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sergiy2304 [10]
3 years ago
9

△ABC is inscribed in a circle such that vertices A and B lie on a diameter of the circle. If the length of the diameter of the c

ircle is 13 and the length of chord BC is 5, find length AC.
The length AC is
Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

AC=12

Step-by-step explanation:

If vertices A and B lie on a diameter of the circle means that angle of triangle on the vertice C is 90, si this is right triangle. Now we can use Pitagora’s theorem to find AC.

AB^2=AC^2+BC^2

13^2=AC^2+5^2

169=AC^2+25

AC^2=169-25=144

AC=12

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Read 2 more answers
a triangle has sides measuring 5 inches and 8 inches. if x respresents the length in inches of the third side, which inequality
WITCHER [35]

Answer:

When given 2 sides of a triangle, the third side must be:

Greater than the difference of the other 2 sides AND  

less than the sum of the other 2 sides.

So side "x" must be greater than

(8 -5) and less than (8 +5) or

3 < "x" < 13

Source: http://www.1728.org/trianinq.htm


Step-by-step explanation:


7 0
3 years ago
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Harvey the hamster can run 3 and 1/6 km in 1/4 of an hour. What is his average speed in kilometers per hour?
liubo4ka [24]
<h3>Answer:  12 & 2/3 km per hour</h3>

In decimal form, this is approximately 12.667 km per hour.

As an improper fraction, 12 & 2/3 = 38/3

==================================================

Explanation:

Let's use this formula

a & b/c = (a*c+b)/c

to convert the given mixed number to an improper fraction.

3 & 1/6 = (3*6+1)/6

3 & 1/6 = 19/6

The mixed number 3 & 1/6 is the same as the improper fraction 19/6

The hamster runs 19/6 km in 1/4 of an hour.

We can express that as the ratio

19/6 km : 1/4 hr

Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"

19/6 km : 1/4 hr

4*19/6 km : 4*1/4 hr

76/6 km : 1 hr

38/3 km : 1 hr

Harvey runs 38/3 km in 1 hour

Let's convert that to a mixed number

38/3 leads to a decimal, but 36/3 leads to a whole number

So,

38/3 = (36+2)/3

38/3 = 36/3 + 2/3

38/3 = 12 + 2/3

38/3 = 12 & 2/3

You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.

6 0
3 years ago
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