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Phoenix [80]
3 years ago
9

Use the converse of the Pythagorean theorem to determine if the three given side lengths form a right triangle. 14 cm, 48 cm, 50

cm
Mathematics
1 answer:
Alex73 [517]3 years ago
4 0
So Pythagoras says that in a right triangle 

a^2 = b^2 + c^2

where a is the longest side and b, c are shorter sides

So using your information let a = 50, b = 48 and c = 14

substitute them into the formula ans see if the left side of the equation equals the right side. 

If the left side does equal the right side the triangle is right angled. 

If it doesn't it's not right angled. 
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It would be 30/48 but you still have to simplify it

5/8 is the answer
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3 years ago
X^3 = 125 over 27 CAN I PLEASE GET HELP
Zinaida [17]
X³ = 125/27

Cube root both sides to isolate the variable:

∛x³ = ∛(125/27)

x = ∛(125/27)

∛125 = 5, ∛27 = 3

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5 0
3 years ago
A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,
horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

7 0
3 years ago
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equatio
Novay_Z [31]

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

6 0
3 years ago
There are 1,200 people at the beach. If 88% of them went in the water, how many people DID NOT go in the water?
kiruha [24]

Answer:

144 people

Step-by-step explanation:

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We multiply the total number with 0.88 to see how many people went in the water:

1200(0.88) = 1056

To find the number of those who did NOT go in the water, we subtract the product from the total number:

1200 - 1056 = 144

4 0
3 years ago
Read 2 more answers
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