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ANEK [815]
3 years ago
14

When a triangle is inscribed in a semicircle where a diameter of the circle is a side of the​ triangle, the triangle formed is a

lways a right triangle. If an isosceles triangle​ (two equal​ sides) is inscribed in a semicircle with a radius of 9 ​inches, find the length of the two legs of the triangle.
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

Step-by-step explanation:

diameter = 18 inches

each leg = 18/√2 = 9√2 ≅ 12.7 inches

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
7.6x = 64 is approximately 3.05.<br> is this the solution?
lisov135 [29]
7.6x = 64
x = 64/7.6
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So, 3.05 is NOT the solution

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eimsori [14]
Hello! What currency is this question in?
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2 years ago
1. Solve for the x and y intercepts:
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Hope this helps!
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3 years ago
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Gekata [30.6K]

Answer:

yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off

7 0
3 years ago
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