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.
6000=2560(1+0.052)^t
Solve for t
t=log(6,000÷2,560)÷log(1+0.052)
t=16.8 years
Answer:
Choice B, 10 inch pizza to himself
Step-by-step explanation:
1. Half of 16 inch pizza= 8 inch
2. 10 inch pizza to himself= well, 10 inch
10>8
Answer:
3 > x
Step-by-step explanation:
0>3x-3-6
Combine like terms
0>3x-9
Add 9 to each side
0+9>3x-9+9
9 > 3x
Divide each side by 3
9/3 > 3x/3
3 > x
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price