Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
Answer:
Step-by-step explanation:
Um
Answer:
POINTSSSSSSS
Step-by-step explanation:
THXXXXX
Answer:
£15.7
Step-by-step explanation:
32 cans x 50P = 1600p
1600p to Pounds = £26.66 (1600 divided by 60)
Remaining cans = 18 (50 - 32)
18 cans x 20p = 360p
360p to Pounds = £6 (360 divided by 60)
£26.66 + £6 = £32.66
£32.66 (Profit) - £17 (Cost of cans) = £15.66
15.66 to 3SF = 15.7
Answer:
Linear: y = x, y = x/2 - 3, 3x + 2 = 12
Nonlinear: y = 6/x - 2, y = 3x^3 + 5
Step-by-step explanation:
Linear functions form straight lines while nonlinear functions do not.