The triangles are similar. Find the missing side and identify the similarity ratio.
x = 10
Similarity ratio: 2/1 or 2
Find the value of x. Leave answer in simplest radical form.
x = 3sqrt(10)
Find the arc length. Round to nearest tenths.
18.9 in.
Find the surface area of the sphere. Round to the nearest tenths.
452.4 square cm
Find the value of n and y. Leave answers in simplest radical form.
n = 18
y = 9sqrt(3)
Find the area of the sector. Round to nearest tenths.
12.6 square units
Find the volume of the square pyramid.
256 feet cubed
In triangle TUV and triangle EFG, what is the value of x? Then, find the lengths of side VT and EG.
x = 7
VT = 2
EG = 10
Find the value of n. Leave answers in simplest radical form.
n = 7 sqrt(2)
Given that the circumference of a circle is 18 inches, what is the area in square feet? Use 3.14 for pi. Round answer to nearest tenths.
0.2 square feet
If the side lengths of this cube tripled, how many times bigger would the volume of the larger cube be?
27 times bigger.
In the diagram below, JE and DL intersect at F, and JL is parallel to DE. Are these triangles similar? If so, give the similarity statement AND similarity theorem. If not, explain why.
Triangle JLF ~ Triangle EDF
AA~ Theorem
Find sine, cosine, and tangent of angle R. Leave answers in simplest form.
8/17, 15/17, 8/15
Find the arc length if the central angle is 5pi/36 radians and the radius is 5 cm. Round to the nearest tenths.
2.2 cm
Find the volume of the cylinder. Round to nearest tenths.
502.4 cubic meters
A tree casts a 26 foot shadow. A nearby man who is 6 feet tall casts a 4 foot shadow. How tall is the tree?
39 feet tall
Solve for a and b. Round to nearest tenths.
a = 3.7
b = 3.3
Write the equation of a circle with a diameter that has endpoints at (11,13) and (8,17).
(x - 9.5)2 + (y - 15)2 = 6.25
Find the volume of the cone.
37.7 meters cubed