4. 19.8
56/4=14
Diagonal of a square is equal to one side multiplied by the square root of two.
Therefore, it is 19.8, being that square root is (in super simple rounding) 1.5.
Answer:
Length of ribbon = 40.86 inches
Step-by-step explanation:
Length of the ribbon = circumference of the dish = πD
D = diameter = 13 inches
Length of ribbon = 22/7 x 13 = 40.857143 inches
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: 
We factorize:

Therefore, the missing number that will complete the factorization is 6.
Answer:
The heights are the same after 4 hours.
Step-by-step explanation:
The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.
The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.
You need to find the time, t, when their heights are equal.
8 - (7/10)t = 6 - (1/5)t
Multiply both sides by 10 (the LCD).
80 - 7t = 60 - 2t
-5t = -20
t = 4
The heights are the same after 4 hours.
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: 
AB=
units
BC=
units
AC=
units
Pythagoras theorem:


Therefore, 
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by

Hence, the circum-center of triangle is (2,1).