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Lina20 [59]
3 years ago
11

A circle with radius of 3cm sits inside a circle with radius of 11cm

Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

Circular shapes - They are those planner shapes that represent the locus of all the points that has a constant distance from a fixed point on the plane. This constant distance is termed as the radius of the circle and the fixed point is known as the center of the circle.

The center of the circle is enclosed by all the points on its periphery.

The circumference of the circle is the total length of its periphery around the center.

Concentric circles are two circles that have the same center

Step-by-step explanation:

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According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that
WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

5 0
3 years ago
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
vivado [14]

Answer:

hello there,

the answer for this equation is:

The value of Start Fraction 6 Over x End Fraction + 2x2, when x = 3 is 20.

Step-by-step explanation:

:\frac{6}{x} + 2x^{2} \\ \\\\ \frac{6}{3} + 2(3)^{2}\\\\\\2+2*9 =\\\\\\\\2+18=20

5 0
2 years ago
Read 2 more answers
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
2 years ago
Sketch the net of the following figure on a sheet of paper and describe in words what is would look like.
tatiyna
The net would look like a square surrounded with four triangles, one on each side.

3 0
3 years ago
3644-878 x 4 = a<br><br> a+54-21=b<br><br> a = <br> b =
Dovator [93]

the answer is supposed to be 132 at the most of a

for b it is 165

8 0
2 years ago
Read 2 more answers
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