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2 years ago

Determine the area of the rectangle at the bottom of the rectangular prism(height 15 cm,length 5 cm ,width 2 cm

Mathematics

1 answer:

marin [14]2 years ago

4 0

the answer is 10 cm

Step-by-step explanation:

area= L×H

5×2

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A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab

ahrayia [7]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that $0 \le x \le 8 \:and\: $0 \le y \le 4$.$

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: $x + y \le 4$ ) are:

$(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)$

n(A)=15

Therefore:

$P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}$

5 0

3 years ago

Find the length of chord QS 1)5 2)33 3)21 4)32

Harrizon [31]

Answer:

Length of Chord QS = 33

Step-by-step explanation:

Length of Chord QS:

QW X WS = PW = WR

12(4x + 1) = 14(3x + 3)

48x + 12 = 42x + 42

48x - 42x = 42 - 12

6x = 30

x = $\frac{30}{6}$ = 5

∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33

The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

8 0

3 years ago

Please help! Thanks!

alisha [4.7K]

Answer:

2,9

Step-by-step explanation:

6 0

2 years ago

12 - (-7) I don’t know why but this is making my head spin because it’s not 5

adell [148]

Answer:

19 

Step-by-step explanation:

=> 12 - (-7)

=> 12 + 7

= 19 

3 0

2 years ago

Read 2 more answers

There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?

kogti [31]

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

Please give brainliest thanks!

5 0

3 years ago

Determine the area of the rectangle at the bottom of the rectangular prism(height 15 cm,length 5 cm ,width 2 cm​

Determine the area of the rectangle at the bottom of the rectangular prism(height 15 cm,length 5 cm ,width 2 cm