Answer:
Step-by-step explanation:
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Answer:
The similar triangles are 
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are and
Solving (b): Why they are similar
Both triangles are similar because is dilated (i.e. enlarged) and then reflected to give .
Solving (c): Calculate BE and PE
The following are equivalent ratios
and
Solving for BE, we have:
Substitute the known values
Express as fraction
Multiply both sides by 450
-- approximated
Solving for PE, we have:
Substitute known values
Express as fraction
Multiply both sides by 400
Answer:
12/20
Step-by-step explanation:
Answer:
0, ±1, ±7,±1/3, and ±7/3
Step-by-step explanation:
In the function:
3x^5 - 2x² + 7x
x can be extracted as the greatest common factor, as follows:
x(3x^4 - 2x + 7)
then, zero is one root of the function.
According to Rational Root Theorem:
possible rational roots = factors of the constant/factors of the leading coefficient
For this case, factors of the constant (7) are: ±1 and ±7
For this case, factors of the leading coefficient (3) are: ±1 and ±3
Then:
possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3
Answer:
92 sq. inches
Step-by-step explanation:
Total paper required = total surface area
Surface area of a cuboid = 2[(l×b) + (l×h) + (b×h)],
Where 'l' is the length, 'b' is the breadth and 'h' is the height
For the box, total surface area = 2[(8×3) + (3×2) + (8×2)]
=2[24 + 6 + 16]
=2[46]
= 92 sq. inches
