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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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Answer:

The answer is D. Hope this helps!

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Answer:

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Step-by-step explanation:

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Evgesh-ka [11]
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Why is the value of q?
Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

                                 = 10 + 4

                                 = 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{14}{q} =\frac{q}{4}

Do cross multiplication.

$\Rightarrow14\times 4 =q\times q

$\Rightarrow 56 =q^2

Switch the sides.

$\Rightarrow q^2 =56

Taking square root on both sides.

\Rightarrow q =2 \sqrt{14}

The value of q is 2 \sqrt{14}.

8 0
3 years ago
* 4. A circle is divided into ten equal sectors.
Fiesta28 [93]

Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

=  {360}^{0}  \div 10

=  {36}^{0}

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

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= 31.42 \: in

7 0
2 years ago
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