Measurement and Trig
Andrea is constructing a pen for her dog. The perimeter of the pen is 70 ft. What is the perimeter in yards and feet?
23 yd. 1 ft.
Determine both the GCF and LCM of 180, 240, 340.
GCF: 20
LCM: 12,240
Page 246 #11. b)
Is this a function? Explain why or why not.
{(2, 4), (-2, 4), (3, 9), (-3, 9)}
Yes, since every input is associated with only one output.
In other words, it's okay that the outputs are repeated. As long as no inputs are repeated, it's a function.
What is the slope of the line that passes through:
B(-6, 8) and C(-1, -2)
-2
A hemisphere has a radius 20 in. A sphere has a radius 17 in. Which has the greater volume?
Sphere
Is 1936 a perfect square, perfect cube, both, or neither? If it's a perfect number, determine the root. Do NOT use a calculator.
Perfect Square. Square Root is 44.
Page 246 # 12. b)
square root 126
The function P(n) = 5n - 300 describes the profit, P dollars, for a school dance when n students attend.
Determine the value of n when P(n) = 700. What do these values represent?
n = 200
When 200 people attend the dance, the profit is $700.
A line passes through (-2, 3) and is perpendicular to the line y = 2x +1. Write an equation for this line in general form.
x + 2y - 4 =0
Determine the surface area of a cone with diameter 7 ft. and height 15 ft.
208 ft2
Factor out the GCF:
6a2b3c - 15a2b2c2
3a2b2c(2b - 5c)
Page 247 # 17. b)
cube root (-50)5 or (cube root (-50))5
(1, 5)
(5, 5)
(9, 5)
(13, 5)
Does this data represent a linear function? Why or why not?
Yes, since the change in x is constant (+4 each time) and the change in y is constant (+0 each time).
Write an equation in slope-intercept form for the line that passes through (-3, -7) and (1, 5).
y = 3x + 2
A 12 ft. ladder leans against a wall. The base of the ladder is 4.5 ft. from the wall. To the nearest degree, what is the measure of the angle between the ladder and the wall?
22 degrees
Factor fully:
4k2-7k+3
(k - 1)(4k - 3)
Page 248 #28. d)
I'm not typing all that
Page 328 #16
What is the range in set notation?
{d | 0 <= d <= 6000, d is a real number}
(or y)
Solve the system algebraically:
2x - 4y = 13
4x - 5y = 8
x = -11/2
y = -6
A basketball court is rectangular with diagonal length 106 ft. The angle between a diagonal and a longer side is 28 degrees. Determine the dimensions of the basketball court to the nearest foot.
50 ft. by 94 ft.
Expand and simplify.
(7 + r)(6 - r)
42 + r - r2
Page 248 #29. b)
x2/y
Page 327 #9. a)
What is the domain?
{x | 13, 14, 15, 16, 17}
Solve the system algebraically:
7x + y = 10
3x - 2y = -3
x = 1
y = 3