Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
The mean would be 92. Because you add them all up then divide by how many there are
Answer:
63
Step-by-step explanation:
divide, 27 ÷ 3
you'll get 9, so
x = 9
Next part
5y = 35
divide both sides by 5 to isolate y,
5y ÷ 5 = 35 ÷ 5
=
y = 7
So
x = 9 and y = 7
Then let's add the numbers to our equation ( x × y)
9 × 7
=
63
Answer:
hiiii
Step-by-step explanation:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
(Table)
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour. ( equation)
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate. ( Graph)
Answer:
Her son is 10 years old.
Step-by-step explanation:
Let son be x
Ellie is 4x
In 5 years time: Her son = x + 5
Ellie = 4x + 5
Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)
Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15
x = 10
