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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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A worker is handling the four of a rectangle room that is 12 feet by 15 feet.The tiles are square with side lengths 1 1/3 feet.
Anon25 [30]

Answer:

Step-by-step explanation:

The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as

Area = length × width

Area of the rectangular room would be

12 × 15 = 180 feet²

The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet

Area if each tile is

4/3 × 4/3 = 16/9 ft²

The number of tiles needed to cover the entire floor is

180/(16/9) = 180 × 9/16

= 101.25

102 tiles would be needed because the tiles must be whole numbers.

3 0
2 years ago
Factor completely. 2x^4+4x^3-30x^2
kramer

Answer:

Step-by-step explanation:

2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)

x² + 2x - 15

Sum = 2

Product = -15

Factors = 5 ; (-3)

x² + 2x - 15 = x² + 5x - 3x - 3 *5

                  = x(x + 5) - 3(x + 5)

                  = (x + 5)(x - 3)

2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)

7 0
3 years ago
100 POINTS!!!
PSYCHO15rus [73]

Answer:

A

Step-by-step explanation:

The first one is -2x + 3

The seconf one is -2x +7

Look, same slope.

7 0
2 years ago
Please solve it<br>I need to submit this by tomorrow ​
Brrunno [24]

Answer:

1

Step-by-step explanation:

(3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1

7 0
3 years ago
Each tablet in a box of allergy medicine weighs 0.3 gram. The total weight of all the tablets is 15 grams. How many tablets are
Hoochie [10]
50, as if 5 of the point 3 tablets equals 1.5, and then multiply that by ten and you get 50.
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3 years ago
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