2 years ago

What is the value of X?

Mathematics

1 answer:

algol [13]2 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

ΔABC is 45 45 90 right triangle

The ratio of leg: hypo = a : a√2

Given: hypo AC = 6√2; so AB = BC = 6

ΔBCD is 30 60 90 right triangle

The ratio of short leg : long leg : hypo = x : x√3 : 2x

Hypo. BC = 6 = 2 (3)

So short leg BD = x = 3

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Now write the number is standard form ?

chubhunter [2.5K]

Step-by-step explanation:

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3 years ago

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An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room

Lina20 [59]

Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.

Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.

The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft

Answer:
41.5 feet of baseboard.