Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.
It would be <span>more useful to represent a proportional relationship with a graph rather than an equation when you need to compare two things visually. The graph gives you a clearer idea than am equation. I hope that this is the answer that you were looking for and it has actually come to your great help.</span>
Answer:
6
Step-by-step explanation:
<u>3x12</u> = <u>36</u>
(4+2) 6
simplify
36/6=6
The value is indeed 6 and there shouldn't be a variable because if there is, then there should be a variable in the question.
Formatted Options:
A. sin²A−cos²A
B. sin²A+cos²A
C. cos²A−sin²A
D. cosA−sinA
Answer:
C. cos²A−sin²A
Step-by-step explanation:
From the double angle formulas, we know that:
cos (A + B) = cosAcosB - sinAsinB
So, if B = A, then the above equation becomes;
cos(A + A) = cosAcosA - sinAsinA [i.e replacing B with A]
=>cos(2A) = (cosA)² - (sinA)²
=> cos(2A) = cos²A - sin²A
Therefore,
cos(2A) is equivalent to cos²A - sin²A
Answer:
333 in^3
Step-by-step explanation:
Circumference = pi *d
27 = pi*d
Replacing d with 2*r ( 2 times the radius)
27 = pi * 2 * r
Divide each side by 2
27/2 = pi *r
13.5 = pi *r
Divide by pi
13.5/ pi = r
We want to find the volume of a sphere
V = 4/3 pi * r^3
V = 4/3 pi (13.5/pi)^3
= 4/3 pi * (13.5)^3 / (pi^3)
4/3 pi/pi^3 * (13.5)^3
4/3 * 1/ pi^2 *2460.375
3280.5 / pi^2
Let pi be approximated by 3.14
380.5/(3.14)^2
332.7214086 in^3
To the nearest in^3
333 in^3
