Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
X% of 4 = x*4/100 = 0.04x
y% of 5 = x*5/100 = 0.05y
x% of 4 + y% of 5 = 0.04x + 0.05y
How you express a number, n, as percentage of 11?: [n/11]*100= 9.10n %
Then make n = 0.04x + 0.05y
9.10n %= 9.10[0.04x + 0.05y] %= (0.3656x + 0.455y)%
.
Answer:
C $540
Step-by-step explanation:
2700 / 10 = 270 = 10%
270 x 2 = 540 = 20%
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