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ArbitrLikvidat [17]
2 years ago
11

How to work out Pythagoras Theoram​

Mathematics
1 answer:
Vlad [161]2 years ago
7 0

The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.

The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2

To find the answer (without the exponent), you should find the square root.

Now that we have the formula, let's apply it to a triangle:

90^2 + 95^2 = c^2 =

8100 + 9025 = 17125

Square root = 130.86252328302

130.86252328302 is the exact measure of the hypotenuse.

I hope this helped!

Please mark brainliest :)

Have an amaing day!

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Simplify (4xy-2x)+(2x^2+8x)
devlian [24]

Answer: 4xy+6x+2x^2

Step-by-step explanation:

4xy-2x+2x^2+8x

we can combine the terms that only have an x (Ax for any number A)

in this case that's -2x and 8x

-2x+8x=6x

the other things can't be combined

thus you end up with

4xy+6x+2x^2

8 0
3 years ago
In a certain city , the hourly wage of workers on temporary employment crontracts is normally distributed. The mean is $15 and t
Doss [256]

Answer:

16%

Step-by-step explanation:

The mean is $15 and the standar deviation is $3.

mean = 15  and SD = 3

We need to find percentage less than 12 per hour

P(x<12)= P(x=12)

to find P(x=12) we find z-score

z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1

Now use z-score table . z-score = 0.1587

P(x=12)=0.1587

To get percentage we multiply by 100

0.1587 * 100 = 15.87 = 16%

4 0
3 years ago
Factor completely 5x2 − 50x + 120.
BartSMP [9]

Answer:

<h2>Q1. d. 5(x - 4)(x - 6)</h2><h2>Q2. b. (8x - 1)(8x + 1)</h2>

Step-by-step explanation:

\bold{Q1}\\\\5x^2-50x+120=5(x^2-10x+24)=5(x^2-6x-4x+24)\\\\=5\bigg(x(x-6)-4(x-6)\bigg)=5(x-6)(x-4)\\\\\bold{Q2}\\\\64x^2-1=(8x)^2-1^2=(8x-1)(8x+1)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)

8 0
3 years ago
Read 2 more answers
Will give brainliest
Sonja [21]

The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

<h3>How to simplify the addition between two rational equations</h3>

In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:

  1. (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²)      Given
  2. (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²)     x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
  3. 1 / (n - 2) + 5 / (3 · n²)     Associative and modulative property / Existence of the multiplicative inverse
  4. [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)]       Addition of fractions with different denominator
  5. (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²)       Distributive property / Power properties / Result

To learn more on rational equations: brainly.com/question/20850120

#SPJ1

4 0
2 years ago
A local gym has 2 types of cardio machines, treadmills and elliptical machines. There are 38 cardio machines in all. There are 1
Brilliant_brown [7]

Answer:

14 elliptical machines

Step-by-step explanation:

t = # of treadmills

e = # of elliptical machines

t + e = 38

t = e + 10

Substitute:

e + 10 + e = 38

2e = 28

e = 14

6 0
3 years ago
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