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galben [10]
2 years ago
15

Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

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Answer:

What is the sample variance of bottle weight 2.33

Step-by-step explanation:

First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.

Mean = (4+2+5+4+5+2+6) / 7

          = 28 / 7

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Sample Variance = \frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}

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3 years ago
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Step-by-step explanation:

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2 years ago
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2 years ago
Find the zeros of the polynomial function: <br> f(x) = 9x^3 - 27x^2 - 4x + 12.
hichkok12 [17]

Answer:

  {-2/3, 2/3, 3}

Step-by-step explanation:

The equation can be factored by grouping.

  f(x) = (9x^3 -27x^2) +(-4x +12)

  f(x) = 9x^2(x -3) -4(x -3)

  f(x) = (9x^2 -4)(x -3)

We recognize the first factor as the difference of squares, so know it can be further factored to give ...

  f(x) = (3x -2)(3x +2)(x -3)

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3 years ago
What is the radius of a circle that has a circumference of 3.14 meters?
Anni [7]

Answer:

0.5

Step-by-step explanation:

Circumference of a circle = 2πr.

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or, r = 3.14/6.28.

or, r = 0.5.

6 0
3 years ago
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