Answer:
= 52sqrt3
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
Where a and b are the parallel sides and h is the perpendicular height.
a = 15 ft, b= 11 ft and h = 4√3
Therefore;
Area = 1/2 (15+11) 4√3
= 1/2 × 26 × 4√3
= 52√3 ft²
Answer:
x = - 12
Step-by-step explanation:
2 5
--- x - 2 = --- x
3 6
2x 5
--- - 2 = ------ x
3 3 * 2
(2x) - 3 * 2 5x
---------------- = --------
3 2 * 3
x = - 12
Answer: ![3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Work Shown:
![\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27x%5E%7B6%7Dy%5E%7B4%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%2B3%7Dy%5E%7B3%2B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%7D%2Ax%5E%7B3%7D%2Ay%5E%7B3%7D%2Ay%5E%7B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B2%2A3%7D%2Ay%5E%7B3%7D%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%7D%2A%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
1 and 19, 19 is a prime number.
Answer: log₂
+ 1 = n
<u>Step-by-step explanation:</u>
h(n) = 6 * 2ⁿ⁻¹
<u> ÷6 </u> <u>÷6 </u>
= 2ⁿ⁻¹
log₂
= log₂(2ⁿ⁻¹) →→<em>log₂2 cancels out</em>
log₂
= n - 1
log₂
= n