Answer:
minutes
Step-by-step explanation:
Let's find unit rate of each.
<u>Jada</u>
2 scoop in 5 minutes
So,
1 scoop in 5/2 = 2.5 minutes
<u>Noah</u>
3 scoop in 5 minutes
So,
1 scoop in 5/3 = 1.25 minutes
These are the times. Time and rate are inverses of each other. So the rates of each is:
Jada = 1/2.5 = 0.4
Noah = 1/1.25 = 0.8
Working together, we add the rates and find the time:
(0.4+0.8)*t = 1
1.2t = 1
t = 1/1.2 = minutes
So, they take minutes to eat one scoop, working together
The answer:
the valid proof is <span>Amanda's.
</span><span>Statement Justification ∠1 + ∠4 = 180°
Definition of Supplementary
Angles ∠3 + ∠4 = 180°
Definition of Supplementary Angles
∠1 + ∠4 = ∠3 + ∠4
Transitive Property of Equality ∠1 ≅ ∠3 </span>
Answer:
0.5385
-or-
7/13, 14/26, 21/39, 28/52, 35/65, 42/78, 49/91, 56/104, 63/117, 70/130, 77/143, 84/156
Answer:
≈ 18.3 m²
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of sector - area of right triangle
area of sector = area of circle × fraction of circle
A = πr² ×
= π × 8² × = 64π × = 16π m²
area of triangle = × 8 × 8 = 4 × 8 = 32 m²
shaded area is then
A = 16π - 32 ≈ 18.3 m² ( to the nearest tenth )