Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
To find the percent of anything, you divide what you have from the total (or the smaller number over the bigger number). In this case, you will do 14/26.
14/26=0.53846
I'm going to round to the hundredths: 0.54
Move the decimal place two times to the right: 54
The percent change from 14 inches to 26 inches is 54%
The unit circle is a circle with radius
![r=1](https://tex.z-dn.net/?f=r%3D1)
, so you have
![L=r\theta\implies4.2=\theta](https://tex.z-dn.net/?f=L%3Dr%5Ctheta%5Cimplies4.2%3D%5Ctheta)
where
![\theta](https://tex.z-dn.net/?f=%5Ctheta)
is measured in radians, so
![\theta\approx241^\circ](https://tex.z-dn.net/?f=%5Ctheta%5Capprox241%5E%5Ccirc)
.
Q1. The answer is 4(2x - 3)(2x + 1)
16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)
Q2. The answer is 3(x + 8)(x - 1)
3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)
Answer:
This ans is easily solved by using algebraic identities a²- b² = (a+b) (a-b)
Step-by-step explanation:
1. convert into Identity
2. solve quadratic equation that formed.