Width = x
length = 2x
96 = x + x + 2x + 2x
96 = 6x
x = 16
2x is simply 16 × 2.
Answer:
![3X^{2} - 12X - 36 = 0](https://tex.z-dn.net/?f=3X%5E%7B2%7D%20-%2012X%20-%2036%20%3D%200)
Step-by-step explanation:
6 and - 2 are the only two solutions to the required quadratic equation.
So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.
Therefore, the equation is
(X - 6)(X + 2) = 0
⇒
If the leading coefficient of the equation is 3 then we can write the equation as
(Answer)
Answer:
B. 13 1/2
Step-by-step explanation:
27 divided by 2 is 13.5. Written as a fraction equals the answer, 13 1/2. Any question where they ask you this, divide the numerator by the denominator. Good luck! - Justin
Answer:
Step-by-step explanation:
Let the two angles be 3x and 7x.
Supplementary angles add up to 180 degrees.
Therefore:
3x + 7x = 180
10x = 180
x = 18
3x = 3 * 18 = 54
7x = 7 * 18 = 126
Answer:
The two angles are 54 degrees and 126 degrees.
This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
![A=\frac{\theta}{360^{\circ}}\times \pi r^2](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%5Ctimes%20%5Cpi%20r%5E2%20)
Where
is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of
is calculated to be:
![\theta=360^{\circ}-75^{\circ}=285^{\circ}](https://tex.z-dn.net/?f=%20%5Ctheta%3D360%5E%7B%5Ccirc%7D-75%5E%7B%5Ccirc%7D%3D285%5E%7B%5Ccirc%7D%20)
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
![A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B285%7D%7B360%7D%5Ctimes%20%5Cpi%5Ctimes%209%5E2%3D%5Cfrac%7B19%7D%7B24%7D%5Cpi%5Ctimes%2081%20%3D%5Cfrac%7B19%5Ctimes%2081%7D%7B24%7D%5Cpi%20%20)
cm^2
Thus, Option D is the correct option.