Answer
Find out the m∠6 .
To prove
As given
a∥e , m∥n , and m∠2 = 112°.
As m∥n
a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)
Thus
∠ 2 = ∠3 ( Corresponding angle property )
∠3 = 112°
Also
a∥e and m is transversal .
∠ 3 = ∠6 = 112 ° ( Corresponding angle property )
Therefore
∠6 = 112°
The mass of radioactive material remaining after 50 years would be 48.79 kilograms
<h3>How to determine the amount</h3>
It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.
Given the radioactive decay formula as
m(t)=120e−0.018t
Where
t= 50 years
m(t) is the remaining amount
Substitute the value of t
Find the exponential value
m(t) = 48.788399
m(t) = 48.79 kilograms to 2 decimal places
Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms
Learn more about half-life here:
brainly.com/question/26148784
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Given the length of the pencil, the length of the marker is 130.8 millimeters.
<h3>What are percentages?</h3>
Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
<h3>How long is the marker?</h3>
Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
If she buys a boat without a down payment, then the affordable price is 5,700.
Step-by-step explanation:
Her bank charges 5% interest per year.
Let, payment = p,
p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})
p = 5698.47
After round off p = 5700
