A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded. A. About 25%
B. About 40%
C. About 60%
D. About 50%

Answers

Answer 1

Answer: If $r$ is the radius of the circle, then the side length of the triangle is $2r\sqrt3$ .

The area of the circle is $\pi r^2$ , while the area of the triangle is $3r^2\sqrt3$ .

So, the probability of selecting a random point in the white space is

$1-(\pi r^2)/(3r^2\sqrt3)=1-(\pi)/(3\sqrt3)\approx0.395\approx40\%$

Answer 2

Answer:

Answer:

about 60%

Step-by-step explanation:

just took the test

Related Questions

Is it possible to form a triangle with side lengths 3, 3 and 4? If so, will it be scalene, isosceles or equilateral?
Yolanda spends 8/23 hours per month playing soccer. Approximately how many hours does she play soccer in a year
Simplify. -15-(-3)+6
What is the pattern of 1.1, 2.2, 3.3, 4.4
What is the axis of symmsymmiof y=2(x+1)^2

What is the volume in cubic feet of the prism, rounded to the nearest cubic foot? Do not use units or commas in your answer.

Answers

Answer:

35.1

Step-by-step explanation:

There's a formula that i've linked as an image

Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.

Or... we can use pythagoras' theorem and get the height of the triangle Height = $3^(2)$ - $1.5^(2)$ = 2.6

Area of triangle = (3 * 2.6) / 2 = 3.9

Volume = 3.9 * 9

Volume of prism = 35.1

Substitution method

X = 4
2x - 3y = -19

Answers

$\left\{\begin{array}{ccc}x=4\n2x-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n2\cdot4-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n8-3y=-19\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-19-8\end{array}\right\n\left\{\begin{array}{ccc}x=4\n-3y=-27&/:(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=4\ny=9\end{array}\right$

2(4)-3y=-19
8-3y=-19
-3y=-27
y=9

Any body know the awnser

Answers

ok so
x<√67<y
assuming x and y are consecutive

x<√67<y
squaer root everybody
x^2<67<y^2
so just find the ones that are closest to 67
8^2=64
9^2=81
64<67<81
8^2<67<9^2

the consecutive integers are 8 and 9

What are the vertex and axis of symmetry of the equation y=-2x^2 8x-18?

Answers

Answer: vertex: ( 2, –10 & axis of symmetry: x = 2.

What is axis of symmetry ?

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.

here, we have,

given that,

y = -2x² + 8x - 18

now,

x = -b/2a => -8/2(-2) => -8/-4 => 2

x = 2

now, we get,

Substitute 2 in for x in y = -2x² + 8x - 18

y = -2(2)² + 8(2) - 18

=> -2(4) + 16 - 18

=> -8 - 2

=> -10

i.e. y = -10

(x, y) = (2, -10)

so, we get,

Vertex: (2, -10)

Axis of Symmetry: x = 2

To learn more on axis of symmetry click:

brainly.com/question/22495480

#SPJ2

Answer:

vertex: ( 2, –10)

axis of symmetry: x = 2

Step-by-step explanation:

y = -2x² + 8x - 18

x = -b/2a => -8/2(-2) => -8/-4 => 2

x = 2

Substitute 2 in for x in y = -2x² + 8x - 18

y = -2(2)² + 8(2) - 18 => -2(4) + 16 - 18 => -8 - 2 => -10

y = -10

(x, y) = (2, -10)

Vertex: (2, -10)

Axis of Symmetry: x = 2

Which represents the equation of the line?

Answers

Answer:

D: y= -2x -1

Step-by-step explanation:

The line crosses the y axis at -1 and using the "rise over run" phrase you can tell that the next point is 2 up and 1 over (2/1 =2) the line is also negative because it moves down from left to right. Therefore, y= -2 -1

Help ;-; A mechanic charges $168 for parts and $35 per hour for labor. Write an expression for the total charge. Evaluate the expression to find the total charge for 3 hours of labor.