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joja [24]
3 years ago
12

2. You plan to replace the carpeting in the room shown. What is the

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0

Answer:

198

Step-by-step explanation:

RSB [31]3 years ago
5 0

Answer:

198\ ft^2

Step-by-step explanation:        

see the attached figure to better understand the problem

we know that the area of the room is equal to the area of a rectangle plus the area of a trapezoid

step 1

Find out the area of the rectangle

A_1=(18)(9)=162\ ft^2

step 2

Find out the area of the trapezoid

A_2=\frac{1}{2} (9+3)(6)=36\ ft^2

step 3

Sum the areas

A=A_1+A_2

substitute the values

A=162++36=198\ ft^2

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PLEASE PEOPLE, HELP ME!! Geometry
Oksanka [162]
I use the sin rule to find the area

A=(1/2)a*b*sin(∡ab)

1) A=(1/2)*(AB)*(BC)*sin(∡B)
sin(∡B)=[2*A]/[(AB)*(BC)]

we know that
A=5√3
BC=4
AB=5
then

sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
(∡B)=arc sin (√3/2)= 60°

 now i use the the Law of Cosines 

c2 = a2 + b2 − 2ab cos(C)

AC²=AB²+BC²-2AB*BC*cos (∡B)

AC²=5²+4²-2*(5)*(4)*cos (60)----------- > 25+16-40*(1/2)=21

AC=√21= 4.58 cms

the answer part 1) is 4.58 cms

2) we know that

a/sinA=b/sin B=c/sinC

and

∡K=α

∡M=β

ME=b

then

b/sin(α)=KE/sin(β)=KM/sin(180-(α+β))

KE=b*sin(β)/sin(α)

A=(1/2)*(ME)*(KE)*sin(180-(α+β))

sin(180-(α+β))=sin(α+β)

A=(1/2)*(b)*(b*sin(β)/sin(α))*sin(α+β)=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

KE/sin(β)=KM/sin(180-(α+β))

KM=(KE/sin(β))*sin(180-(α+β))--------- > KM=(KE/sin(β))*sin(α+β)

the answers part 2) are

side KE=b*sin(β)/sin(α)
side KM=(KE/sin(β))*sin(α+β)
Area A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

5 0
3 years ago
the number of cars on equally Arbor Road in here 2007 was 2500 in Year 2014 the number is 4000 calculate the percentage increase
Zepler [3.9K]

Answer:

(4000/2500)100=160%

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3 years ago
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Answer: 0.48
Explanation: $2.88 / 16
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3 years ago
The diameter of a semicircle is 8 millimeters. What is the semicircle's radius?
nirvana33 [79]

Answer:

4 millimeters

Step-by-step explanation:

a radius is half of a diameter

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