Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
Solving further, we have
Divide both sides by 2
Take Square root of both sides
Reorder
Now, the value of L can be calculated by substituting 12.73 for D
(Approximated)
Hence, the length of the sides of the square is approximately 9.0015
Standard deviation I think
Answer:
Step-by-step explanation:
Juice squeezed from first orange = 
= 0.235
Juice squeezed from second orange = 
= 0.3
Juice squeezed from third orange = 
= 0.45
Juice squeezed from fourth orange = 
= 0.27
Juice squeezed from fifth orange = 
= 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275
Therefore, to make it 2 cups of orange juice for the family, about cups of more juice is required.
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
