Answer:
See below in bold.
Step-by-step explanation:
The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).
So the area of one piece = 1/2 * 9 * 40 cm^2.
The total amount of cloth required for one umbrella = 10 * 1/2 * 9 * 40
= 1800 cm^2.
The total cost = 1800 * 0.25 = Rs 450.
Answer:
8cm
Step-by-step explanation:
First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square
Area of a semi circle = πr²/2
25.12 = πr²
25.12 = 3.14r²/2
r² = 25.12(2)/3.14
r² = 16
r = √16
r = 4
Get the diameter
d = 2r
d =2(4)
d = 8cm
Hence the length of the side of the square is 8cm
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
F(x)=1-x² and g(x)=√(11-4x)
(g+f)(2)=>
1-(2)²+√(11-4(2))
=√3-3
(f/g)(-1)
(1-(-1)²)/(√(11-4(-1))
=0
(g-f)(-1)
√(11-4*-1)-(1-(-1)²
=√15
(g×f)(2)
1-(2)²×√(11-4(2))
-3√3
