The coordinates of Q are (-1,6)
Further Explanation:
Given points are:
The formula for mid-pint is:
The coordinates of Q are (-1,6)
Keywords: Coordinate geometry, mid-point
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Answer:
Step-by-step explanation:
a) ∠ABD + ∠DBC = 90°
4x - 3 + 7x - 6 = 90
4x + 7x - 3 - 6 = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 99/11
x = 9
∠ABD = 4*9 - 3 = 36 - 3 = 33
$99.50 * 0.95 = $94.53
$99.50 - $94.53 = $4.97
Answer:
e. 1.6π cm²
Step-by-step explanation:
Since the window is in a semi-circular shape, its area A = πD²/4 ÷ 2 = πD²/8 where D = diameter of window = 64 cm
Now, the error in the area dA = dA/dD × dD where dD = error in the diameter = 0.1 cm and dA/dD = derivative of A with respect to D.
So, dA/dD = d(πD²/8)/dD = 2 × πD/8 = πD/4
So, the differential dA = dA/dD × dD
dA = πD/4 × dD
Substituting D = 64 cm and dD = 0.1 cm into the equation, we have
dA = πD/4 × dD
dA = π × 64 cm/4 × 0.1 cm
dA = π × 16 cm × 0.1 cm
dA = π × 1.6 cm²
dA = 1.6π cm²
So, the maximum error in computing the area of the window is 1.6π cm²
