Ravi drove 871 miles in 13 hours.
2 answers:
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Answer:
length of segment YZ is 8 cm
Step-by-step explanation:
given data
AB = 16 cm
DA = 3 cm
AB and DA form interior angle = 45-degre
WX ≠ YZ
WX = 16 cm
to find out
length of segment YZ
solution
area of △ABD is the same as the area of △BCD
and
area of △ABD is express as
area of △ABD = AB × AD × sin(45) ÷ 2 ............1
put here value
area of △ABD = 16 × 3√2 × sin(45) ÷ 2
area of △ABD = 24
and
area of the parallelogram is
area of the parallelogram = 24 × 2
area of the parallelogram = 48
so
now we will consider here YZ = x
and Since ZY XW is isosceles trapezoid
so here we can say that
WM = ZM = (16 - x) ÷ 2 .......................2
so area of trapezoid will be
area of trapezoid = .......................3
area of trapezoid =
48 =
solve it we get
x = 8
so length of segment YZ is 8 cm
Answer:
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.
Step-by-step explanation:
<u><em>BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH</em></u>
We know that an exponential increase in Math can be termed as the rapid increase of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1+b)ˣ
here
y represents the final amount
a represents the original amount
b represents the growth factor
x represents the time that has passed
Now, let is us map our problem because it indicates the same concept.
<em><u>SOLVING THE QUESTION</u></em>
Given the function
Here
A(t) represents the final amount
2000 represents the original amount
0.0412 represents the growth rate
t represents the number of years
Thus,
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.