Answer:
see explanation
Step-by-step explanation:
We require to find the slope m of the line joining the 2 given points
To find m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,3) and (x₂, y₂ ) = (1, - 2)
m = = = 5
Given a line with slope m then the slope of a line perpendicular to it is
= - = -
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ), thus
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (- 3, 2) into the partial equation
2 = + c ⇒ c =
y = - x + ← perpendicular equation
-5 (x - 3)= 30 ....x=3 is not a solution
-5(x - 3)= 30 -5x +15
(Two minus’ would cancel each other out)
If x =3 then the equation would be -15 +15 which equals 0 x would have to be -3 for the equation to be true
We have to find the volume of oblique cone. An oblique cone is a special type of cone in which the apex is not located directly above the center of the circular base, so it looks like a slanted cone.
Volume of oblique cone =
where 'r' is the radius and 'h' is the height.
Here r = 6 cm and h = 10 cm
Volume =
=
=
So, the volume of the given oblique cone is .
Option 4 is the correct answer.
Answer:
2nd choice down
$929.84
Step-by-step explanation:
3.19*36=114.85
114.84+815=929.84
Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed