Answer:
224√(3)
Step-by-step explanation:
4√(12)×7√(16)
=4√(4×3)×7×4
=4×2×√(3)×28
=8×√(3)×28
=224√(3)
The size of the scalene triangle would be larger or smaller
56ft. Because 7 times 8 is 56.
<h2>
Answer with explanation:</h2>
The function represents the area of a circle(A) is given by :-
![A(r)=2\pi r](https://tex.z-dn.net/?f=A%28r%29%3D2%5Cpi%20r)
To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get
![A(11)=2\pi (11)](https://tex.z-dn.net/?f=A%2811%29%3D2%5Cpi%20%2811%29)
Now, we put
in the above function , we get
![A(11)=2(\dfrac{22}{7} )(11)\\\\\Rightarrow\ A=56.5714285714\approx56.57](https://tex.z-dn.net/?f=A%2811%29%3D2%28%5Cdfrac%7B22%7D%7B7%7D%20%29%2811%29%5C%5C%5C%5C%5CRightarrow%5C%20A%3D56.5714285714%5Capprox56.57)
Answer:
False
Step-by-step explanation:
Required
State if the product of rational numbers and integer is an integer
The statement is false and the proof is as follows
Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;
Take for instance: 0.2, 0.5, 2.25, etc.
When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;
1. It can result to an integer:
<em>For instance;</em>
![0.2 * 5 = 1](https://tex.z-dn.net/?f=0.2%20%2A%205%20%3D%201)
![0.5 * 4 = 2](https://tex.z-dn.net/?f=0.5%20%2A%204%20%3D%202)
![2.25 * 8 = 18](https://tex.z-dn.net/?f=2.25%20%2A%208%20%3D%2018)
2. It can result in a decimal number
<em>For instance;</em>
![0.2 * 3 = 0.6](https://tex.z-dn.net/?f=0.2%20%2A%203%20%3D%200.6)
![0.5 * 5 = 2.5](https://tex.z-dn.net/?f=0.5%20%2A%205%20%3D%202.5)
![2.25 * 7 = 15.75](https://tex.z-dn.net/?f=2.25%20%2A%207%20%3D%2015.75)
From (1) above, we understand that the product can result in an integer.
Hence, the statement is false