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trapecia [35]
3 years ago
15

Please help a friend

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

C.

Step-by-step explanation:

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A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:
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We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(30^{\circ})=\frac{AC}{AB}

\text{sin}(30^{\circ})=\frac{18}{AB}

AB=\frac{18}{\text{sin}(30^{\circ})}

AB=\frac{18}{0.5}

AB=36

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is \frac{36}{2}=18.

Therefore, the radius of given circle would be 18 cm.

8 0
3 years ago
Can someone help me please?
Genrish500 [490]

Answer:

56

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

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3 years ago
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Answer:

Independent: g

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The cost of the gas depends on the amount he pumps

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2 years ago
The sum of three consecutive even integer is 42. What is the value of the second largest integer
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