To find the unit rate, all we need to do is divide $22.68 by 12
22.68 ÷ 12 = 1.89
Therefore, each gallon of gas costs $1.89
Hope this helps you
-AaronWiseIsBae :)
Answer: The dimensions are: " 1.5 mi. × ³⁄₁₀ mi. " .
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{ length = 1.5 mi. ; width = ³⁄₁₀ mi. } .
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Explanation:
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Area of a rectangle:
A = L * w ;
in which: A = Area = (9/20) mi.² ,
L = Length = ?
w = width = (1/5)*L = (L/5) = ?
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A = L * w ; we want to find the dimensions; that is, the values for
"Length (L)" and "width (w)" ;
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Plug in our given values:
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(9/20) mi.² = L * (L/5) ; in which: "w = L/5" ;
→ (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;
↔ L² / 5 = 9/20 ;
→ (L² * ? / 5 * ?) = 9/20 ?
→ 20÷5 = 4 ; so; L² *4 = 9 ;
↔ 4 L² = 9 ;
→ Divide EACH side of the equation by "4" ;
→ (4 L²) / 4 = 9/4 ;
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to get: → L² = 9/4 ;
Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
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→ ⁺√(L²) = ⁺√(9/4) ;
→ L = (√9) / (√4) ;
→ L = 3/2 ;
→ w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
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Let us check our answers:
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(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??
→ (3/2)mi. * (3/10)mi. = (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
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So the dimensions are:
Length = (3/2) mi. ; write as: 1.5 mi.
width = ³⁄₁₀ mi.
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or; write as: " 1.5 mi. × ³⁄₁₀ mi. " .
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Well, the X component (assuming x is the horizontal) is equal to RCosZ
Where Z is the angle and R is the size of the resultant
Substitute into formula :
X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)
The vertical component (or Y component) is equal to RSinZ
Vertical component = RSinZ
= 4.24264... × Sin135°
= 3
The answer is 3
Please feel free to ask any questions you have
Answer:
Here,
x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)
or,x+3x + 25° + 95° + 80° =360°
or,4x + 200 = 360°
or,4x = 360 - 200
or,4x = 160
or,x = 160÷4
or,x = 40
Now,
Angle K = (x + 25)° = 40 + 25° = 65°
Angle L = 3x° = 3 × 40° = 120°
Answer:
Nominal Interest rate=11.9%
Step-by-step explanations:
The Fisher effect is a theory propounded by an economist named Irving Fisher.
Fisher's equation shows the relationship between real Interest rate, expected inflation rate and nominal Interest rate.
It can be calculated by subtracting the expected inflation rate from the nominal Interest rate to give the real Interest rate.
Real Interest rate= nominal Interest rate - expected inflation rate
Given,
Real Interest rate= 4.4%=0.044
Expected inflation rate=7.5%=0.075
Nominal Interest rate=?
Therefore,
Real Interest rate=nominal Interest rate - expected inflation rate
Nominal Interest rate=Real Interest rate+expected inflation rate
Nominal Interest rate=0.044+0.075
Nominal Interest rate=0.119
Nominal Interest rate=11.9%
