The answer is no solution because when you solve the equation
3(x+4)=3x+4
3x +12=3x +4
-3x -3x
You get an answer of 12=4 which is not true so there cannot be a solution to this equation
The answer is A no solution
Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m
Volume of a pentagonal pyramid
<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>
= 100 m</span>³<span>
</span>
What equation shows the relationship between total kilometers traveled (m), time spent traveling (t), and the plane's speed (s)?
m = t * s
3,4,5,6,7.....
re-arrange : 76,534...this would be the largest 5 digit even number with the hundreds place having a 5 in it
Step-by-step explanation:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ)
Multiply by the reciprocal:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)
(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]
(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]
Distribute and simplify:
(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)
[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)
(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)
Use Pythagorean identity:
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)
(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)
Factor:
(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))
(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))
(1 + sin θ) / cos θ
