Answer:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by 
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
Part B)
1) For
-----> the result is an integer
2) For
-----> the result is an integer
3) For
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by , she gets an integer
Answer:
Because the metric system is acknowledged by all countries except for the US, therefore, to put it only in a format understood by Americans would make it harder for the larger population of the scientific community to understand. If it's in the metric system, it can easily be understood for peer review and or involvement
Solutions
To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.
First leg (24 yards) would be α
Second leg would be β
Hypotenuse (74 yards) would be c
Now we have points α β c.
a² (24) + β² ( x ) = c² (74)
Calculations
c² = α² + β²
74² = 24²+ β²
<span>5476 = 576 + </span>β²
5476 - 576 = β²
<span> </span>
<span>4900 = </span>β²
→√4900
<span> </span>
β<span> = 70 yards
</span>
<span>70 = 10x
</span>
<span>x = 70</span>÷<span>10 = 7 yards
</span>
The second leg = 7 yards
