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Sedbober [7]
3 years ago
14

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of tria

ngle LPQ is 16 cm work out area of LQM

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer: 48cm^2

Step-by-step explanation:

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of triangle LPQ is 16 cm work out area of LQM

Kindly see attached picture for detailed explanation

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Miranda has a bag of marbles with 5 blue marbles, 1 white marbles, and 1 red marbles. Find the following probabilities of Mirand
kvasek [131]

Answer:

(a)\frac{5}{7},\frac{1}{6} (b)\frac{1}{7},\frac{1}{6} (c)\frac{5}{7},\frac{2}{3},\frac{3}{5}

Step-by-step explanation:

GIVEN: Miranda has a bag of marbles with 5 blue marbles, 1 white marbles, and

TO FIND: a) A Blue, then a red Preview

,b)A red, then a white Preview

,c) A Blue, then a Blue, then a Blue.

SOLUTION:

Total marbles in bag =7

(a)

Probability of drawing blue marble =\frac{\text{total blue marble}}{\text{total marbles}}

                                                          =\frac{5}{7}

As marble is not returned to bag,

Probability of drawing red marble  =\frac{\text{total red marble}}{\text{total marbles}}

                                                         =\frac{1}{6}

(b)

Probability of drawing red marble =\frac{\text{total red marble}}{\text{total marbles}}

                                                          =\frac{1}{7}

As marble is not returned to bag,

Probability of drawing white marble  =\frac{\text{total white marble}}{\text{total marbles}}

                                                         =\frac{1}{6}

(c)

Probability of drawing blue marble =\frac{\text{total blue marble}}{\text{total marbles}}

                                                          =\frac{5}{7}

As marble is not returned to bag,

Probability of drawing second blue marble  =\frac{\text{total blue marble}}{\text{total marbles}}

                                                                         =\frac{4}{6}=\frac{2}{3}

As marble is not returned to the bag

Probability of drawing third blue marble   =\frac{\text{total blue marble}}{\text{total marbles}}

                                                                    =\frac{3}{5}

8 0
2 years ago
consider a school which has 150 girls and 120 boys find the following ratios : girls : boys , girls : students
Oksi-84 [34.3K]


150/120 (girls to boys)

150/270 (girls to students)

those would be your ratios...hope you find it helpful :)

6 0
3 years ago
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Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …
kogti [31]

Answer:

  • f(1) = 4
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Step-by-step explanation:

Given the sequence:

  • 4, 8, 12, …

The first term is 4 and common difference is 4

<u>Recursive formula:</u>

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7 0
2 years ago
Drag each equation to show if it could be a correct first step to solving the equation 3 (x + 8) =42
Evgen [1.6K]

Answer:

x=-62/13

Step-by-step explanation:

13x+104=42

13x=42-104

13x=-62

8 0
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Romashka-Z-Leto [24]

Answer:the number of adult tickets that the movie theatre sold is 63.

the number of child's tickets that the movie theatre sold is 61

Step-by-step explanation:

Let x represent the number of adult tickets that the movie theatre sold.

Let y represent the number of child's tickets that the movie theatre sold.

The total number of tickets sold is 124. It means that

x + y = 124

Movie theater charges $11.00 for an adult ticket and $8.00 for a child's ticket. The total cost of the tickets sold is 1181. It means that

11x + 8y = 1181 - - - - - - - - - - - -1

Substituting x = 124 - y into equation 1, it becomes

11(124 - y) + 8y = 1181

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y = - 183/ - 3

y = 61

x = 124 - y = 124 - 61

x = 63

6 0
2 years ago
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