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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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7m + 3mn when m = 8 and n = 14
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Answer:

392

Step-by-step explanation:

m = 8 and n = 14

Substituting the values of m and n in the question, we get :

7m + 3mn

=( 7 x 8) +(3 x 8 x 14)

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In Exercises 1-16, solve the inequality. Graph the solution<br> 1. 3y ≤ -9
murzikaleks [220]

By solving the inequality we get y\leq -3

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

3y\leq -9

Dividing above equation by 3 we get,

\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3

Graph of y\leq -3 is

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2 years ago
The area of the isosceles triangle is 80 square centimeters. Use the equation 1/2(8h) =80 to find the height of the triangle.
Dmitry [639]

Answer:

20cm

Step-by-step explanation:

Given data

Area=  80cm^2

we know that the expression for the area of a triangle is

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from the given expression 1/2(8h) =80 the base is 8cm

let us substitute to find the height h

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3 years ago
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