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liraira [26]
3 years ago
5

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 5 and 13. How man

y solutions does this problem have?
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Step-by-step explanation:

We are given with the two sides of a right angled triangle having lengths of 5 and 13. It is required to find the length of the third side of a right triangle. We know that hypotenuse of right angled triangle is the longest side.

For right angle triangle, we use Pythagoras theorem as :

H²=P²+B²

P is perpendicular distance

B is base

Putting H = 13 and P = 5, then

B² = H²-P²

B² = (13)²-(5)²

B²=144

B=12

So, the length if the third side of a right triangle is 12. It is the only solution.

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Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil
Alecsey [184]

Answer:

<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs=  t

Daffodil bulbs= d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t+ 6d= 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t+ 4d= 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t+ 6d-6t  = 78-6t  

6d/ 6= (-6t+78)/6

d= -t+13

Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t+ 4(-t+13) = 62

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<u>t= 5</u>

Substituting t=5 for the value of t in equation 1, and solve of d.

6(5)+ 6d= 78

30+ 6d= 78

6d=48

<u>d=8</u>

<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>

4 0
3 years ago
92542 nearest ten thousand
crimeas [40]
90,000
Hope this helps :)
8 0
3 years ago
Exponent Practice:<br> x^2/3=64
docker41 [41]
X^2/3 = 64
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square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
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6 0
3 years ago
Which expression is equivalent to2/3-1/4x+1/2x-1/6?
ivann1987 [24]
2/3 - 1/4 ... let's find the common numbers 12 so new numbers would be 8/12 and 3/12 aka 11/12 + .. anyways it's 11/12 plus 2/3 x
6 0
2 years ago
3X-4 over 14 equals 9 over 10 solve for x
Maru [420]

Answer:

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You change the subtraction to addition

3x+4/14=9/10

Then you change the fractions to decimals

Step-by-step explanation:

8 0
3 years ago
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