The formula for the area of a triangle is A=1/2bh
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
Sin2α = 2SinαCosα.
Cos2α = (Cosα)^2 - (Sinα)^2.
Sin4α can be written as Sin2(2α).
Similarly Cos4α can be written as Cos2(2α).
It is given that tanα=3.
Sinα(Sinα) = [], the values either be both positive or both negative, as the value of tanα is positive only on first and third quadrant.
Sin4α = .
Cos4α =
One equals 48 and the other 132
Answer:
Option D. {7 + i√71 / 20, 7 – i√71 / 20}
Step-by-step explanation:
10m² – 7m + 3 = 0
Using formula method, the solution to equation can be obtained as follow:
10m² – 7m + 3 = 0
Coefficient of m² (a) = 10
Coefficient of –7m (b) = –7
Constant (c) = 3
m = –b ±√(b² – 4ac) / 2a
= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10
= 7 ±√(49 – 120) / 20
= 7 ±√(–71) / 20
Recall:
–17 = –1 × 17
Thus,
7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20
Recall:
√–1 = i
Thus,
7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20
= 7 + i√71 / 20 or 7 – i√71 / 20
Therefore, the solutions to the equation are:
{7 + i√71 / 20, 7 – i√71 / 20}
Answer:
Step-by-step explanation:
Two possible patters of sitting:
⇒
⇒
⇒ Three ways can be used to seat each set of three people, for a total of six.
⇒ There are two groups
2 × 3 = 6 (ways in six groups.)
*The two options can be distributed in two groups.
⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.