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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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What type of triangle, if any can be formed with angle measurements of 32 degrees,126 degrees, and 32 degrees?
lubasha [3.4K]
There can’t be one formed because all sides of a triangle add up to 180 but when you add that it adds to 190 there for it will not make a triangle
8 0
3 years ago
A function is shown f(x) = 2/3x +3 what is the value of f (6)?
Katena32 [7]

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

f(x) = 2/3x +3

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9

5 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

x^2-(18+5)x+90=0            ( Middle term splitting)

x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

(x-5)(x-18)=0

x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

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