What is the approximate area of the garden?
1 answer:
Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
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in
Step-by-step explanation:
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The formula to find the circumference (perimeter) of a circle: , where
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1) To find the circumference of the circle, we need to find the radius () first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
Cancel the by bringing it to the other side.
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Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.