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trapecia [35]
3 years ago
6

The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.

Mathematics
2 answers:
Archy [21]3 years ago
8 0
An isosceles triangle is a triangle that has one pair of equal sides. The Formula in finding the perimeter of a triangle is PΔ=S₁+S₂+S₃. Since two legs are missing, and the given are the base and perimeter, we will use the formula : S₁+S₂ = PΔ-S₃, where: S₁+S₂ are the legs and <span>S₃ is the base.
Substitute values:
</span><span>S₁+S₂ = 43cm - 7 cm
</span>          = 36 cm
since S₁ and S₂ are equal, divide 36cm by 2. Therefore S₁ and <span>S₂ measures 18cm.
Check: </span><span>PΔ=S₁+S₂+S₃
</span><span>                 = 18cm + 18 cm + 7cm
                 = 43cm

</span>
Nataly_w [17]3 years ago
5 0

Answer:

121

Step-by-step explanation:

legs are x but base is x+7

x+x+x+7 is perimeter = 43

3x+7=43

3x=36

x=12

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3 years ago
Write each sequence as a function.
Fiesta28 [93]

Answer: f(n)=3^{n-1}

Step-by-step explanation:

Given Recursive formula : a_{n+1} = 3a_n,, a_1=1

Then,  a_2=a_{1+1} = 3a_1=3(1)=3

a_3=a_{2+1} = 3a_2=3(3)=9

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We can write it as : f(n)=3^{n-1}

such that

n      f(n)=3^{n-1}

1       f(1)=3^{1-1}=1

2       f(2)=3^{2-1}=3^1=3

3       f(3)=3^{3-1}=3^2=9

Hence, the required function: f(n)=3^{n-1}

8 0
3 years ago
Read 2 more answers
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podryga [215]

6 + 2^1 = 8 is the expression that includes an exponent and has a value of 8

<em><u>Solution:</u></em>

Given that, Use the number 8, 6, and 2 and one operation to write an expression that includes an exponent and has a value of 8

We have to use each number only once

Given numbers are 8, 6, 2

Our expression should include exponent and the result should be 8

Among 6 and 2 we can use 2 for exponent

Raise 2 to power of 1

<em><u>The expression becomes:</u></em>

6 + 2^1 = 8

Here we have used one operation, that is addition

Verifying the expression

6 + 2^1 = 6 + 2 = 8

Thus the required expression is found

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Step-by-step explanation:

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Answer:

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