Set up a proportion to solve for x in the following similar triangles,

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

$\frac{15}{x-4}$ = $\frac{12}{8}$ ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

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1 year ago

A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm.

Step2247 [10]

Answer:

The volume of the finished cylinder is $4486.2 m^3$

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

$V = \pi r^2h$