Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
Answer:
90
Step-by-step explanation:
Let the starting number be x, the two consecutive numbers after x is gonna be x+1 and x+2.
If the sum of these three numbers is 267 then:
x+(x+1)+(x+2)=267
Solve
3x+3=267
3x=267-3
3x=264
x=264/3
x=88
x+1=89
x+2=90
Your three consecutive numbers are 88, 89, and 90.
The largest one of them is 90.
Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x =
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
Answer:
The distance point between (-10, -7) and (-8, 1) is 6
Step-by-step explanation:
Answer:
0.0X m
Step-by-step explanation:
100 cm = 1 m
According to the question, we have
= 1 m
0.0X = 1 m