Answer:
179.159
Step-by-step explanation:
Given the sequence :
50, 60, 72,..
The sequence given is a geometric sequence :
For a geometric sequence ;
ar^(n - 1)
a = first term
r = a2 / a1 = 60 / 50 = 1.2
The 8th term ; n =8
a8 = ar^(n - 1)
a8 = 50*1.2^(8 - 1)
a8 = 50*1.2^7
a8 = 50*3.5831808
a8 = 179.15904
a8 = 179.159 (nearest thousandth )
The correct representations of inequality 6x>3+4(2x-1) will be 6x ≥ 3 + 8x – 4.Option B is correct
<h3>What is the definition of inequality?</h3>
Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
The complete question is;
"Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.
A)1 ≥ 2x
B)6x ≥ 3 + 8x – 4"
6x ≥ 3 + 4(2x – 1)
6x≥3+8x-4
The correct representations of inequality 6x>3+4(2x-1) will be 6x ≥ 3 + 8x – 4.
Hence, option B is correct
To learn more about inequity, refer to brainly.com/question/20383699
#SPJ1
The calculated distance would be in square units instead of linear units.
Answer: Option C.
<u>Explanation:</u>
The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.
Slope: (y2-y1)/(x2-x1)
(6-8)/(4-2) = -2/2 = -1
The slope is -1
For this case what you should do is use the following trigonometric relationship:
sin (x) = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse
Substituting the values we have:
sen (60) = long / h
sen (60) = 3 / h
h = 3 / sin (60)
h = 3.46
Answer:
h = 3.46
