A Pythagorean triple is a set of thre integer numbers, a, b and c that meet the Pythgorean theorem a^2 + b^2 = c^2
Use Euclide's formula for generating Pythagorean triples.
This formula states that given two arbitrary different integers, x and y, both greater than zero, then the following numbers a, b, c form a Pythagorean triple:
a = x^2 - y^2
b = 2xy
c = x^2 + y^2.
From a = x^2 - y^2, you need that x > y, then you can discard options A and D.
Now you have to probe the other options.
Start with option B, x = 4, y = 3
a = x^2 - y^2 = 4^2 - 3^2 = 16 -9 = 7
b = 2xy = 2(4)(3) = 24
c = x^2 9 y^2 = 4^2 + 3^2 = 16 + 9 = 25
Then we could generate the Pythagorean triple (7, 24, 25) with x = 4 and y =3.
If you want, you can check that a^2 + b^2 = c^2; i.e. 7^2 + 24^2 = 25^2
The answer is the option B. x = 4, y = 3
In statistics the word "and" symbolized for multiplaction operation and the word "or" symbolized addition operation. so the number of ways can bob choose a fruit from the bowl is :
P = ( 7 x 10 ) + ( 10 x 4 ) + (4 x 7)
P = 138 ways he can choose a fruit from the bowl
Answer:
3.6 divided by 3 = 1.2 so 1.2 yards of material can be used on each skirt.
Step-by-step explanation:
Answer:
The answer to your question is x = 35°
Step-by-step explanation:
Data
angle x = ?
Opposite side = 7
Adjacent side = 10
Process
To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.
Tan x = Opposite side / Adjacent side
- Substitution
Tan x = 7 / 10
- Simplification
Tan x = 0.7
- Result
Tan⁻¹ x = x = 34.99 or x ≈ 35°
There are 138 female patients in the hospital.
<h3>Solving word problems involving ratios.</h3>
The solution to the word problem involving ratios in the given problem can be determined as follows.
From the given information:
The total number of people in the hospital = male + female
= 184 + x(unknown)
- If the ratio of male to female is 4: 3.
- The total ratio is 4+3 = 7
The ratio of males in the hospital is:
x = 322
The number of female patients in the hospital can now be computed as:
= 138 female patients
Check:
The total number of people in the hospital is:
= 184 + 138
= 322 patients
Learn more about word problems here:
brainly.com/question/13818690
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