What is the value of x in simplest radical form?
x = ________________ (Simplify your answer. Type an exact answer, using radicals as needed.)
What is the value of x in simplest radical form?
x = _______________ (Simplify your answer. Type an exact answer, using radicals as needed.)
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 21 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches
Does the set of numbers form a Pythagorean triple? Explain.
8, 6, 9
The lengths of the sides of a triangle are 7, 24, and 25. Classify the triangle as acute, right, or obtuse.
Write the ratio for tan A.
tan A = ___________ (Type an integer or a simplified fraction.)
Write the ratio for cos B.
cos B = __________ (Type an integer or a simplified fraction.)
Find the measure of side a.
a = ____________ m (Round the answer to the nearest whole number.)
Find the value of x..
x =__________ (Do not include the degree symbol in your answer. Round to the nearest degree as needed.)
A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 36° How far off the coast, to the nearest foot, is the island?
d = ____________ ft (Round the answer to the nearest whole number.)
Find the value of a in the parallelogram.
a = ___________________ (Simplify your answer.)
For what value of x is the given parallelogram a rhombus?
The given parallelogram is a rhombus when x = ____________.
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 4x + 4 and MP = 9x − 6
x =
LN =
MP =
Find the area of the triangle.
Area = ______ m2 (Simplify your answer.)
Find the area of parallelogram ADKF.
The area is ________________ square units. (Simplify your answer.)
Find the area of the trapezoid.
________ m2. (Simplify your answer.)
Find the area of the kite.
Area = ________ m2. (Simplify your answer.)
The gazebo in the photo is built in the shape of a regular octagon. Each side is 11ft long, and the enclosed area is 585.2 ft2. What is the length of the apothem?
The length of the apothem is _____________ ft.
