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Required Perimeter = AB + BC + CA
AB = sqrt((5 - (-1))^2 + (-1 - 1)^2) = sqrt(6^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 6.3
BC = sqrt((-1 - 0)^2 + (1 - (-3))^2) = sqrt((-1)^2 + 4^2) = sqrt(1 + 16) = sqrt(17) = 4.1
CA = sqrt((0 - 5)^2 + (-3 - (-1))^2) = sqrt((-5)^2 + (-2)^2) = sqrt(25 + 4) = sqrt(29) = 5.4
Perimeter = 6.3 + 4.1 + 5.4 = 15.8 units
Answer:
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Step-by-step explanation:
Let drink = x ; hot dog = y
3x + 2y = 7.70 - - (1)
2x + y = 4.55 - - - (2)
From (2)
y = 4.55 - 2x - - - (3)
Put y = 4.55 - 2x in (1)
3x + 2(4.55 - 2x) = 7.70
3x + 9.1 - 4x = 7.70
-x = 7.7 - 9.1
-x = - 1.4
x = 1.4
Put x = 1.4 in (3)
y = 4.55 - 2(1.4)
y = 4.55 - 2.8
y = 1.75
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Step-by-step explanation:
240 miles = 9 gallons of gas
1 mile = 9/240
= 3/80 (0.0375) gallons of gas
216 miles = 3/80 (0.0375) × 216
= 8.1 gallons of gas
Answer:
The expression that can be used to represent the volume of the trapezoidal prism is 
Step-by-step explanation:
step 1
Find the area of the trapezoidal base
The area of a trapezoid is given by the formula
we have
substitute
step 2
Find the volume of the trapezoidal prism
we know that
The volume of the prim is given by
where
B is the area of the base
H is the height of the prism
we have
substitute
therefore
The expression that can be used to represent the volume of the trapezoidal prism is
