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dem82 [27]
2 years ago
11

A scientist measured the width of a square flake of gold to be7.3 x 10 -4mm what is the area of the flake

Mathematics
1 answer:
irakobra [83]2 years ago
7 0

The area of square flake of gold is 53.29 \times 10^{-8} \mathrm{mm}

<h3><u>Solution:</u></h3>

Given that width of square flake of gold is 7.3 \times 10^{-4} millimeter

To find : Area of square flake

Since gold flake is in shape of square, we can use area of square formula

<em><u>The formula for area of square is given as:</u></em>

area = s^2

where "s" is the length of one side

\begin{array}{l}{\text { Area of a square flake }=\left(7.3 \times 10^{-4}\right) \times\left(7.3 \times 10^{-4}\right)} \\\\ {\text { Area of a square flake }=53.29 \times 10^{8}}\end{array}

Hence , the calculated area of flake is 53.29 \times 10^{-8} \mathrm{mm}

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15

Step-by-step explanation:

use pathagorean theorem

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2 years ago
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What value of x makes the equation true?
Aleksandr [31]
♥ Answer: x=-6.9

Solve:
You need to <span>Simplify both sides of the equation.
</span>806.265=-116.85x
Now: <span>Flip the equation.
</span>-116.85x=806.265<span>
</span>Lastly <span>Divide both sides by -116.85.
</span>\frac{-116.85x}{-116.85} = \frac{806.265}{-116.85}


Final answer: x=-6.9


6 0
3 years ago
Which statement is true about the factorization of 30x2+40xy+51y2
icang [17]
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?

A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.

we know that

case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right 
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1

therefore

the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>



</span>
8 0
3 years ago
Using a simulator at space​ camp, you practice landing your individual spaceship on landing platforms that have different shapes
Mila [183]

The Area of the platform is 33m²

Step-by-step explanation:

As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m

Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m

Since the platform is five-sided, the figure can be broken down into constituting parts

  1. Parallelogram ║ABCE
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Are of the figure= Area of ║ABCE+ area Δ DCE

Area of ║ABCE= breadth * height

= 6*4 ⇒24m ²

Area Δ DCE= ½*(base)(height)

Putting the value of base is 6m and height as 3m

Area Δ DCE= ½*6*3

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Total area= 24+9= 33m ²

3 0
2 years ago
Prove that the diagonals of a parallelogram bisect each other.<br> The midpoint of AC is
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Answer:

Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Step-by-step explanation:

3 0
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