Trigonometry
Find the geometric mean between 2 and 5.
What is √10
The measure of each exterior angle of a regular polygon is 45 degrees.
How many sides does the polygon have?
What is 8 sides.
A sign is shaped like an equilateral triangle. If one side of the sign is 36 inches, what is the approximate area of the sign?
What is 561 in squared.
An angle whose vertex goes is the center of the circle is called a __________ angle.
Central
Find the midpoint between (-2, 2) and (1, 4).
What is (-1/2, 3)
If the diagonal of a square is 22cm, what is the length of the side of the square?
What is 11√2?
The measures of two sides of a triangle are 14 feet and 29 feet.
If the measure of the third side is x feet, find the range for the value of x.
15 ft < x < 43 ft
What is the approximate area of an isosceles trapezoid with base 1 being 12 cm, base 2 being 20 centimeters and a height of 4 root 3 cm?
What is 110 cm squared.
An apple pie is cut into six equal slices.
If the diameter of the pie is ten inches, what is the approximate arc length of one slice of pie?
What is 5.24 in.
Name the image of X(6, –7) under a reflection in the line y = x.
What is Xʹ(–7, 6)
A 20 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall.
What is the approximate measure of the angle the ladder forms with the ground?
What is 69.5 degrees.
Name a polyhedron with 20 faces.
What is an icosohedron.
The surface area of a right cylinder is 252π square feet and the height is 11 feet.
Find the radius of the cylinder.
What is 7ft
Write the equation of the circle with a center at (–3, –2) and that has the y-axis as a tangent line.
What is (x+3)2 + (y+2)2 = 9
To win a carnival game, Keisha must throw a dart and hit one of 25 circles in a dartboard that is 4 feet by 3 feet.
The diameter of each circle is 4 inches.
Approximately, what is the probability that a randomly thrown dart that hits the board would also hit a circle?
What is 18 %.
A ladder is leaning against the side of a building. The ladder is 30 feet long, and the angle between the ladder and the building is 15 degrees.
About how far is the foot of the ladder from the building?
What is 7.76 feet.
△ABC ∼ △PQR, AB = 18, BC = 20, AC = 22, and QR = 2
Find the perimeter of △PQR.
What is 75?
The length of each side of a cube is 10 meters long. Find the volume of a sphere inscribed in the cube. Round to the nearest tenth.
What is 523.6 m 3
Find the radius of a circle with an equation of (x + 3)2 + (y - 2)2 = r2 and containing (0,8).
What is 3√5.
A circle is inscribed in a square with side length of 11 inches.
If a point is randomly chosen inside the square, what is the approximate chance that the point lies outside the circle?
What is 21 percent.
△ABC is a 30°-60°-90° triangle with right angle A and with AC as the longer leg.
If A(–4, –2) and B(–4, 6), find the exact coordinates of C.
What is (–4 + 8√3, -2)
or (–4 + 8√3, -2)
If three of the interior angles of a convex hexagon each measure 140°, a fourth angle measures 84°, and the measure of the fifth angle is 3 times the measure of the sixth angle, find the measure of the sixth angle.
What is 54 degrees
Why do parallel lines not exist in spherical geometry?
Lines in spherical geometry are great circles. Great circles always intersect, therefore they cannot be parallel.
Find the equation of a parabola with focus at (0, 4) and directrix y = –4.
x2 = 16y or
y = (1/16)x2
A gardener wants to enclose a circular garden with a square fence (circle inscribed in a square).
If the circumference of the circular garden is about 48 feet, what is the approximate length of fencing needed?
What is 61 feet.