Step-by-step explanation:
we can find the length of other side by hypotenuse formula,
which is h² = a² + b²
so,
a = 157
b = 168
now after inserting the values we got,
→ h² = (157)² + (168)²
→ h = 24649 + 28224
→ h = 52,873
→ h² = √52873 = 229.94
so, length of other side is 229.94
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>!</em><em> </em><em>take </em><em>care</em><em> </em><em>and </em><em>may</em><em> u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> </em><em>ahead!</em>
Answer:
17
Step-by-step explanation:
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>
If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with
).
