To obtain the equation for an elliptical region, we divide the boundary curve equation by 36, which gives us:
<span>[9x^2 + 4y^2 = 36] / 36
(x^2)/4 + (y^2)/9 = 1
Since the given cross-sections are isosceles right triangles, the hypotenuse is found on the base. Using trigonometric functions, the hypotenuse is found to be 6 * sqrt(1 - (x^2)/4). The cross-sectional area is then found to be 9 (1 - (x^2)/4).
With the cross-section, we integrate it with limits of -2 to 2 in terms of x to find the volume. This is shown below:
</span><span>
∫ </span>9 (1 - (x^2)/4<span>) dx (-2,2) = 24
Therefore, the volume is 24 units^3.</span>
He will need 6 tenth size strips because if you put 3/5 vertically with another fraction beside of it that had the numerator blank and the bottom 10. You do this because Jeff uses fifth size strips so 5 represents the strips and you need tenth size strips so you find our numerator for the tenth size strips. You find out how many times 5 can go into 10 or 5 times what equals 10 and it's 2. So whatever you do to the bottom you do to the top. You times 5 by 2 at the bottom and get 10 for the tenth size strips and 3 times 2 at the top yoi get 6 and that is 6/10 is your answer
Answer:
Five is taken away
Step-by-step explanation:
First add all the watermelon weights together (to add the fourths and the eighths multiply the fourths by 2 (1/4x2=2/8) and add the numerators). Then multiply the number of people (153) by how much they each ate (1/4). Then subtract the total amount eaten (38 1/4) from the total weight (46 3/4) and compare that with 8 1/2... The left overs are actually equal to 8 1/2 pounds :)
Find the total capacity of 25 containers of cranberry juice is each bottle holds 5/4 one pant 60Z