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iris [78.8K]
2 years ago
15

What is the length of the hypotenuse of the triangle when x=13

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Answer:

90.80

Step-by-step explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

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Keira , larry and gita picked apples at an orchard. keira picked twice as many pounds as larry and 3 times as many as gita. the
Natalija [7]
Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
   = 4560/2
   = 2280
G = K/3
   = 4560/3
   = 1520
Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple
7 0
2 years ago
Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
2 years ago
Simplify and show work <br><br> 5x - (6 - x)
Scilla [17]

Answer:

6x-6

Step-by-step explanation:

5x-(6-x)

First you distribute the negative to (6-x) which makes -6+x, then you just subtract that from 5x which makes 5x-6+x then you just simplify into 6x-6.

4 0
3 years ago
Change 2.36 to a mixed number and reduced to lowest terms
serg [7]
2.36=2\frac{36}{100}=2\frac{9}{25}
4 0
3 years ago
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats A
Naya [18.7K]
Hello! :)

The sum of the number of dogs and cats. 

Cats= 6

Dogs= d

It is asking for the sum. (the number added together)

d+6 or "C" is the correct answer.

~'Manda
5 0
3 years ago
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