Amount of pizza eaten by Charlie.
7/6× 22/7 × (101/2)² =9350.91667
Amount of pizza eaten by Julie
5/12 × 22/7 × 90.5² = 10725.3273
Answer = Julie
Answer: 57.1 (rounded)
Step-by-step explanation:
Area of triangle formula: 1/2 x base x height
Area of a semicircle: 1/2 x pi x r^2
(1/2 x 8 x 8) + (1/2 x pi x 4^2)
= 57.1 (rounded)
Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs
and
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore,
= 50°
Similarly
= 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since
°



Therefore, measure of arc EH = 130°
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4