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andrey2020 [161]
2 years ago
11

What is the greatest integer that satisfies the inequality below?

Mathematics
1 answer:
BartSMP [9]2 years ago
3 0

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

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A meteor crater is 4000 feet in diameter. approximate the distance around the crater.
Troyanec [42]

9514 1404 393

Answer:

  12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

  C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

  (12,566 ft)/(5280 ft/mi) ≈ 2.38 mi

The distance around the crater is about 12,566 ft or 2.38 miles.

3 0
2 years ago
Can 12m, 35m and 37m make a right triangle
antoniya [11.8K]

Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

2

+

b

2

=

c

2

Substituting we get:

12

2

+

35

2

=

37

2

12

⋅

12

+

35

⋅

35

=

37

⋅

37

144

+

1225

=

1369

1369

=

1369

Because these are equal this is a right triangle.

3 0
2 years ago
Read 2 more answers
A regular decagon has a side length of 4 centimeters long if the decagon is divided into 10 congruent triangles each has an appr
ratelena [41]
Area of decagon is given by:
Area=1/2(nsr)
where:
n=number of sides
s=side length
r=height
thus the area will be given by:
Area=1/2(10*4*6.2)
Area=124 cm^2
4 0
3 years ago
Given n//p m&lt;2=50 degrees what is m&lt;7?
Bogdan [553]

Answer: m∠7=130°

Step-by-step explanation:

  If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.

By definition,  the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.

Then, if m∠2=50°, then  m∠3 is:

m∠3=180-50=130°

By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.

Therefore:

m∠3=m∠7

m∠7=130°

3 0
2 years ago
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Ray has 3 boxes of chocolates. Each box has 4 layers of chocolates. Each layer has 4 rows of 4 chocolates each. He distributes a
RSB [31]
I believe it is (3*4*4*4)/16=12
hopefully its right and it helped!
6 0
3 years ago
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