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diamong [38]
3 years ago
7

Calculate the length of a triangle if another length is 15 feet and the hypotenuse is 39 feet.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0
We have to use Pythagorean theorem that says : 

a^2+b^2=c^2\\\Rightarrow a^2+15^2=39^2\\a^2=39^2-15^2\\a=\sqrt{1296}\\a=36

The missing length of the triangle is : 36 feet
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The discount is 30%

Step-by-step explanation:

Given

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Discount = $18

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A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
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Answer: Exponential decay model:

y

=

x

(

1

−

r

)

t

, half life of tablet is about

2

hours and after

t

=

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42.875

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Step-by-step explanation: Initial drug

x

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125

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Exponential model:

y

=

x

(

1

−

r

)

t

=

125

(

1

−

0.3

)

t

=

125

⋅

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t

Half life:

y

=

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2

=

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∴

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=

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⋅

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t

or

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t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

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(

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)

∴

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=

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(

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log

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≈

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(

2

d

p

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=

3

hours , remaining drug on patient's system is

y

=

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⋅

0.7

t

=

125

⋅

0.7

3

=

42.875

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