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svetoff [14.1K]
3 years ago
11

Anna and Alice share a rectangle bedroom that is 18 feet long and 14 feet wide. they split the room into two halves by placing a

piece of tape from the northwest corner of the room to the southeast corner of the room. what is the area of each girls half of the room?
Mathematics
2 answers:
Alja [10]3 years ago
4 0
The area of the whole room = 14 × 18 = 252

Since they divide it by half, divide the are by 2.

252 ÷ 2 = 126

Answer = 126 ft²

Hope this helped☺☺
Marat540 [252]3 years ago
3 0
126 is the area of one hafe of the room
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MArishka [77]

Answer:

First find the circumference by pi r squared.

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3 years ago
2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16
Masja [62]

Answer: \frac{x-4}{2x-2}

Step-by-step explanation:

\frac{2x^2+5x+3}{x^2-3x-4} divided by \frac{4x^2+2x-6}{x^2-8x+16} is the same thing as multiplying \frac{2x^2+5x+3}{x^2-3x-4} by \frac{x^2-8x+16}{4x^2+2x-6}.

The equation we get is:

\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}

With this equation, we can factor each equation:

\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}

We can cancel out like terms since they would be dividing each other:

\frac{x-4}{2x-2}

8 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
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3 years ago
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mojhsa [17]
A+b+c=28x+40=180
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Heather wants to buy new carpet for her living room floor. The floor is in the shape of a rectangle. Its length is 19 feet and i
SCORPION-xisa [38]

Answer:

$2431

Step-by-step explanation:

wish u was Heather lol

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3 years ago
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