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Anastaziya [24]
3 years ago
11

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:

<em>Probability point lies on shaded region: ( About ) 0.294</em>

Step-by-step explanation:

<em>~ 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 ) ~</em>

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

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

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
6 0
3 years ago
Read 2 more answers
Frank's age is one fourth of Danas age what equation can represent this
Katen [24]
Take x as Danas age, 
equation,

x×1/4= x

hope this helps....

7 0
3 years ago
Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident
Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Insert the given slope:

y=-5x+b

To find the y-intercept, take the given coordinate point and insert:

(-9_{x},-5_{y})\\\\-5=-5(-9)+b

Solve for b:

Simplify multiplication:

-5=45+b

Subtract 45 from both sides:

-50=b\\\\b=-50

The y-intercept is -50. Insert:

y=-5x-50

m=-5\\b=-50

Use the slope formula for when you have two points:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

(2_{x1},4_{y1})\\(10_{x2},2_{y2})

\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}

The slope is -\frac{1}{4} . Insert:

y=-\frac{1}{4}x+b

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b

Solve for b:

Simplify multiplication:

-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}

Re-insert:

4=-\frac{1}{2} +b

Subtract b from both sides:

4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}

Subtract 4 from both sides:

4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4

Simplify subtraction:

-\frac{1}{2}-4=-\frac{1}{2}  -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}

Re-insert:

-b=-\frac{9}{2}

Divide both sides by -1 to make the variable positive (can be seen as -1b):

b=\frac{9}{2}

The y-intercept is \frac{9}{2} .

Write the equation:

y=-\frac{1}{4}x+\frac{9}{2}

:Done

7 0
3 years ago
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