4 dollars and seventy six cents will be the total
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.
Answer:
d) 
Step-by-step explanation:
If 
and 
, then
is in quadrant 2.
Recall that;
We substitute the given sine ratio to obtain;
We are in the second quadrant, therefore
Answer:
Options A, D and F
Step-by-step explanation:
From the picture attached,
lines 'l' ad 'm' are the parallel lines and line 't' is a transversal intersecting each line at two different points.
From the angles formed at the points of intersection,
∠5 ≅ ∠8 [Vertical angles]
∠5 ≅ ∠4 [Alternate interior angles]
∠5 ≅ ∠1 [Corresponding angles]
Therefore, Options A, D and F will be the correct options.
The answer is 240 simply multiply 12 x 20
