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ivann1987 [24]
3 years ago
12

One leg of a right triangle has a length of 7m. The other sides have lengths that are consecutive integers. Find these lengths.

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

24m and 25m.

Step-by-step explanation:

By Pythagoras Theorem:

h^2 = x^2 + 7 ^2       where h  is the hypotenuse and  x is the other leg.

But x and h are consecutive integers

so h = x + 1 and:

(x + 1)^2 = x^2 + 49

x^2  + 2x + 1 - x^2 = 49

2x + 1 = 49

2x = 48

x = 24

So the 2 lengths are 24 and 25.

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dimaraw [331]

Answer:

a?

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!! BE AUICK AND EXPLAIN!Solve the system by graphing!
zubka84 [21]
The answer to the question is (2,-2) d

4 0
3 years ago
1. PLEASE HELP. Consider the matrices-
Alex

Answer:

A - B  =  [  -1  3  ]

             [ -6  2  ]

             [ -4 -10 ]

Step-by-step explanation:

Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.

A =  [  4  7  ]              B =  [  5  4  ]

      [ -3  8  ]                     [  3  6  ]

      [ -5 -2  ]                    [  -1  8  ]

A - B  =  [ (4 - 5)  (7 - 4) ]

             [ (-3 - 3) (8 - 6) ]

             [ (-5 - -1) (-2 - 8) ]

A - B  =  [  -1  3  ]

             [ -6  2  ]

             [ -4 -10 ]

Cheers.

8 0
3 years ago
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
saw5 [17]

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13

Put m in (i) , we get

25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

7 0
3 years ago
Im so confused all i know is that it isn't C
hodyreva [135]
Well I’m not 100 percent sure but I believe it’s b
3 0
3 years ago
Read 2 more answers
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