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Kisachek [45]
3 years ago
5

Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor

plan are 1- 7/8 inches by 2- 1/2 inches. What is the area of their real living room in square feet?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

208 ⅓ ft²

Step-by-step explanation:

1⅞ = 15/8 inches ÷ 12

= 5/32 feet on map

Actual = 5/32 × 80

= 25/2 feet

2½ = 5/2 inches ÷ 12

= 5/24 feet on map

Actual = 5/24 × 80 = 50/3

Actual area:

25/2 × 50/3

= 625/3 ft²

= 208 ⅓ ft²

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8 0
3 years ago
What is the measure of angle 3 if the measure of
ELEN [110]

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

8 0
3 years ago
What is the perimeter of the given figure?
NISA [10]

Answer:

D.

Step-by-step explanation:

The length of the unmarked side of the triangle is found by using Pythagoras:

x sqrt (10^2 - 6^2)

= sqrt 64

= 8.

The length of the curved part = 1/2 * pi * 10 = 5pi

Perimeter = 8 + 6 + 5pi

= 14 + 5pi

8 0
3 years ago
Read 2 more answers
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