Answer:
The answer to your question is below
Step-by-step explanation:
Data
Right triangle
hypotenuse = 24
Opposite side = 15
Adjacent side = ?
Process
1.- Calculate the adjacent side using the Pythagorean theorem.
hypotenuse² = opposite side² + adjacent side²
-Solve for adjacent side
Adjacent side² = hypotenuse² - opposite side²
-Substitution
Adjacent side² = 24² - 15²
-Simplification
Adjacent side² = 576 - 225
Adjacent side = 351
-Result
Adjacent side = 18.73°
2.- Find the value of x°
a) Using sin x
sinx = Opposite side/Hypotenuse = 15/24 = 0.625
x = 38.68°
b) Using cos x
cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78
cos x = 38.68°
c) Using tan x
tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80
tan x = 38.68°
Ratio of dogs to cats is 16 to 12....can be written as 16/12 which reduces to 4/3 or 4:3
Answer:
C
Step-by-step explanation:
It is a isosceles triangle as two of the sides are equal, denoted by a line going though two of the sides
Factoring is decomposing a higher powered expression into a lower powered expressions that are multiplied together. Since (a-b)(a^2+ab+b^2) is lower powered than a^3-b^3, (a-b)(a^2+ab+b^2) is more simplified.
The Difference of Cubes formula shows up frequently in mathematics courses and should be memorized.
The formula for factoring the difference of cubes is (a^3 - b^3)= (a-b)(a^2+ab+b^2). It works because if (a-b)(a^2+ab+b^2) is multiplied it out, then it becomes a^3 - b^3. This was probably originally determined by trial and error a long time ago.
Since x is cubed and 8 is 2^3 it factors with the Difference of Cubes Formula. (x^3-2^3)=(x-2)(x^2+2x+2^2)=(x^2+2x+4)