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Contact [7]
3 years ago
6

Use the Pythagorean Theorem to determine the if a triangle with side lengths 4ft., 10 ft., and 12ft. is a right triangle?

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
We can use Pythagoras Theorem to prove that a triangle is a right-angle triangle if the square of the two shorter legs add up to be the square of the longest leg.

In this case, we need to prove that 4² + 10² = 12²


<u>Pythagoras Theorem:</u>

\boxed {\boxed { a^2 + b^2 = c^2}}

4^2 + 10^2 = 16 + 100

4^2 + 10^2 = 116

4^2 + 10^2  \neq 12^2

Therefore a triangle with side lengths 4 ft, 10ft and 12 ft is not a right angle triangle.
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72 in^3

Step-by-step explanation:

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3 years ago
What two mixed numbers between 3 and 4 have a product between 9 and 12
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Here's an answer: 

3 1/4 and
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3 years ago
Which statement about the value of x is true? x &gt; 38 x &lt; 39 x &lt; 77 x &gt; 103
grigory [225]

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2 years ago
What is the vertical asymptote of this function?
liraira [26]

Answer:

D

Step-by-step explanation:

If y = log x is the basic function, let's see the transformation rule(s):

Then,

1. y = log (x-a) is the original shifted a units to the right.

2. y = log x + b is the original shifted b units up

Hence, from the equation, we can say that this graph is:

** 2 units shifted right (with respect to original), and

** 10 units shifted up (with respect to original)

<u><em>only, left or right shift affects vertical asymptotes.</em></u>

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7 0
3 years ago
The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa
liq [111]

Answer:

$1756

Step-by-step explanation:

1.  More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

   Tuition = 2x + 100

   $2584 = (2x + 100) + x

   $2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

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Check Work: (828*2) + 100 = $1756

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7 0
2 years ago
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