Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
Answer: 
x 8 = 13.8564064606
Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 (). Therefore, square root 3 () is multiplied by the length (8 in our case) of either 6 faces of the cube.
Hope it helped!
The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)
<h3>
What is simplification?</h3>
The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.
Now we have the original expression as;
(xy^2/x^-3y^3)
The only possible step in the expansion is to open up the bracket by the laws of indices and we get;
x^-4y^-8/x^12y^-12 (Option B)
Learn more about algebraic expression:brainly.com/question/953809
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For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X
Answer:
1) 39.5 ft^2
1) 139.15m^2
Step-by-step explanation:
2) area of a rectangle formula : LW
Area of a triangle:(bh)/2
Area of a semi circle:( Pi*r^2)/2
Area of a square: S^2
Area of figure one:
Lw+(b1*h1)/2+(b2*h2)/2
8*4+(2*3)/2+(3*3)/2
32+3+4.5=39.5
Area of fig 2:
S^2+(pi*r^2)/2
10^2+(3.14*5^2)/2
100+78.5/2
100+39.25=139.25
