There is a 1/2 chance of landing heads.
There is a 3/6 or 1/2 chance of landing on an even number (2,4, or 6)
1/2*1/2= 1/4
The probability of landing heads and an even number is 1/4.
The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have shown a square in which a one-fourth circle is shown and making an ellipse.
The perimeter of the circle = 2πr = 2π(8) = 16π cm
The perimeter of the one-fourth is circle = (16π)/4 = 4π cm
The perimeter of 2 one-fourth circle = 2(4π) = 8π cm
The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm
The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm
The area of the shaded region = 2(16π - 32) = 36.53 square cm
or
= 32(π - 2)cm²
Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
Learn more about circle here:
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Answer:
4000 sq inches
Step-by-step explanation:
A rectangle is given with sides 82 and 46 inches
We have to round off these dimensions to the nearest 10.
82 inches ~80 inches since 2 <5, we make it 0
Similarly 46 inches ~50 inches since 6>5
Now area
= length x width
=80(50)
=4000 square inches
Option 2 4000 sq inches is correct answer.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
The image below shows the graph f(x) = |x| – 4
<em>Hope this helps! </em>:)
