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
The time take for the cyclist to travel from Fort Worth to Fresno is 
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,
Substituting the value of distance and speed, we get,
Dividing both sides by 17, we get,
Thus, the time take for the cyclist to travel from Fort Worth to Fresno is
Answer:
the slope would be -5
Step-by-step explanation:
in linear equations, the slope of the line is the coefficient of x
so in this case, it is -5
Answer:
Total no. of balls = 8
Red balls = 3
Yellow balls = 2
Green balls = 3
Now,
P (picking a yellow ball) = 2/8 = 1/4
P (picking a green ball) = 3/8
