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konstantin123 [22]
3 years ago
9

If the 2nd term of a G.P series is 3/2 and the Fourth term is 3/8, find the first and common ratio of the series

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Step-by-step explanation:

second terms:

ar=3/2

forth term

ar^3=3/8

combine two equation:

r^2=1/4

r= +1/2 or -1/2

a=3 or -3

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Answer: 18

Step-by-step explanation: Simplify 2^3 to 8. 3/4 (8+4^2). Simplify 4^2 to 16. 3/4 (8+16). Simplify 8+10 to 24. 3/4*24. Use this rule: a/b * c = ac/b. Simplify 3*24 to 72.  72/4.

<em>Hope this helps!</em>

8 0
3 years ago
20% of the basketball team is injured if there is a total of 15 players on the team how many have been injured​
pav-90 [236]

Answer:

3 players

Step-by-step explanation:

15 times 20% = 3.

You can check yourself if you'd like.

HOPE THIS HELPS :)

5 0
3 years ago
I’m confused and need help fast please.
Vikki [24]

Answer:

C) 48.3

Step-by-step explanation:

The lines are parallel, meaning that when the third line is intersecting them both, the angles formed will be exactly the same. The top angle that is to the right is 25°, meaning that he bottom angle to the left is 25°. All that is left is to find the last two angles in order to find out what the answer to the equation is. The 25° angle is next to a triangle causing the lines to be flat, or 180°.

180 - 25 = 155

That means the bottom angle to the right is 155. In order to find x, subtract 10 and divide by 3.

3x + 10 - 10 = 155 - 10

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6 0
3 years ago
9. Which of the following could be the side measures of a right triangle?
Lapatulllka [165]

Answer:

  A.  5 ft, 4 ft, 3 ft

Step-by-step explanation:

When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:

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You have found the correct answer at this point.

_____

If you want to check, you can examine the other choices:

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  B: 2² +4² = 20 ≠ 6²

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<em>Comment on 3-4-5 triangle</em>

As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.

This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.

(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.

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3 years ago
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