Answer:
B) 20.6 mi/hr
Step-by-step explanation:
To solve this, we need to first convert 40 meters to mile, then convert 4.35 seconds to hour, then solve by proportion.
converting 40 meters to mile;
1 mile = 1609.344 meter
x = 40 meters
1609.344x = 40
x = 40/1609.344
x =0.02485 mile
Then converting seconds to hour
1 hour = 3600 seconds
y = 4.35 seconds
3600 y = 4.35
y=4.35/3600
y =0.00121 hour
Using proportion to solve the question
Let n be the number he runs miles per hour
0.02485 mile = 0.00121 hour
n = 1 hour
cross-multiply
0.00121 n = 0.02485
Divide both-side by 0.00121
0.00121 n/0.00121 = 0.02485/0.00121
n ≈ 20.6 mile/hour
Therefore, he is running 20.6 mi/hr
Thats uhhhhhh..... thats pretty cool.
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
Your question would be clearer if written as "What is 145% of 6000?"
1.45(6000) = 8700
