Angles and Triangles
Angles C and D are complementary. What is x is angle C = 3x + 4 and angle D = 14
x = 46
A triangle has a base length of 12 in and a height of 6 in. What is the area of the triangle?
36 in2
What is the volume of a cylinder with a radius of 6 cm and a height of 8 cm? Round to hundreths, let pi = 3.14
904.32 cm3
X and Y are directly proportional. When x = 4, y = 20. What is y when x = 6.
y = 30
When graphed, linear equations form a _________ line
straight
Angles E, F, and G are adjacent angles at a point. What is x if angle E = 299, angle F = 29, and angle G = (-42+x)
x = 74
A parallelogram has a length of 11.4 ft and a height of 4.5 ft.
51.3 ft2
What is the surface area of a triangular prism that has an equilateral triangle as a base and with the following dimensions:
triangle base = 3 cm, triangle height = 2 cm, prism height = 5 cm
51 cm2
W and Z and inversely proportional. When W = 9, Z = 28. What is W when Z = 12.
W = 30
Slope is always written as _______
rise over run
Angles H and I are supplementary. Find x if angle H = (3x+1) and angle I = (-17+x)
x = 49
The dimensions of a trapezoid are as follows: base 1= 10.7 yd, base 2= 5.1 yd and height= 5 yd. What is the area of the trapezoid?
39.5 yd2
A sandbox is shaped like a cuboid with dimensions of:
6 ft × 4 ft × 1.5 ft
If sand costs $35 per cubic foot, how much will it cost to fill the sandbox?
$1260
The intensity of illumination from a desk lamp on a book is inversely proportional to the square of the distance of the book from the lamp. When the book is 15 in from the lamp, the intensity of illumination is 6 units. Find the intensity of illumination when the book is 10 in from the lamp.
13.5 units
The place where a linear equation intersects an axis is called an ________.
Intercept
The legs of a right triangle has lengths of 3cm and 4 cm. What is the length of the missing side?
A circle has a diameter of 7 cm. What is the area of the circle?
38.465 cm2
A company is designing a cube-shaped gift box with side lengths of 8 cm. If decorative paper costs $0.03 per square centimeter, how much will it cost to wrap 250 boxes (assume no overlap)?
$2880
The floor plan of a kitchen is drawn to a scale of 1 : 50. The dimensions of the kitchen in the plan are 6 cm by 4.5 cm. Find the area of the kitchen in m2.
6.75 m2
What is the slope of the line x=4?
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What is the distance between (5,2) and (-3,8)?
10
60% of an 120 in2 area is covered by 8 equivalent squares. What is the length of each square?
3 in
A cylinder has a diameter of 6 in and a height of (x+1) in. Write the expression for the volume of the cylinder.
28.26x + 28.26 in
A street 250 yd long is represented by a distance of 6 in on a map. Find the actual area of a park, in square feet, if its area on the map is 0.6 in2.
9375 ft2
Does the point (-1,5) lie of the graph of y=-x+6?
No