<em>(2a - 3x - 3y)(2a + 3x + 3y)</em>
- Step-by-step explanation:
<em>Hi there !</em>
use formula
<em>a</em><em>² - </em><em>b</em><em>² = (a - b)(a + b)</em>
<em>a</em><em> = 2a</em>
<em>b</em><em> = 3(x + y)</em>
<em />
<em>4a² - 9(x+y)² =</em>
<em>= [2a - 3(x + y)][2a + 3(x + y)]</em>
<em>= (2a - 3x - 3y)(2a + 3x + 3y)</em>
<em />
<em>Good luck !</em>
Answer:
n = 6
a = 6 mm
r = 5.19615 mm
R = 6 mm
A = 93.53 mm2 times $3 = $280.59
P = 36 mm
x = 120 °
y = 60 °
r = inradius (apothem)
R = circumradius
a = side length
n = number of sides
x = interior angle
y = exterior angle
A = area
P = perimeter
π = pi = 3.14159...
√ = square root
Answer:
WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a ...
Step-by-step explanation:
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
<h3>A.</h3>
The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
<h3>B.</h3>
One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Answer:
114.31 nautical miles per day
Step-by-step explanation:
11431 nautical miles in 100 days
(11431 nautical miles)/(100 days)
To divide by 100, move the decimal point two places left.
(11431 nautical miles)/(100 days) = 114.31 nautical miles per day
