Hypatia has read 13 chapters of a 22 chapter book. What percent of the chapters had she read ?
2 answers:
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Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.
The distance formula
Using the above formula we get,
The length of opposing sides are equal.
Using the Pythagoras theorem, the length of diagonal WY and XZ are
Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is
Where l is length and w is width.
The area of given polynomial is
Therefore the area of the polynomial is 35 square unit.
Given :
Price of cereal without off, C = $2.88 .
Percentage off, P = 20% .
To Find :
Price after applying 20% off.
Solution :
Final price = Initial price - 20 % of initial price
Therefore, final price after sale is $2.304 .
Hence, this is the required solution.
Answer:
A)196J
B)-208J
C)3467J
Step-by-step explanation:
We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.
So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m
a)
Using Conservations of energy
Potential energy at the top = Kinetic energy at the point before touching the surface
Kinetic energy = mgh=
b)
Work done by the mat do to stop the fall of the cylinder =
C)
Work done=
F=3467J