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crimeas [40]
3 years ago
10

A square playground has a white line drawn through its diagonal. This creates two triangles whose angle measures are 45°, 45°, a

nd 90°. If the sides of the playground are 55 feet, use trigonometric functions to find the approximate length, x, of the diagonal. Round answer to tenths.
Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0
A²+b²=c²

55²+55²=c²

3025+3025=c²

6050=c²

√6050=√c²

c≈77.8

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How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x
Lena [83]

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Answer:

  the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

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<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

5 0
3 years ago
Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points. Suppose t
alexandr402 [8]

Answer:

89.008

Step-by-step explanation:

z = (x– mean)/ standard deviation

x = z * standard deviation + mean

Now, z value for the top 4% of the exams (which is the same as getting a score below the 96%) has to be found using a z table.

In this case z = 1.751

x = 1.751 * 8 + 75

x = 89.008

6 0
3 years ago
H(t) = -(t – 7)^2 + 4
iVinArrow [24]

Step-by-step explanation:

1. set it equal to 0 so t=5,9

2. this is wriiten in vertex notation so vertex is (7,4)

3 0
3 years ago
Read 2 more answers
Line L is perpendicular to the line with equation x + 2y = 8 and passes through the origin. Determine the equation of line L.
MAXImum [283]
When lines are perpendicular, they slopes are opposite reciprocal. Opposite reciprocal means that the slope is flipped and then changed from negative to positive.

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