Three important properties of the diagonals of a rhombus that we need for this problem are: 
1. the diagonals of a rhombus bisect each other 
2. the diagonals form two perpendicular lines 
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.



Similarly, we have



Now, to find the lengths of the diagonals, 


So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
 
        
        
        
Answer:
1 whole and 1 over 12
Step-by-step explanation:
 
        
                    
             
        
        
        
5 x 3 = 15 + 1 = 16 feet
16 x 8 = 128 feet
128 / 3 = 42 yards 2 feet
Hope this helps!! :)
 
        
             
        
        
        
Answer:
57 °C.
Step-by-step explanation:
The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :
 ...(1)
 ...(1)
If T = 134° F, we need to convert the temperature in Celsius.
Put F = 134, in equation (1)

So, the temperature on that day is 57 °C.