Answer:
130
Step-by-step explanation:
A standard deviation is 15, so 2 standard deviation is 30, 2 standard deviations above 100 is 100+30=130
Volume of one pyramid = 408.6*(755.9*755.9)*1/3
volume of 3 pyramids= 3*408.6*(755.9*755.9)=700,403,500.11*1/3=233,467,833.37
reasoning 3 square base pyramid = 1 cuboid
Answer:
see below
Step-by-step explanation:
The rotation transformations are ...
90° : (x, y) ⇒ (-y, x)
180° : (x, y) ⇒ (-x, -y)
270° : (x, y) ⇒ (y, -x)
Applying these to the given points, you get ...
9) A'(6, 9)
10) A'(15, 11)
11) A'(9, 6)
12) A'(-11, 15)
13) A'(6, -9)
14) A'(15, -11)
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
