Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
First transformation is to be done,
Reflection of the points across x-axis
,
Rule for the transformation,
(x, y) → (x, -y)
Following this rule,
Q(1, 3) → Q"(1, -3)
R(3, -3) → R"(3, 3)
S(0, -2) → S"(0, 2)
T(-2, 1) → T"(-2, -1)
Further these points have been translated by 1 unit left and 2 units up
,
Rule for the translation given,
(x, y) → (x - 1, y + 2)
Q"(1, -3) → Q'(0, 4)
R"(3, 3) → R'(2, 5)
S"(0, 2) → S'(-1, 4)
T"(-2, -1) → T'(-3, 1)
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Just divide the price by the number of persons to find the price per person.
120/50=2.40
The cake costs $2.40 per person.