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3 years ago

I need help for #3 please! Asap:)

Mathematics

2 answers:

Artemon [7]3 years ago

8 0

Is this multiple choice? I know that a is correct.

nevsk [136]3 years ago

6 0

The answer is a and that is correct

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Find the 8th term in the following geometric sequence. Round your answer to the nearest hundredth. 27/375, 9/75,3/15,1/3,....

Nesterboy [21]

Answer:

2.57

Step-by-step explanation:

The common ratio of this sequence is ...

(1/3)/(3/15) = (1/3)/(1/5) = 5/3

Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...

(1/3)·(5/3)^4 = 625/243 ≈ 2.57

_____

The generic n-th term (an) is ...

an = a1·r^(n-1)

where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:

a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57

7 0

3 years ago

Tell weather the measurements can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right. 15

enyata [817]

Hi there!

Let's use the pythagorean theorem for both sets of values.

WORK:
${15}^{2} + {18}^{2} = {20}^{2}$
$225 + 324 = 400$
$549 > 400$
The first set of values is an ACUTE triangle.

${7}^{2} + {8}^{2} = {11}^{2}$
$49 + 64 = 121$
$113 < 121$
The second set of values is an OBTUSE triangle.

Hope this helps!! :)

4 0

3 years ago

What are the next three terms in the sequence?

motikmotik

Probably D because it started out as negative and then kept going up to positive

7 0

3 years ago

Rocky simplified an expression in three steps, as shown below: x to the power of negative 5 multiplied by y to the power of 2, o

maria [59]

Answer:

Step 3 is wrong

Step-by-step explanation:

7 0

3 years ago

Please help me with this one

zhuklara [117]

Answer:

answer= 65% or 56.25

Step-by-step explanation:

3 0

4 years ago