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Naddik [55]
3 years ago
5

The width of a rectangular garen is 2⁴ ft and the length of the garen is 2⁶ft. What is the area of the garden?

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

width = 2⁴ ft

length = 2⁶ ft

Substitute the values into the above formula

That's

<h3>Area =  {2}^{6}  \times  {2}^{4}</h3>

Using the rules of indices

That's

<h3>{a}^{b}  \times  {a}^{c}  =  {a}^{b + c}</h3>

Since the bases are the same and are multiplying we add the exponents

We have

<h3>Area =  {2}^{6 + 4}</h3>

We have the final answer as

<h3>Area =  {2}^{10}    \: ft</h3>

Hope this helps you

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Oksanka [162]
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we know that
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then

sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
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 now i use the the Law of Cosines 

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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
What is the product of 1/3 and 4/7?
Travka [436]

Answer:

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Step-by-step explanation:

Multiply 1 and 4. Then multiply 3 and 7. So 1x4=4, and 3x7=21. Therefore, the answer is 4/21. In multiplying fractions, you just multiply straight across (: (Hope this helps)

7 0
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