Step-by-step explanation:
1 m = 3.280839895... ft
therefore,
1 m² = 10.76391042... ft²
35 m² = 35 × 10.76391042... ft² =
= 376.7368646... ft²
the area of the circle is
pi×r²
r = 50/2 = 25 ft
so, the area of the red circle is
pi×25² = pi×625 = 1,963.495408... ft²
we need to paint it twice, so the area to be painted is twice the area of the circle
2×pi×625 = 3,926.990817... ft²
we need a many cans as the cover area of a single can fits into the total area to be painted :
3,926.990817... / 376.7368646... = 10.42369671... cans
we need to round this up to full cans.
so, we need 11 cans of red paint to give that red pad 2 coats of paint.
The formula for finding circumference is C=2*pi*r. So C is the circumference that you are trying to find. Pi is 3.14. And r is the radius. Now, it does not tell you directly what the radius is, but the diameter of a circle is basically how far across is it. So in this case, 14. The radius of a circle is half of it's diameter, so half of 14 is 7. So, multiply 2*3.14*7, to get the circumference. You get 43.96.
Answer:
x = 6
Step-by-step explanation:
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Answer:
1/3 x 1/7
Step-by-step explanation:
when dividing fraction you take the reciprocal of the divisor and multiply.
