Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
The answer to 17892•36 is 644,112
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
10 grams or 0.010kg
Step-by-step explanation:
The mass of the bag used to make flour is 2.26 kg = 2260 grams
Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.
Therefore: 
We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.
Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.
Note: 2260 -2250 = 10 grams.
Subtract, in order to find how many you have left.
Hope this helps.
