Answer:
A =72 in^2
When dilated
=1152 in ^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
We need to convert the units to match
2 ft= 24 inches
A = 1/2 ( 24*6)
A = 1/2 (144)
A =72 in^2
When dilated 6 inches *4 = 24 inches
24 inches *4 = 96 inches
A = 1/2 ( 96*24)
= 1/2(2304)
=1152 in ^2
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer:
√3
Step-by-step explanation:
This is a 30-60-90 triangle, in which the side measurements will follow the rule of 1, √3 , 2.
Remember, the smallest side is the one opposite the 30° angle (1), while the hypotenuse is the one opposite the 90° (2).
In this case, the given smallest side measurement is 1. This means that q is 1 x √3 = √3.
√3 is your answer.
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