Answer: 5/8
Step-by-step explanation: When multiplying two fractions together, always try to cross-cancel if possible as your first step.
In this problem the 3 and 6 reduce to 1 and 2.
Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 5/8.
Step-by-step explanation:
(i) Use law of cosine:
c² = a² + b² − 2ab cos C
c² = (√3 − 1)² + (√3 + 1)² − 2(√3 − 1)(√3 + 1) cos 60°
c² = 3 − 2√3 + 1 + 3 + 2√3 + 1 − 2(3 − 1) (½)
c² = 6
c = √6
(ii) Use law of sines:
a / sin A = c / sin C
(√3 − 1) / sin A = √6 / (½√3)
(√3 − 1) / sin A = 2√2
½ (√3 − 1) = √2 sin A
½ (√6 − √2) = 2 sin A
¼ (√6 − √2) = sin A
Use a calculator:
A = 15°
(iii) Use SAS area:
A = ½ ab sin C
A = ½ (√3 − 1) (√3 + 1) sin 60°
A = ½ (3 − 1) (½√3)
A = ½√3
Answer:
I do not know but u try hard
Isolate the q. Note the equal sign. What you do to one side, you do to the other.
Subtract 4 from both sides
8q + 4 (-4) = 20 (-4)
8q = 20 - 4
8q = 16
Next, divide 8 from both sides to isolate the q
8q/8 = 16/8
q = 16/8
q = 2
q = 2 is your answer
hope this helps
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
