Answer:
Area = 15.36 ft
Step-by-step explanation:
First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.
Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.
Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.
Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft
and Finally, subtract the area of the rectangle shape of the the sum of the two invisible triangles, 30.72 - 15.36 = 15.36ft
The area of the parallelogram is 15.36 ft.
Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
It is not likely because it is less then 50% which 50 is half and 25% is 1/4 chance.
Ok so here u go
<span>Simplifying
6(2x + -11) + 15 = 21 Reorder the terms:
6(-11 + 2x) + 15 = 21
(-11 * 6 + 2x * 6) + 15 = 21
(-66 + 12x) + 15 = 21 Reorder the terms:
-66 + 15 + 12x = 21 Combine like terms: -66 + 15 = -51
-51 + 12x = 21 Solving
-51 + 12x = 21
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
Add '51' to each side of the equation.
-51 + 51 + 12x = 21 + 51
Combine like terms: -51 + 51 = 0
0 + 12x = 21 + 51
12x = 21 + 51 Combine like terms: 21 + 51 = 72
12x = 72
Divide each side by '12'.
x = 6
Simplifying
x = 6</span>
Answer:
$52
Step-by-step explanation:
90-38
total amount subtracted by the amount she had
