Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 6² ×
= 36π ×
= 18 ×
= 2 × 4π
= 8π
≈ 25.1 cm² ( to the nearest tenth )
Identify the resulting probability as theoretical or experimental. The outcomes for rolling a number cube with faces labeled
1 answer:
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The amount of blue paint in each container is .
Further explanation:
The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.
So, the amount of blue paint is calculated as,
Therefore, the total amount of paint mixture is the sum of blue paint and red paint.
Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,
Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is .
Now, as it is known that the fraction of blue paint to the total paint is and the amount of paint in a container is
then the blue paint in one container is calculated as,
Thus, the amount of blue paint in each of the five containers is .
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Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Mixtures and ratios
Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.