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Furkat [3]
3 years ago
9

A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from tangents to the monument and

make an angle of 47 what is the measure of the arc of the monument that her lines of sight intersect?
A) 23. 5


B) 94


C) 266


D) 133
Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

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An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a
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Answer:

The value of the test statistic z = -0.6606

Step-by-step explanation:

From the question we are told that

      The high dropout rate is \mu  = 6.1%  = 0.061

      The  sample size is  n = 1000

       The  number of dropouts x = 56

       The probability of having a dropout in 1000 people  \= x  = \frac{56}{1000}  =  0.056

Now setting up Test Hypothesis

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 Alternative  H_a : p < 0.061        

The Test statistics is mathematically represented as

                 z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }

substituting values

               z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }

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6 0
3 years ago
Find the area of the figure.<br><br> A) 114 cm2 <br> B) 350 cm2 <br> C) 418 cm2 <br> D) 447 cm2
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Square has 4 equal sides so it would be the same for all the corresponding sides.

area of square = s*s

                        = 19*19

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area of triangle = \frac{hb}{2}

                         = 19*6

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5 0
3 years ago
Read 2 more answers
I’m confused on this one
eduard

The question is asking you to find the measure of YZ's arc.

The arc of a circle is found by finding the central angle. In this case, that's angle YCZ. Remember that a circle's total degrees is 360. Since the angle that you are trying to find is 16% of the circle, you need to find 16% of 360.

360*0.16 = 57.6

The measure of arc YZ is 57.6 degrees.

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