Answer:
![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
We will be using 2 properties of radicals in this simplification (outlined below).
<em>Let's simplify this:</em>
![2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3} \\=\sqrt{3}](https://tex.z-dn.net/?f=2%5Csqrt%7B27%7D%20%2B%5Csqrt%7B12%7D%20-3%5Csqrt%7B3%7D-2%5Csqrt%7B12%7D%5C%5C%20%3D2%5Csqrt%7B9%2A3%7D%2B%5Csqrt%7B4%2A3%7D%20-3%5Csqrt%7B3%7D-2%5Csqrt%7B4%2A3%7D%20%5C%5C%3D2%5Csqrt%7B9%7D%20%5Csqrt%7B3%7D%20%2B%5Csqrt%7B4%7D%20%5Csqrt%7B3%7D-3%5Csqrt%7B3%7D-2%5Csqrt%7B4%7D%20%5Csqrt%7B3%7D%20%5C%5C%3D2%283%29%5Csqrt%7B3%7D%2B%282%29%5Csqrt%7B3%7D%20-3%5Csqrt%7B3%7D-2%282%29%5Csqrt%7B3%7D%20%5C%5C%20%3D6%5Csqrt%7B3%7D%20%2B2%5Csqrt%7B3%7D-3%5Csqrt%7B3%7D-4%5Csqrt%7B3%7D%20%20%5C%5C%3D%5Csqrt%7B3%7D)
First answer choice is right.
Answer:
Step-by-step explanation:
Area = 1/2 b h
= 1/2 * 4 * 5
= 10 unit^2.
1.
The edge lengths of a triangle are inversely proportional to 2,3 and 4.
The actual proportions of the lengths are then
12(1/2:1/3:1/4)=6:4:3
The longest side
= 39* (6/(6+4+3)
= 39*6/13
=18
2. 63 breads : 35 kg flour
is the same as
54 breads : x kg flour
Cross multiply and get
x=54*35/63=30
30 kg of flour are needed to make 54 breads.
If you convert 7m to centimetres you get 700
Answer:
$10.00
Step-by-step explanation:
$200 x . 05 = $10.00