The right triangle above with legs 7m and 3 m is inscribed in a circle. Find the circumference of the circle.

Mathematics

1 answer:

Eduardwww [97]2 years ago

4 0

Answer:

23.9 m

Step-by-step explanation:

The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle. Using Pythagorean theorem:

c² = a² + b²

c² = 3² + 7²

c = √58

The circumference of the circle is pi times the diameter.

C = π√58

C ≈ 23.9

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Due very soon so if someone could answer soon-ish it would be very helpful and much appreciated <3<3<3

Nikolay [14]

Answer:

1) x+2y+15=0

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Step-by-step explanation:

7 0

2 years ago

For each expression below, select the letter that corresponds to the equivalent expression given above.

11111nata11111 [884]

Part 1)
(x²+15x+65)+(2x-5)*(3x+8)
(x²+15x+65)+(6x²+16x-15x-40)
(7x²+16x+25)

the answer Part 1) is the letter B
(7x²+16x+25)

Part 2)
(4x+1)*(3x-4)-(5x²-10x-12)
(4x+1)*(3x-4)-(5x²-10x-12)
(12x²-16x+3x-4)-(5x²-10x-12)
(7x²-3x+8)

the answer Part 2) is the letter D
(7x²-3x+8)

Part 3)
(8x²+19x+4)+(3x+2)*(x-5)
(8x²+19x+4)+(3x²-15x+2x-10)
(11x²+6x-6)

the answer part 3) is the letter A
(11x²+6x-6)

Part 4)
(6x+1)*(3x-7)-(7x²-34x-20)
(18x²-42x+3x-7)-(7x²-34x-20)
(11x²-5x+13)

the answer Part 4) is the letter C
(11x²-5x+13)

3 0

3 years ago

What is the Value Of X,

Zina [86]

The value of x in the figure is 9.72

<h3>How to determine the value of x?</h3>

The given shape is a triangle, and the value of x can be calculated using the following laws of cosine

a^2 = b^2 + c^2 - 2bc * cos(a)

So, the equation becomes

x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)

Evaluate the value of cos(44)

x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193

Evaluate the product

x^2 = 296 - 201.404

Evaluate the difference

x^2 = 94.596

Evaluate the exponent

x = 9.72

Hence, the value of x in the figure is 9.72