Answer:
A lily costs $7 and a geranium $4.
Step-by-step explanation:
From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:
5
g
+
4
l
=
48
4
g
+
6
l
=
58
Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:
20
g
+
16
l
=
192
20
g
+
30
l
=
290
Subtract the first equation from the second gives:
14
l
=
98 which dividing by 14 gives l
=
7
Substituting the value l
=
7 in the first equation gives:
5
g
+
28
=
48
Subtract 20 from both sides gives:
5
g
=
20 divide by 5 gives g
=
4
So, a lily costs $7 and a geranium costs $4.
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
Answer:
50,000 Square Miles.
Step-by-step explanation:
30% = 1/3
30,000/1 * 1/3 = 10,000
10,000 * 5 = 50,000
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Answer:
Step-by-step explanation:
Given
The attached table
This represents an inverse function.
So, we look into x row for its value.
i.e.
Just like (a)
---- by looking into the x rows
So:
