Answer:
r = ( q -16)/6
Step-by-step explanation:
In order to rearrange the equation so that r is the independent variable is the same thing as making r the subject of the formula from the given expression
q-10= 6(r+1)
we say,
q - 10 = 6r + 6 ( by using 6 to open the bracket)
we are going to collect the like terms
q- 6r = 6 + 10
q- 6r = 16
q = 16 + 6r
q-16 = 6r
divide both sides by the coefficient of r which is 6
(q-16)/6 = 6r/6
r = ( q -16)/6
Answer:
(45%) 0.45, 11/20 (0.55) and 0.6
Step-by-step explanation:
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
Bob has 2/3 of a pecan pie. His friends gave him 4 times as much pecan pie as he had before. How much pecan pie does he have now?
Answer:A
Step-by-step explanation:
