Answer:
The lateral area will be "381 yd²". A further solution is provided below.
Step-by-step explanation:
The given values are:
Radius of cone,
r = 10 yd
Height of cone,
L = 12.1 yd
As we know,
The lateral surface area of cone is:
=
On substituting the values, we get
=
=
=
0r,
=
Answer: (a) y = -3x + 10
<u>Step-by-step explanation:</u>
The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.
Step 1: Find the slope of OB using the formula:
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)
Step 2: Find the slope of CD (opposite and reciprocal of OB)
Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)
(x₁, y₁) = (3, 1) because it is the point the line will pass through
y - 1 = -3(x - 3)
y - 1 = -3x + 9 <em>distributed -3 into (x - 3)</em>
y = -3x + 10 <em>added 1 to both sides</em>
***********************************************************************
The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0
y = -3x + 10
0 = -3x + 10
-10 = -3x subtracted 10 from both sides
<em>divided both sides by -3</em>
