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Leokris [45]
4 years ago
7

Answer 6-9 for 15 points.

Mathematics
2 answers:
Mars2501 [29]4 years ago
7 0

Answer:

6. x=36

7. x=-5

8. x=4

9. x=60

Step-by-step explanation:

6. The quotient of a number and -4 is -9

"The quotient of a number and -4" can be translated to \frac{x}{-4}

"Is -9" can be translated to =-9

This means that the problem can be written as -\frac{x}{4} =-9

To solve for x, we need to multiply each side by -4.

x=36

7. Twice a number is -10

"Twice a number" can be translated to 2x

"Is -10" can be translated to =-10

This means that our equation is 2x=-10

To solve for x, we need to divide each side by 2

x=-5

8. Three times a number is 12

"Three times a number" can be translated to 3x

"Is 12" can be translated to =12

This means that our equation is 3x=12

To solve for x, we need to divide each side by 3

x=4

9. Cade has a football trading card collection. He decided to share his collection with 5 of his friends. If each friend received 12 cards, how many cards did Cade have to share with his friends?

"Share his collection with 5 of his friends" can be translated to just 5

"If each friend received 12 cards" can be translated to *12

"How many cards did Cade have to share with his friends" can be translated to =x

This means that our equation is 5*12=x

To solve, we just need to multiply the terms.

x=60

Paul [167]4 years ago
5 0

Step-by-step explanation:

1) a÷4=-9

4×-9=-36

2) -10÷2=-5

3) 12÷3=4

4)5×12=60

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3 years ago
Example 2
PIT_PIT [208]

Answer: (a) 314.2cm², (b) 157.1cm², (c) 78.55cm² (e) 6.77

Step-by-step explanation: (a)  Area of the circle with radius of 10 cm = πr²

                                                                          = 3.142 × 10 × 10

                                                                          = 3.142 × 100

                                                                          = 314.2cm²

The formula                                                       = πr²

(b)  Area of the half of a circle known as semicircle

                                                                         = πr²/2

                                                                         = 3.142 ×10 × 10/2

                                                                         = 3.142 × 50

                                                                         = 157.1cm²

The formula                                                      = πr²/2

(c)  A quarter of a circle is called quadrant

                                                            = πr²/4

                                                            = 3.142 × 10 × 10/4

                                                            = 314.2/4

                                                            = 78.55cm²

The formula is written thus = πr²/4, which implies that the circle is divided into 4 unit

(d) The conjecture about how to determine the area of the sector is

Formula of a sector = ∅/360(πr²)

<u>Information</u>

The arc  cant be 60°, therefore information incomplete.

(e) Area of the sector with the angle AOB of 60° = 24.

To find the radius of the angle, make v the subject of the formula from the formula.

Sector area = πr²∅/360°

equate formula to 24.

Therefore πr²∅/360° = 24

Multiply through by360° to make it a linear expression

It now becomes πr²∅ =24× 360°

                                                     r² = 24  x 360/π × ∅°

                                                     r² = 24 × 360° /3.142 × 60°

                                                     r² = 3,640/188.52

                                                     r² = 45.8

To find r , we take the square root of both side by applying laws of indicies

                                    Therefore r = √45 .8

                                                      r = 6.77

(f)   General formula = ∅°/360° × (πr²)

angle substended at centre by the arc = x°

assuming the radius of the circle = ycm, Therefore,  area of the sector = { ∅°/360° × πy² }

                                                     

                                                   

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3 years ago
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Do you mean the following:

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Or z = \frac{x-10}{6}

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(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

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(d) P(X < 20),

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(e) P(X > 16).

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= 0.2524

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3 years ago
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Tju [1.3M]
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