2/3 of a pizza is more than half of the pizza.
3/6 = 1/2, so 3/6 of a pizza is exactly half of the pizza.
Given that two pizzas are of different sizes you need to calculate the areas of each pizza and compare them.
Assumming that the two pizzas are circular, you can calculate the area of each pizza from the formula of the area for a circle:
Area of a circle = π * (radius)^2.
Call r the radius of Jake's pizza and R the radius of Al's pizza. Then:
Area of Jake's pizza = π (r^2) and 2/3 of that is: 2π(r^2) / 3.
Area of Al's pizza = π (R^2) and 1/2 of that is π(R^2)/2
So, what you have to do is to use the radius of each pizza, calculate above formulaes and verify whether the results are the same or not.
Newton's cooling model is ΔT = ΔTo * e ^ (-k t)
ΔTo = 200°F - 70°F = 130°F
k = 0.6
t = 2 hours
=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)
ΔT = 39.15°F
ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.
Answer: T = 109 °F
Answer:
3x+4
Step-by-step explanation:
3 dollars per mile = 3x
plus 4 dollars for taxi ride.
Answer:
- a rotation, followed by a translation
- a translation, followed by two reflections
Step-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
- Reflections : Flips a figure across a line of reflection.
- Rotations : Rotates a figure about some degrees around a center point.
- Translations : Moves figure on a plane about some distance in a certain direction.
But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
- a rotation, followed by a translation
- a translation, followed by two reflections
Answer:
F(x) = 3
Step-by-step explanation:
Just substitute x with 1 and you add it with 2 and your answer is three
