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3 years ago

More lesson 10 help me

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

#4 is 20
#5 is false
#6 3.Reflexive Property
4.SSS Congruence Postulate

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6 2/9 - 5 - 8/9 = ?

S_A_V [24]

Answer: 3/9

Explanation:

6 2/9 - 5 - 8/9
= 1 2/9 - 8/9
= 11/9 - 8/9
= 3/9

3 0

3 years ago

Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B b

max2010maxim [7]

Answer:

A & B are independent events. A & C, B & C are not independent events.

Step-by-step explanation:

Independent Events are the events, whose occurrences are completely unrelated to each other.

Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.

Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.

4 0

3 years ago

Extended Problems, Extraneous Solutions

diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

$(x + 2 = \sqrt{3x + 10}$

Square both sides

$(x + 2) {}^{2} = 3x + 10$

Remeber perfect square Rule

$(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2}$

So now we got

$x {}^{2} + 4x + 4 = 3x + 10$

${x}^{2} + x + 4 = 10$

${x}^{2} + x - 6 = 0$

Factor into binomial.

$(x + 3)(x - 2) = 0$

So our solution is 3 or 2. However, let's check our work.

$- 3 + 2 = \sqrt{3( - 3) + 10}$

$- 1 = \sqrt{1}$

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

 $2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4$ 

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

5 0

2 years ago

40 Points! PLS HELP

const2013 [10]

The area of the square is 9 in^2

The side of a square is the square root of the area.

Side of square = √9 = 3 inches.

The side of the square is the diameter of the inscribed circle.

Circumference of a circle is PI x diameter.

Circumference of inscribed circle = 3.14 x 3 = 9.42 inches

The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426

The circumference = 3.14 x 3√2 = 13.321

Find the ratio between the two circles:

Circumscribed / inscribed =

13.321 / 9.42 = 1.41

5 0

4 years ago

The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company.

pychu [463]

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

5 0

3 years ago