Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
The expression is not equivalent to 
.
<h2>Polynomial</h2>
An expression of more than two algebraic terms, basically sums of terms and variables of power n.
<h2>Given</h2>
<h2>Step by step explanation</h2>
Then the expression is not equivalent to .
Thus, the expression is not equivalent to .
More about the polynomial link is given below.
brainly.com/question/17822016
Answer: f'(x) = 12x + 48x³ - 48x⁵
<u>Step-by-step explanation:</u>
f(x) = (1 - 2x²)³
= (1 - 2x²)(1 - 4x² + 4x⁴)
1 - 4x² + 4x⁴
<u> -2x² + 8x⁴ - 8x⁶</u>
= 1 - 6x² + 12x⁴ - 8x⁶
f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹
= 12x + 48x³ - 48x⁵
Answer:
The circumference of the circle is 5π
Step-by-step explanation:
First we need to calculate the diameter
for this we have to know the distance between A(1, 3) and B(4, 7)
X = Xb - Xa
X = 4 - 1
X = 3
Y = Yb - Ya
Y = 7 - 3
Y = 4
b - a = (3 , 4)
now that we have the distance of x and r we can calculate its distance using Pythagoras
h = hypotenuse
x = leg 1 = 3
y = leg 2 = 4
h² = x² + y²
we replace the known values
h² = (3)² + (4)²
h² = 9 + 16
h² = 25
h = √25
h = 5
The diameter of the circle is 5
Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:
c = circumference
d = diameter = 5
π = pi
c = π * d
we replace with the known values
c = 5 * π
c = 5π
The circumference of the circle is 5π
Answer:
Explanation:
<u>1. Given equation:</u>
<u>2. Given intensity:</u>
<u>3. Decibels</u>
