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3 years ago

5

what is the length of a hypotenuse triangle with two 45 degree angles, one 90 degree angle, and two side lengths of 3 times the

square root of 2?

1 answer:

nordsb [41]3 years ago

4 0

Answer:

4.24

Step-by-step explanation:

remember a² + b² = c²

(3*(sqrt(2))² + (3*(sqrt(2))² = 18

this would be c²

square root of this is c = 4.2426...

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How much would $300 invested at 4% interest compounded monthly be

artcher [175]

Answer:$412.9

Explanation:

We are given that

P=$300

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Time,t=8 years

1 year=12 month

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Substitute the values in the above formula

Then, we get

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Step-by-step explanation:

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3 years ago

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3 years ago

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

-BARSIC- [3]

Answer:

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Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

$A(t) = A(0)e^{-kt}$

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k-value of 0.1392.

This means that:

$A(t) = A(0)e^{-0.1392t}$

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This is t for which $A(t) = 0.5A(0)$ . So

$A(t) = A(0)e^{-0.1392t}$

$0.5A(0) = A(0)e^{-0.1392t}$

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$\ln{e^{-0.1392t}} = \ln{0.5}$

$-0.1392t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1392}$

$t = 4.98$

The substance half-life is of 4.98 days.

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2 years ago

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