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egoroff_w [7]
4 years ago
15

After studying the diagram shown, Michael makes the following conclusions:

Mathematics
1 answer:
inn [45]4 years ago
3 0

Answer:

Therefore, Michael concludes option C)

C)(DA)^{2}=(DG)^{2}+(AG)^{2}

Step-by-step explanation:

Given:

1. DG = 3 and the area of square DEFG is 9.

2. AG = 4 and the area of square GHIA is 16.

3. DA = 5 and the area of square ABCD is 25.

So we have,

(DG)^{2}=3^{2}=9\\ \\(AG)^{2}=4^{2}=16\\\\(DA)^{2}=5^{2}=25\\

Now Add DG² and AG² we get

(DG)^{2}+(AG)^{2}=9+16=25=(DA)^{2}

Which is also called as  Pythagoras theorem i.e

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Therefore, Michael concludes option C)

C)(DA)^{2}=(DG)^{2}+(AG)^{2}

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The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
Dovator [93]
PART A:

Scientific notation is given in the form of A*10^n
Where A is a value in unit and n is an integer

<span>0.000025 is not a unit number [the number before the decimal point is of zero value]

0.000025 = 2.5 </span>÷ 100,000

100,000 can be written as 10⁵

0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵

0.000025 = 2.5 × 10⁻⁵

-------------------------------------------------------------------------------------------------------------

PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]  
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
--------------------------------------------------------------------------------------------------------------

PART C

Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer

1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------

PART D

1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵

Answer: 3 × 10⁻⁵ meter

-------------------------------------------------------------------------------------------------------------

PART E

Laws of exponents that are used in scientific notation is 

x^m*x^n=x^{m+n}
\frac{x^m}{x^n}=x^{m-n}





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3 years ago
What's a unit rate ? need to know in a good explanation
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When rates expressed as a quantaty of 1, such as 2 feet per second or 5 miles per hour
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3 years ago
A student is trying to solve the system of two equations given below:
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Answer:

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(y + z = 6) × -5

6 0
3 years ago
HELP I AM TIMED!!!!!!!!!!!!
ExtremeBDS [4]
Answer:

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Explanation:

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5 0
3 years ago
Proportional relationships, please answer all of the parts! Thank you!
Natalka [10]

Answer:

a. No (see below)

b. (see below)

c. Johnny

d. Johnny = $12.50 / hour      Doug = $9.16... / hour

e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)

Johnny: already on the graph

Step-by-step explanation:

a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.

b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:

                            Doug

       Time (hr)                      Earnings ($)

          4                                  $36.66...

          5                                  $45.8333...

          6                                  $55

          7                                  $64.4666....

          8                                  $73.333...

To work out how much Doug would get for working 4 hours:

4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)

To work out how much Doug would get for working 5 hours:

5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)

To work out how much Doug would get for working 7 hours (we already got 6 hours):

7/6 x $55 = $64.4666...

To work out how much Doug would get for working 8 hours:

8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)

c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.

4 hours: D = $36.67 vs J = $50

5 hours: D = $45.83 VS J = $60

etc...

d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour

Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour

e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).

The unit rate is already on the graph for Johnny.

HOPE THIS HELPED :)

P.S. Mate cld you please give me Brainliest? That table took so much dam work

7 0
4 years ago
Read 2 more answers
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