Answer:
Step-by-step explanation:

Answer: <u>96</u> sq ft.
Step-by-step explanation:
First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.
A = L * W
A = (10 ft) * (3 ft)
A = 30 ft²
30 ft² * 3 = 90 ft²
Next, we will find the area of the two triangles.
A = 
A = 
3 ft + 3 ft = 6 ft²
Lastly, we will add them together for the total surface area.
90 ft² + 6 ft² = 96 ft²
Answer:
a) 235.62in³
b) 904.78in³
Step-by-step explanation:
a) The formula to find the volume of a cylinder is:

We are given that r = 5 and h = 3, so we can just plug in and solve:

b) The formula to find the volume of a sphere is:

We are given that the diameter is 12in, which means that the radius (r) must be 6in (half the diameter). Now, we can plug in and solve:

Answer:
Option D :- ![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B648%20%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B8%7D%20%7D)
transform the equation
![\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%20%20%5Ctimes%20%20%7B3x%7D%5E%7B2%7D%20%20%20%5Ctimes%20%20%20%7Bxy%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B2%7D%20%7D)
rewrite the expression
![\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%7D%20%20%5Ctimes%5Csqrt%5B3%5D%7B%20%20%7B3x%7D%5E%7B2%7D%7D%20%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7Bxy%7D%5E%7B6%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B%7By%7D%5E%7B2%7D%20%7D)
Simplify the radical expression
![\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%20%7B6xy%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B3xy%20%7B%7D%5E%7B2%7D%20%7D)
Multiply
![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Answer:
For every 4 grams there are 3 cashews.
12g=9. So that means there are 18 cashews in 24 grams. And like we said, there are 3 cashews in every 4 grams. So there are 21 cashews for 161 cals, equating to 28g.