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lukranit [14]
3 years ago
10

The farther an integer is from 0, the ______ its absolute value.

Mathematics
2 answers:
Mashutka [201]3 years ago
8 0
bigger it's absolute value since absolute value is how far it is away from zero. Hope this helps.
Citrus2011 [14]3 years ago
5 0
I think it's higher because as far as the integer gets, the higher its absolute value gets. So, put higher in the blank.

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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
Can someone help me pls
IgorLugansk [536]
250 millilitres

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6 0
3 years ago
What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

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3 years ago
Quadrilateral ABCD is reflected across the y-axis and translated 1 unit down to create quadrilateral EFGH .
sleet_krkn [62]
GH is parallel to FE
8 0
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If you are in a great deal of debt but want to save for an emergency fund, you should
stepladder [879]
You should do the second one first
5 0
3 years ago
Read 2 more answers
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