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Varvara68 [4.7K]
1 year ago
5

18. What is the perimeter of triangle GHJ?

Mathematics
1 answer:
LenKa [72]1 year ago
8 0

The perimeter of triangle ΔGHJ is 34 units. The perimeter of triangle ΔKLM is 17 units. The perimeter of triangle ΔGHJ is twice the perimeter of triangle ΔKLM.

<h3>What is the perimeter of a triangle?</h3>

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

As per the given figure, the required solution would be as:

The perimeter of triangle ΔGHJ is :

⇒ JH + HG + GJ

⇒ 8 + 12 + 14

Apply the addition operation,

⇒ 34 units

The perimeter of triangle ΔKLM is :

⇒ LK + KM +ML

⇒ 7 + 4 + 6

⇒ 17 units

The relationship between the perimeter of triangle GHJ and the perimeter of triangle KLM is :

The perimeter of triangle ΔGHJ is twice the perimeter of triangle ΔKLM.

Learn more about the perimeter of a triangle here:

brainly.com/question/24388271

#SPJ1

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Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.​
fomenos

the explicit formula for aₙ the nth term of the sequence will be:a_{n}=6\times (\frac{2}{3})^{n-1}\\

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

a_{n}=a_{1}r^{n-1}

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\

So, the explicit formula for aₙ the nth term of the sequence will be: a_{n}=6\times (\frac{2}{3})^{n-1}\\

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

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#learnwithBrainly

6 0
3 years ago
Charlie wants to make a one-time investment in an account that earns 4% interest compounded quarterly. To earn $315,930 after 21
KIM [24]

Answer:

B.  $136,960.54

Step-by-step explanation:

Rate = r = 4%

Times = b = 4

Future Value = A = $315,930

No. pf Years = n = 21

Present Value = P = ?

A = P [1 + (r / b)]ⁿᵇ

$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴

$315,930 = P [1 + 0.01]⁸⁴

$315,930 = P [1.01]⁸⁴

$315,930 = P x 2.306723

P = $315,930 / 2.306723

P = $136,960.54

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3 years ago
15 yards to 18 yards
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The answer is 270 , I multiplied 15 by 18 and got 270
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