Answer:
#4=10.5
#5=48
Step-by-step explanation:
The formula for the triangle for area is 1/2 time base times hight
The forumale fot the triangle for volume is 1/2 time base times hight
So for number #4 it will be 1/2 x 3 x 7
and number #5, it will be 1/2 x 8 x 12
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
Okay, so since the discount is 60% of the price and it comes out to $2.8, we are going to form the following expression, where x is the original price.
60% of x = 2.8
Simply means: 60/100 * x = 2.8
You solve for x, which comes out to $4, which is your original price.
