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vazorg [7]
3 years ago
14

Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side?

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer:the 3rd length could be 10 if the triangle is a right angled triangle,and 6 and 8 are the opposite and adjacent sides.

Step-by-step explanation:

If the triangle is a right angled triangle with 6 and 8 as the opposite and adjacent sides, then they missing side is there hypotenuse.this can be gotten using Pythagoras rule

Hypotenuse=√(8^2+6^2)

Hypotenuse=√(8x8+6x6)

Hypotenuse=√(64+36)

Hypotenuse=√(100)

Hypotenuse=10

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Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have
77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0
3 years ago
∠5 ​ and​ ​ ∠6 ​ ​are complementary angles.<br><br> m∠5=13°<br><br> What is the measure of ​ ∠6 ​?
loris [4]

Answer:

the measure of <6 is 77 degrees

x + 13 = 90

x = 77

Step-by-step explanation:

4 0
2 years ago
5 roses cost $55. What will 4 roses cost?
kodGreya [7K]
Divide 55 by 5. get 11 times that by 4. you're welcome

3 0
3 years ago
Read 2 more answers
magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose
Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents, 12 ​% chose chocolate​ pie, and the margin of error was given as plus or minus 5 percentage points.What values do ​ \r p ,  \ \r q, ​n, E, and p​ represent? If the confidence level is 90​%, what is the value of \alpha ​?

Answer:

a

   \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

   E is the  margin of error is E  =  0.05

   \r  q represents the proportion of those that did not chose chocolate​ pie i.e                        \r  q  =  1-  \r p

b

   \alpha  = 10\%

Step-by-step explanation:

Here

    \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

    \r  q represents the proportion of those that did not chose chocolate​ pie i.e  

      \r  q  =  1-  \r p

      \r  q  =  1-  0.12

      \r  q  = 0.88

     E is the  margin of error is E  =  0.05

Generally \alpha is the level of significance and it value is mathematically evaluated as

     \alpha  = ( 100 -  C  )\%

Where  C is the confidence level which is given in this question as  C =  90  \%

So  

    \alpha  = ( 100 -  90  )\%

    \alpha  = 10\%

5 0
3 years ago
What is f(x)=2x-1 if x=0
mrs_skeptik [129]

Answer:

f=\frac{2x-1}{x}

Step-by-step explanation:

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