Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>
Question 10: P=28cm
if l=8 and w=6
Then (8+6)=14
2(14) so 14x2 = 28
So therefore P=28cm
Answer:
See below ~
Step-by-step explanation:
Finding t₁₂ :
⇒ t₁₂ = t₁ + 11d
⇒ t₁₂ = 6 + 11(2)
⇒ t₁₂ = 6 + 22
⇒ t₁₂ = 28
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Finding S₁₂ :
⇒ S₁₂ = 12/2 × 2t₁ + (12 - 1)d
⇒ S₁₂ = 6 × 2(6) + 11(2)
⇒ S₁₂ = 6 × 12 + 22
⇒ S₁₂ = 6 × 34
⇒ S₁₂ = 204
Answer:
153 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)bh
where b is the base length, and h is the height measured perpendicular to the base.
The diagram shows b = QR = 18 cm, and h = 17 cm. So, the area is ...
A = (1/2)(18 cm)(17 cm)
A = 153 cm²
Answer:
Step-by-step explanation:
The Law of Sines is
Filling in what we are given:
Cross multiply to get
and divide to solve for side c:
which gives you that
c = 8.45
We know that angle B has to be the difference between 180 and angle A and angle C, so
angle B = 51
Now we can solve for side b:
and
and
b = 21.03
