Answer:
- a = 1.11
- B = 105.4°
- c = 2.95
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
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The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95
Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
Answer:
Step-by-step explanation:
You can multiply the numerator and denominator by 2
(4.5/5.5)(2/2)=9/11
Subtract 5 from both sides.
Subtract 8n from both sides.
Divide both sides by -9 to solve for n.
The value of n is
-4/9.
Answer:
The answer is $1.70
Step-by-step explanation:
If 6 plums are $1.50 you would divide $1.50 by 6 to get the unit cost, $.25. Then you do the same thing for the apples. $3.00 divided by the 5 apples is $.60. Now you need to multiply both unit costs by 2 then add them together to get $1.70
(plums) $1.50 / 6 = .25
(apples) $3.00 / 5 = .60
(plums) .25 x 2 = .50
(apples) .60 x 2 = $1.20
$1.20 + .50 = $1.70
Hopefully I could help!!
