Answer:
In order to calculate perimeter, you need to add together the lengths of all four sides of the square. You are given the length of one side. Remember, all sides of a square are equal, so really you already have the measures of each side. Then, you add them together, so 6 + 6 + 6 + 6 = 24 inches.
Step-by-step explanation:
Answer:
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Step-by-step explanation:
In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.
volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³
volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7
G(-2) = 8 + 5(2)
= 8 - 10
= - 2
