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madam [21]
3 years ago
6

Suppose we lined up all the people in the world (about 6.7 billion people). Assume that each person occupied 12 inches of the li

ne. How many times around Earth would they reach? (Earth has a circumference of about 25,000 miles.) Round your answer to one decimal place.
______ times around the world
Mathematics
1 answer:
satela [25.4K]3 years ago
6 0

Answer:

50.757575756‬

Step-by-step explanation:

I put it in calculator and transformed it.

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Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
stealth61 [152]

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

  • x-coordinate of the point does not change, but
  • y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

8 0
3 years ago
Find all real numbers on the interval [0.2 t) that satisfy the equation. Use radian measure.
sergejj [24]

Answer:

  x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}

Step-by-step explanation:

The equation can be put into standard form by adding 1:

  2cos²(x) +3cos(x) +1 = 0

  (2cos(x) +1)(cos(x) +1) = 0

Values of cos(x) that make this true* are ...

  cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3

  cos(x) = -1 . . . . . . . . . . . true for x=π

__

A graphing calculator can be helpful here, too.

_____

* from your knowledge of the short table of trig functions and their signs in different quadrants

3 0
3 years ago
Solve: (w)(3w+5)=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).
sp2606 [1]

Answer:

-\frac{5}{3}

Step-by-step explanation:

Given expression:

                 (w)(3w + 5) = 0

  Expand the parentheses;

                   3w² + 5w  = 0

                    3w²  = -5w

Divide both sides by w;

                    3w  = - 5

                       w = -\frac{5}{3}

7 0
3 years ago
Ram's office is 20 km away from his home. He usually travels by car daily at an average speed of 60 km per hour. On a particular
Travka [436]
Hello aysha123994 i am sure that it could be 17. if i am wrong forgive me
8 0
3 years ago
A meteorologist reported that in the month of April there were 3 inches more rainfall than normal. Write an integer to represent
BartSMP [9]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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