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:
4.025 x 10^3 = 4025
Step-by-step explanation:
In the given case, as we have the number as 4.025×10^3, we need to move decimal digit to the right by three points. For this, let us write 4.025 as 4.02500 and moving decimal point three points to right means 4025.00
Answer:
36°
Step-by-step explanation:
3+5+8°+10+6= 36°
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em>
Answer:
Step-by-step explanation:
a true
b false
Answer:
Time in which both companies charge same cost = 1.5 hour
Step-by-step explanation:
Given:
Fixed Variable
Premier Landscaping charges $15 $55
Ace Landscaping charges $65
Find:
Time in which both companies charge same cost:
Computation:
Assume in X time both companies charge same cost:
So,
Premier Landscaping total cost = Ace Landscaping total cost
⇒ $15 + $55(Time taken) = $65 (Time taken)
⇒ $15 = $65 (Time taken) - $55(Time taken)
⇒ $15 = $10 (Time taken)
⇒ Time taken = 1.5 hour
Time in which both companies charge same cost = 1.5 hour
