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marshall27 [118]
3 years ago
12

Multiply. Express your answer in simplest form.

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

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The radius of a semi-circle measures 5<br> units. Find its area.
shutvik [7]

Answer:

≈39.27 units

Step-by-step explanation:

To find the area of a semi circle, you use the formula for finding the area of a circle, which is \pir^{2}, and then you divide that by 2 since it is half of a circle.

In this case, \pi(5)^{2} ≈ 78.54

\frac{78.54}{2} = 39.27

8 0
3 years ago
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
elena-s [515]

Answer:

C

Step-by-step explanation:

Jason- Two bags 6 tiles each = 1 bag 12 tiles

2/12 for a 5. 2 for 36.

4 0
2 years ago
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distr
iris [78.8K]

Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

3 0
3 years ago
The drawing shown contains the intersection of two lines.
Phantasy [73]

Answer:

\Huge \boxed{x=5}

\Huge \boxed{121\°}

Step-by-step explanation:

∠1 and ∠2 are vertical angles.

∠1 = ∠2

<u>Part A:</u>

<u></u>

Create an equation and solve for x.

20x + 21 = 30x - 29

Add 29 and -20x on both sides.

20x + 21 + 29 - 20x = 30x - 29 + 29 - 20x

Simplify the equation.

50 = 10x

Divide both sides by 10.

\frac{50}{10} = \frac{10x}{10}

Simplify the equation.

5 = x

Switch sides.

x = 5

<u>Part B:</u>

<u></u>

Let x = 5

20(5) + 21

Distribute.

100 + 21

Add.

= 121

Since both angles are vertical angles, they are equal.

∠1 = 121°

∠2 = 121°

3 0
3 years ago
Find the slope of the line that passes through (4, 13) and (9, 4).
neonofarm [45]
If I’m correct I’m pretty sure it is X=5 and Y=-9
6 0
3 years ago
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