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patriot [66]
3 years ago
14

A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

The other side = \frac{1}{12} units

Step-by-step explanation:

A right triangle has a side of length \frac{1}{4} units and;

the hypotenuse is \frac{1}{3}

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = (\frac{1}{4}) ^2   and  c² = ((\frac{1}{3} )^2

b² = c² - a²

b² = \frac{1}{9} - \frac{1}{16} = \frac{1}{144}

So b = \sqrt{1/144} = \frac{1}{12} units.

So the other side = \frac{1}{12} units.

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Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2
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Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

8 0
3 years ago
The length of the hypotenuse of a 45°-45°-90° triangle is 22. Find the length of one leg.
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Check the picture below.

8 0
3 years ago
somebody help pls Complete the table by filling in the multiplicative inverse of the numbers below 2,1/5,-4,​
Yakvenalex [24]

Answer:

Suppose we have a random number A.

The multiplicative inverse of A is a number X such that:

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When we work with real numbers, X = 1/A

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This means that (1/A) is the multiplicative inverse of A.

Where we need to have A ≠ 0, because we can not divide by 0.

Now we want to find the multiplicative inverse of the numbers:

2: Here the inverse is (1/2) = 0.5

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Klio2033 [76]
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