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2 years ago

Iron-59 has a half-life of 44.5 days. How much of a 3.00 mg sample will be left after 222.5 days?

Mathematics

1 answer:

rusak2 [61]2 years ago

5 0

Answer: D. About 0.09 milligrams

Step-by-step explanation:

I took the quiz and got it right!

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

2 years ago

Simplify 13 to the second power pretty please :3

just olya [345]

13 to the second power is 169.

Hope this helps!

6 0

2 years ago

I NEED HELP WITH THIS PLEASE

11Alexandr11 [23.1K]

Answer:

Perimeter = Side1 + Side2 + Side3

4x + 3y = 5x - 3y + x + 4y + Side3

4x + 3y = 6x + y + Side3

-2x + 2y = y + Side3

Step-by-step explanation:

I WISH IT COULD HELP

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3 years ago

Find the equation of the line with the given properties: slope of 2, contains the point ( 4, -3).

Minchanka [31]

The answer is y=2(x-4)-3

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3 years ago

How does a perpendicular bisector justify sss triangle congruence theorem?

Semmy [17]

Intersects a given segment at a 90 degree angle,and passes through the given segment's midpoint.

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2 years ago