Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Chapter 10.1, Problem 1PE
(a)
To determine
To fill: The correct blank provided in the statement, ‘if b2=a, then ___ is a square root of ___’.
(b)
To determine
To fill: The correct blank provided in the statement, ‘given a>0, the symbol a denotes the positive or ____ square root of a’.
(c)
To determine
To fill: The correct blank provided in the statement, ‘b is an nth root of a if ___=___’.
(d)
To determine
To fill: The correct blank provided in the statement, ‘given the symbol an, the value n is called the ___ and a is called the ___’.
(e)
To determine
To fill: The correct blank provided in the statement, ‘the symbol a3 denotes the ___ root of a’.
(f)
To determine
Whether the expression −4 is/is not a real number. Whether the expression −4 is/is not a real number.
(g)
To determine
Whether the expression ann=|a| is odd/even. Whether the expression ann=a is odd/even.
(h)
To determine
To fill: The correct blank provided in the statement, ‘given a right triangle with legs a and b and hypotenuse c, the ____ theorem is stated as a2+b2= ___’.
(i)
To determine
To fill: The correct blank provided in the statement, ‘in interval notation, the domain of f(x)=x is ___, whereas the domain of g(x)=x3 is ___ ’.
(j)
To determine
The values x=−5,x=−4,x=−3,x=−2,x=−1,x=0 are not in the domain of h(x)=x+3.
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
Answer:
f(t)
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
10
9
8
7
6
5
4
3
2
1
0
t
1
2
3
4
5
6
7
8
9 10
11
12
13 14
15
-1
-5.
-6
-7
-8
-9
-10-
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Interpreting Graphs of Quadratic Equations (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=BHgewRcuoRM;License: Standard YouTube License, CC-BY
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