Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 8

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Copy and complete the statement with <, >, or =.
3
25
30.
31. 0.5
32.
81
8
0.25
2
4
1
33.
SAILBOAT
The area of a sail is 40
square feet. The base
2
and the height of the sail are equal. What is the height of
the sail (in feet)?
34.
REASONING
Is the product of two perfect squares always
h
h
h
h
a perfect square? Explain your reasoning.
35.
ENERGY
The kinetic energy K (in joules) of a falling apple
2
v
is represented by K =
b
b
b
b
b
, where v is the speed of the
2
apple (in meters per second). How fast is the apple
traveling when the kinetic energy is 32 joules?
2
Area
4 cm
36.
PRECISION
The areas of the two
watch faces have a ratio of 16 : 25.
a. What is the ratio of the radius of
the smaller watch face to the radius
of the larger watch face?
b. What is the radius of the larger
watch face?
37.
WINDOW
The cost C (in dollars) of making a square window with a side length
2
n
of n inches is represented by C =
+ 175. A window costs $355. What is
5
the length (in feet) of the window?
38.
The area of the triangle is represented by the
———
formula A =
s(s − 21)(s − 17)(s − 10) , where s is equal
17 cm
10 cm
to half the perimeter. What is the height of the triangle?
21 cm
Write in slope-intercept form an equation of the line that passes through the
given points.
(Section 4.7)
40. (− 1, 7), (3, − 1)
41. (− 5, − 2), (5, 4)
39. (2, 4), (5, 13)
42.
MULTIPLE CHOICE
What is the value of x?
(Section 3.2)
84
41
44
A
B
88
134
C
D
(x
8)
x
Section 7.1
Finding Square Roots
293

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