The seventh term of the sequence is 364.5
<h3>Geometric progression </h3>
From the question, we are to determine the seventh term of the sequence
Using the formula,
Where 
is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,
Hence, the seventh term of the sequence is 364.5
Learn more on Geometric progression here: brainly.com/question/24643676
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Answer:
Divide total length by length of each piece to get the number of pieces.
= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45
ANSWER: Total number of pieces that can be cut is 45.
Answer:
Step-by-step explanation:
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Answer:
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Answer:
KL = 50
Step-by-step explanation:
∆JML is similar to ∆JNL. it follows that:
[tex] \frac{JM}{JN} = \frac{JL}{JK} [\tex]
JM = 4 + 20 = 24
JN = 4
JL = 10 + KL
JK = 10
Plug in the values
[tex] \frac{24}{4} = \frac{10 + KL}{10} [\tex]
[tex] 6 = \frac{10 + KL}{10} [\tex]
Multiply both sides by 10
[tex] 6*10 = \frac{10 + KL}{10}*10 [\tex]
[tex] 60 = 10 + KL [\tex]
Subtract 10 from each side
[tex] 60 - 10 = KL [\tex]
[tex] 50 = KL [\tex]
KL = 50
