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Viktor [21]
3 years ago
14

A piece of wire 45cm long is bent to form a triangle. if the sides of the triangle are in the ratio 3:2:4, find the length of th

e longest side.
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

16

Step-by-step explanation:

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Calculate S58 for the arithmetic sequence {an}= {5/6n+1/3} If you could show me the steps that would be great. I keep following
Amanda [17]

Answer is 8671/6 which is the third choice

===================================

Work Shown:

Find the first term of the sequence by plugging in n = 1

a_n = (5/6)*n + 1/3

a_1 = (5/6)*1 + 1/3    replace n with 1

a_1 = 5/6 + 1/3

a_1 = 5/6 + 2/6

a_1 = 7/6

Repeat for n = 58 to get the 58th term

a_n = (5/6)*n + 1/3

a_58 = (5/6)*58 + 1/3    replace n with 58

a_58 = (5/6)*(58/1) + 1/3

a_58 = (5*58)/(6*1) + 1/3

a_58 = 290/6 + 1/3

a_58 = 145/3 + 1/3

a_58 = 146/3

Now we can use the s_n formula below with n = 58

s_n = (n/2)*(a_1 + a_n)

s_58 = (58/2)*(a_1 + a_58)    replace n with 58

s_58 = (58/2)*(7/6 + a_58)   replace a_1 with 7/6

s_58 = (58/2)*(7/6 + 146/3)   replace a_58 with 146/3

s_58 = (58/2)*(7/6 + 292/6)

s_58 = (58/2)*(299/6)

s_58 = (58*299)/(2*6)

s_58 = 17342/12

s_58 = 8671/6


5 0
2 years ago
Evaluate the expression for the given variable. Show all work to earn credit 2x2 + 3y +6 if x = 2 and y = 9?
Sladkaya [172]

Answer:

41

Step-by-step explanation:

4 0
3 years ago
Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of
inn [45]

Answer:

A   .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

7 0
3 years ago
Can anyone help solve this?
Mashcka [7]

Answer:

12.2

Step-by-step explanation

The triangles are congruent, so the sides are as well. Add 6.1 and 6.1 and you will get 12.2

5 0
3 years ago
Kofi wants to find the most-liked snacks to put in the vending machine at his office so the most people will buy from it.
Whitepunk [10]

Answer:

The correct option is B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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