Your speed is 3.9 miles per hour
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
1/3 belongs to the rational set and to the real set.
<h3>
To which sets does the number below belong?</h3>
Here we have the number 1/3.
First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.
Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.
Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.
Then, concluding:
1/3 belongs to the rational set and to the real set.
If you want to learn more about rational numbers:
brainly.com/question/12088221
#SPJ1
