Answer:
The surface area is 552 square cm.
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f′(x)=2∗(8x(2−1))+1∗11x(1−1)
which is
f′(x)=16x+11
then let
x = 7 gives us
f′(7)=123
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<span>Hope my answer would be a great help for you. </span> </span>
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Answer:
<h2>
$31,745</h2>
Step-by-step explanation:
Compound continuously:
FVn = PV x e^rn
where
PV = $20,000
r = 3.85%
n = 12 years
plugin values into the formula:
FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾
FV₁₂ = $31,745
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
