3c+8c = 240

11c = 240

Divide by 11

11c/11 =240/11

c = 240/11 minutes

c=21.81818

Approximately 22 minutes

3 0
3 years ago
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