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:
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
Step-by-step explanation:
<u>Use a more precise conversion factor if you need a more precise measurement. 1 g = 0.00220462262 lb. 1 lb = 453.592 g (if you want to convert pounds to grams, multiply number of pounds by 453.592)</u>
Answer:
1184
Step-by-step explanation:
Given :
No. of parts made by machine A in 10 minutes = 7
No. of parts made by machine A in 10*6 minutes (1 hour) = 7 * 6 = 42 parts
No. of parts made by machine A in 12 hours as
required in problem = 42 * 12 = 504
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No. of parts made by machine B in 15 minutes = 17
No. of parts made by machine A in 15*4 =60 minutes (1 hour) = 17 * 4= 68 parts
No. of parts made by machine B in 10 hours as
required in problem = 68 * 10 = 680
______________________________________________________
There fore total no. of parts made by
machine A and machine B on Monday = 680 + 504 = 1184 (Answer)
