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LenKa [72]
3 years ago
6

Kevin and Ornella entered a fun run. Their times for completing the course totaled 1 hour 52 minutes. Kevin's time was 4 minutes

less than Ornella's. How many minutes did it take Ornella to complete the course?
Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

58 minutes

Step-by-step explanation:

Kelvin and Ornella completed the course in 1 hour 52 minutes

60 minutes + 52 minutes

= 112 minutes

Kelvin time is 54 minutes

Kelvin time is 4 minutes less than ornella

Hence Ornella time is 58 minutes

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Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.
Gnoma [55]
For the answer to the question above, I'll explain my answer through an equation below.
<span>5+10>x,x<15
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7 0
3 years ago
1
Marianna [84]

Answer:

  B. {16, 19, 20}

Step-by-step explanation:

The <em>triangle inequality</em> requires for any sides a, b, c you must have ...

  a + b > c

  b + c > a

  c + a > b

The net result of those requirements are ...

  • the sum of the two shortest sides must be greater than the longest side
  • the length of the third side lies between the difference and sum of the other two sides

__

If we look at the offered side length choices, we see ...

  A: 8+11 = 19 . . . not > 19; not a triangle

  B: 16+19 = 35 > 20; could be a triangle

  C: 3+4 = 7 . . . not > 8; not a triangle

  D: 5+5 = 10 . . . not > 11; not a triangle

The side lengths {16, 19, 20} could represent the sides of a triangle.

_____

<em>Additional comment</em>

The version of triangle inequality shown above ensures that a triangle will have non-zero area.

The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")

4 0
2 years ago
Need help with math question
mote1985 [20]

Answer:

(-7,4)

Step-by-step explanation:

goal: (y-k)^2=4p(x-h)

y^2-8y=4x+12    Rearranged and added 4x and 12 on both sides

y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)

y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)

(y-4)^2=4x+12+16  (now write the left hand side as a square)

(y-4)^2=4x+28

(y-4)^2=4(x+7)    factored...

vertex is (-7,4)

4 0
3 years ago
Read 2 more answers
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