Answer: the ANSWER IS 11 sqt
Step-by-step explanation:
Factor 1331 into its prime factors
1331 = 113
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
121 = 112
Factors which will remain inside the root are :
11 = 11
To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
11 = 11
The simplified SQRT looks like this:
11 • sqrt (11)
Simplified Root :
11 • sqrt(11)
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
Answer:
<h3>(a) 3^9</h3>
Step-by-step explanation:
<h3> IN EXPONNETIAL FORM :</h3>
<h3>– (a^m× a^n) = (a^m+n)</h3>
<h3>3^4 × 3^5 = 3^4+5 = </h3>
<h2>3^9 </h2>
<h3 />
98.
The numbers increase by intervals of 8. You need 16 more terms until you reach the 20th term, so 16*8=128.
128-30=98.
Not sure I’ll be back with the anwer I need to get my calculator