Since a equals 2, 2 plus 27 is equal to 29. So your answer is 29. Hope that helped:)
X= 25
Explanation:
The two lines are equal. Since 48+16= 64,
the other line has to equal 64 as well.
64-39= 25
Answer:
m perpendicular = 
Step-by-step explanation:
slope is 3
m = 3
the equation of a perpendicular line to y = 3x - 8 musts have a slope that is negative reciprocal of the original slope
Answer:
Step-by-step explanation:
If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"
Never use 0 as a substitute for θ! 0 is a constant with a specific value.
Since the argument of the trig functions is an expression, you should put parentheses around it: sin(2A).
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I used several trigonometric identities for this question:
Double-angle formula for sine: sin(2θ) = 2sinθcosθ
Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)
Quotient identity: tanθ = sinθ/cosθ
Reciprocal identity: secθ = 1/cosθ
Pythagorean identity: 1+tan²θ = sec²θ
2sin(2θ) - tan(2θ) = 0
2sin(2θ) = tan(2θ)
2·2sinθcosθ = 2tanθ/(1-tan²θ)
2sinθcosθ = tanθ/(1-tan²θ)
2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))
2(1-tan²θ) = 1/cos²θ
2(1-tan²θ) = sec²θ
2-2tan²θ) = 1+tan²θ
1 = 3tan²θ
tan²θ = ⅓
tanθ = ±1/√3
θ = 30°, 330°
Answer:
The toy replica is smaller than the model in the lobby
Step-by-step explanation:
Model in the lobby: 1:103
Toy Replica: 1:200
1:200 < 1:103
1:200 = 1/200
1:300 = 1/300