Step-by-step explanation:
here's the solution: -
if the given triangles are similar, then their corresponding sides will be in proportion, so
=》
( by cross multiplication )
=》
=》
=》
=》
=》
Answer:
$25.00
Step-by-step explanation:
You already know that $85 is an additional fee added to the monthly fees.
So, you first have to subtract 85 from $685 to get the total amount of monthly fees paid over 2 years.
685-85= 600
So, you can conclude that $600 is the total amount of monthly fees paid.
Now, you want to divide 600 by (the number of months in 2 years) to get the amount of monthly fees.
Since there is 24 months in 2 years you do:
600/ 24 which equals 25.
In conclusion, you can find that the monthly fee is $25.00.
Area of triangle = 1/2 ab sin c
Area of triangle = 1/2 (9.2)(11.9) sin (27)
Area of triangle = 24.85 ft²
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Answer: Area - 24.85 ft²
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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
