2.44 meters = how many centimeters

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.

Igoryamba

For two shots Pedro has four outcomes:

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

1. 0.3·0.3=0.09;

2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

8 0

3 years ago

Read 2 more answers

Help me please click link to go to question

tangare [24]

Answer:

okay thank you. ummmm yes well it's not loading

6 0

3 years ago

Unit 3 parallel and perpendicular lines Homework 3 proving lines are parallel

IrinaK [193]

Step-by-step explanation:

Since, lines l and m are parallel and a transverse is intersecting these lines.

5). (9x + 2)° = 119° [Alternate intrior angles]

9x = 117 ⇒ x = 13

6). (12x - 8)° + 104° = 180°

12x = 180 - 96

x = ⇒ x = 7

7). (5x + 7) = (8x - 71) [Alternate exterior angles]

8x - 5x = 71 + 7

3x = 78

x = 26

8). (4x - 7) = (7x - 61) [Corresponding angles]

7x - 4x = -7 + 61

3x = 54

x = 18

9). (9x + 25) = (13x - 19) [Corresponding angles]

13x - 9x = 25 + 19

4x = 44

(13x - 19)° + (17y + 5)° = 180°[Linear pair of angles are supplementary]

(13×11) - 19 + 17y + 5 = 180

129 + 17y = 180

17y = 180 - 129

y = 3

10). (3x - 29) + (8y + 17) = 180 [linear pair of angles are supplementary]

3x + 8y = 180 + 12

3x + 8y = 192 -----(1)

(8y + 17) = (6x - 7) [Alternate exterior angles]

6x - 8y = 24

3x - 4y = 12 -----(2)

Equation (1) - equation (2)

(3x + 8y) - (3x - 4y) = 192 - 12

12y = 180

y = 15

From equation (1),

3x + 8(15) = 192

3x + 120 = 192

x = 24

11). (3x + 49)° = (7x - 23)° [Corresponding angles]

7x - 3x = 49 + 23

4x = 72 ⇒ x = 18

(11y - 1)° = (3x)° [Corresponding angles]

11y = 3×18 + 1

11y = 55 ⇒ y = 5

12). (5x - 38)° = (3x - 4)° [Corresponding angles]

5x - 3x = 38 - 4

2x = 34

x = 17

(7y - 20)° + (5x - 38)° + 90° = 180°

[Sum of interior angles of a triangle = 180°]

5x + 7y = 148

5×17 + 7y = 148

85 + 7y = 148

7y = 148 - 85

y =

5 0

3 years ago

A regular decagon has a radius of 14'. Determine the length of the apothem. Then determine the perimeter of the decagon

pav-90 [236]

Answer:

Part 1) The length of the apothem is 13.32'

Part 2) The perimeter of the decagon is 86.5'

Step-by-step explanation:

we know that

A regular decagon has 10 equal sides and 10 equal interior angles

A regular decagon can be divided into 10 congruent isosceles triangle

(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)

The vertex angle of each isosceles triangle is equal to

$\frac{360^o}{10}=36^o$

To find out the side length of the decagon, we can use the law of cosines

so

$c^2=a^2+b^2-2(a)(b)cos(C)$

where

c is the length side of decagon

a and b are the radii

we have

$a=14'\\b=14'\\C=36^o$

substitute the values

$c^2=14^2+14^2-2(14)(14)cos(36^o)$

$c^2=392-(392)cos(36^o)$

$c=8.65'$

To fin out the perimeter of decagon multiply the length side by 10

so

$P=8.65(10)=86.5'$

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle

see the attached figure to better understand the problem

$r^2=a^2+(c/2)^2$

substitute the given values

$14^2=a^2+(8.65/2)^2$

solve for a

$a^2=14^2-(8.65/2)^2$

$a=13.32'$

8 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

shutvik [7]

Answer:

there is no diagram ......

6 0

3 years ago