Answer:
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²
Step-by-step explanation:
The picture below is what you are referring to .
The whole area of the shape forms a rectangle. A triangle and a rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .
Area of the rectangle = Lb
where
L = 12 ft
b = 5 ft
area = 12 × 5 = 60 ft²
The cut off triangle area
area = 1/2 × base × height
area = 1/2 × 4 × 3
area = 12/2 = 6 ft²
The cut off rectangle area
area = Lb
area = 3 × 2
area = 6 ft²
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²
Answer:
3/2
Step-by-step explanation:
Y2-Y1
_____
X2-X1
= 5-2
____
-6-(-3)
=3/2
Answer:
Vector equation:
Parametric equations:
Step-by-step explanation:
The line is parallel to the vector 3i + 2j − k.
So the vector of this line is a multiple of this vector, so i will use 6i + 4j - 2k.
The line goes through the point (4, 2.1, 3.1).
So the parametric equations are:
The vector equation is:
Are you solving for x or y
y= 24x x= y/24
Answer: 2 nickels
Rachel has 20 coins composed of nickles, dimes and quarters
amounting to $3.70. Her quarters are twice the number of her dimes, the number
of nickels can be computed as follows:
If X= the number of
dimes at .10 each
Then 2x= the number
of quarters at .25 each and
20-(X-2X)= the number of nickels at .05 each
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The equation will be:
X(.1)+2(X).25+(20-X-2X).10=3.70
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.1X+2X(.25)+(20-X-2X).05=3.70
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.1X+.5X+(20-3X).05=3.70
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<span>
.6X+(1-.15X)=3.70
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<span>
.6X+1-.15X=3.70
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</span>
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<span>
.45X=3.70-1
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.45X=2.70
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</span>
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X=2.70/.45
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<span>
X=6 number of dimes
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</span>
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<span>
2X=12 number of quarters
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</span>
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<span>
20-6-12=2 number of nickels
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</span>
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