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Alinara [238K]
4 years ago
10

There are two trees in a park. The taller tree is 6 feet and 8 inches. The shorter tree is 6 inches shorter than half the height

of the taller tree. What is the height of the shorter tree?
Mathematics
1 answer:
ollegr [7]4 years ago
5 0

Answer: 2ft 8in

Step-by-step explanation:

Convert to inches - 6ft 8in ----> 6 x 12 + 8 = 80

Divide - 80/2 = 40

Subtract - 40 - 6 = 32

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3 years ago
4 The pet store has 6 fish tanks.
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Step-by-step explanation:

12

6 0
3 years ago
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...
PilotLPTM [1.2K]
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots
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We can then find the exact value of the sum:

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\impliesS-\dfrac23S=\dfrac13
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So the answer is B.
8 0
3 years ago
A scientist plans to study exotic birds in the rain forest. The helicopter
AlladinOne [14]

Answer:

2 days

Step-by-step explanation:

For the flight to and from it will cost a total of $998

We subtract the flight from the budget, which leaves us with $285

Next, we subtract 1 day from $285 which is $112

That leaves us with $173.

We then subtract one mire day ($112) which leaves us with $61

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Sin^2A-cos^2B=sin2^B-cos^2A​
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Answer:

see explanation

Step-by-step explanation:

Using the trig identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x

cos²x = 1 - sin²x

Consider the left side

sin²A - cos²B

= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis

= 1 - cos²A - 1 + sin²B

= sin²B - cos²A

= right side , thus verified

7 0
3 years ago
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