To solve the expression, we must know about an expression.
<h2>Expression</h2>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
The solution of the expression is 2a.
<h3>Given to us</h3>
![\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7B4a%2B4%7D%7B2a%7D%5Ctimes%20%5Cdfrac%7Ba%5E2%7D%7Ba%2B1%7D%5C%5C%5C%5C)
<h2>Solution</h2>
![\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7B4a%2B4%7D%7B2a%7D%5Ctimes%20%5Cdfrac%7Ba%5E2%7D%7Ba%2B1%7D%5C%5C%5C%5C)
Multiplying both we get,
![=\dfrac{(4a+4)\times a^2}{2a \times (a+1)}\\\\](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%284a%2B4%29%5Ctimes%20a%5E2%7D%7B2a%20%5Ctimes%20%28a%2B1%29%7D%5C%5C%5C%5C)
Taking 4 as common from the numerator,
![=\dfrac{4(a+1)\times a^2}{2a(a+1)}\\\\](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B4%28a%2B1%29%5Ctimes%20a%5E2%7D%7B2a%28a%2B1%29%7D%5C%5C%5C%5C)
Canceling (a+1) from both numerator and denominator,
![=\dfrac{4a^2}{2a}\\\\](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B4a%5E2%7D%7B2a%7D%5C%5C%5C%5C)
Expanding further,
![=\dfrac{2\times 2 \times a \times a}{2 \times a}\\\\](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%5Ctimes%202%20%5Ctimes%20a%20%5Ctimes%20a%7D%7B2%20%5Ctimes%20a%7D%5C%5C%5C%5C)
Canceling 2 and a,
= 2a
Hence, the solution of the expression is 2a.
Learn more about Expression:
brainly.com/question/13947055
The perimeter of a circle is its total circumference, but in this case a semi-circle will measure half the circumference plus its diameter.
If the semicircle measures 8cm then the total circle is 16 cm, and we can calculate its diameter or radius from there. The perimeter is defined as:
p = pi*diameter = 16
diameter = 16/pi = 16/3.14
diameter = 5.1 cm
Therefore the semi-circle perimeter is:
perimeter = semi-circle + diameter = 8 + 5.1 = 13.1 cm
Answer:
1350 will serve 30 students
Answer:
54.
Step-by-step explanation:
( 8 + √ 10 ) ( 8 − √10)
= 8*8 - 8√10 + 8√10 +√10 * -√10
= 64 - 8√10 + 8√10 - 10
The 2 middle turns cancel out so we have:
64 - 10
= 54.
Answer:
to do this question, add width + height. 4/6 + 2/5 are not normally add-able. So to correct this, we find the most common factors. There is 1, 5, and 6 at highest. 5 and 6 share a high number multiple if you combine them. This multiple is 30. So now, keep, change, flip.
4x2 is 8.
6x5 is 30.
I would say the answer should be eight thirtieths.