Area of circle = πr²
= 64π
The cord will subtend a semicircle of diameter 8", radius 4". The area of this semicircle:
1/2 πr²
= 0.5 x 4² x π
= 8π
Area of larger region = area of circle - area of semicircle
= 64π - 8π
= 56π inch²
The sum of the interior angles of a triangle is 180°.
Let's suppose that all 3 angles in the ratio are divisible by a value x.
So the three angles become 1x, 2x and 3x.
1x + 2x + 3x = 180°
6x = 180°
x = 30° [ By dividing both sides by 6 ]
Thus the three angles are: 1x = 30° ; 2x = 2*30 = 60° ; 3x = 3*x = 90°
Hence the smallest angle is 30°.
Us girls are disgusted <3
step by step explanation:
Answer:
830 calories
Step-by-step explanation:
The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.
Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:
N α A
=> N = kA
where k = constant of proportionality
A 200 calorie muffin has 500 grams of sugar.
This implies that:
200 = k * 500
=> k = 200 / 500 = 2/5
The constant of proportionality is 2/5.
The number of calories in a muffin with 2075 grams of sugar is:
N = 2/5 * 2075
N = 830 calories
There are 830 calories.
