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.
I believe the unit rate is 3.6 feet in 1 year. Hope this helps!! :) Need anything else just ask!
Answer:
3. Correlation coefficients can be represented by the variable r
Step-by-step explanation:
Correlation coefficients show if there is a strong or weak positive or negative relationship, or if there is no relationship between the variables.
Correlation coefficients are negative when the relationship is inversely proportional and positive when the relationship is proportional.
Correlation coefficients can be any value less than or equal to 1 or greater than or equal to -1.
Answer:
I think it is $139.30. But I'm not 100% sure
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
y = 1/2x - 1/3
This is written in the form y = mx+b where m is the slope and b is the y intercept.
The slope is 1/2 and the y intercept is -1/3
