4/x³ - (2x-1)/3x
= (4*3) - (2x-1)(x²) / 3x³
= (12 - 2x³ - x²) / 3x³
= -2x³ -x² + 12 / 3x³
The answer is C.
Hope it helps!
Answer:
See below
Step-by-step explanation:
![\sqrt[3]{49} = 3.65930571002 \approx3.66 \\ \\ so \: \sqrt[3]{49} should \: lie \: at \: 3.6 \: which \: \\ fall \: between \: 3 \: and \: 4.](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B49%7D%20%20%3D%203.65930571002%20%5Capprox3.66%20%5C%5C%20%20%5C%5C%20so%20%5C%3A%20%20%5Csqrt%5B3%5D%7B49%7D%20should%20%5C%3A%20lie%20%5C%3A%20at%20%5C%3A%203.6%20%5C%3A%20which%20%5C%3A%20%20%5C%5C%20fall%20%5C%3A%20between%20%5C%3A%203%20%5C%3A%20and%20%5C%3A%204.)
Actually Lin did a mistake, she obtained square root and not cube root.
Answer:
900 sq ft
Step-by-step explanation:
The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...
(30+60)20/2
90*20/2
1800/2
900 sq ft
Split the surface area into geometric shapes as shown in the figure below.
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
27x6x60=9,720 *You can use mental math by multiplying 27 by 6 and adding the 2 zeros to the end of the product*