Answer:
Some of the possible factorizations of the monomial given are:
![(16x^5)(3x^5)](https://tex.z-dn.net/?f=%2816x%5E5%29%283x%5E5%29)
![(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)](https://tex.z-dn.net/?f=%2848x%29%28x%5E9%29%5C%5C%5C%5C%284x%5E5%29%2812x%5E5%29%5C%5C%5C%5C%2816x%5E2%29%283x%5E8%29%5C%5C%5C%5C%282x%5E2%29%284x%5E7%29%286x%29)
Step-by-step explanation:
To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:
- Descompose into prime numbers:
![48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x](https://tex.z-dn.net/?f=48x%5E%7B10%7D%3D2%2A2%2A2%2A2%2A3%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax)
- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:
![(2^4x^5)(3x^5)](https://tex.z-dn.net/?f=%282%5E4x%5E5%29%283x%5E5%29)
![(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)](https://tex.z-dn.net/?f=%2848x%29%28x%5E9%29%5C%5C%5C%5C%284x%5E5%29%2812x%5E5%29%5C%5C%5C%5C%2816x%5E2%29%283x%5E8%29%5C%5C%5C%5C%282x%5E2%29%284x%5E7%29%286x%29)
Answer:
910 ft
Step-by-step explanation:
This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910
Answer:
44 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated using the formula
C = 2πr ← where r is the radius
here r = 7, hence
C = 2 ×π × 7 = 14π ≈ 44 cm ( to nearest whole number )
Answer: 70%
Step-by-step explanation:
Step 1:
Total number of teachers = 63 + 27
= 90
Step 2:
The percentage of the teachers in the meeting were first-year teachers:
(63 ÷ 90) × 100 = 70%