Find the Circumference of the circle. Leave your answer in terms of TT

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

C = 18π m

Step-by-step explanation:

The circumference (C) of the circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 9 = 18π

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Round to nearest thousandth!! (3 decimal places) photo attached

aliina [53]

Answer:

Probability point lies on shaded region: ( About ) 0.294

Step-by-step explanation:

~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region ) are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by: ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294

8 0

3 years ago

Which of the expressions are equivalent to the one below? Check all that apply. 13. (11 + 5)

kondor19780726 [428]

Answer: 11+5=16

Step-by-step explanation: 14, 15, 16, 17 and 18

3 0

3 years ago

Plz answer will be marked BRAINLIEST

Shkiper50 [21]

(0,0)
(1,8)
(2,16)
branliest please do i can get to the next level thank u