Answer:
The formula to determine the distance Jane's trainer bikes is 
.
Detailed explanation:
A diagram has been included for clarity.
Known values:
Distance biked to the south = 16 miles
Distance ran west = 12 miles
We need to determine the distance covered by Jane's trainer.
Solution:
Let the biking distance be represented by 'x'.
We will assume it forms a right-angled triangle.
According to the Pythagorean theorem, it states that;
"The square of the hypotenuse is equal to the sum of the squares of the other two sides."
When set in equation form, this gives us;
Thus, the equation representing the distance biked by Jane's trainer is .
Upon solving, we find;
Consequently, Jane's trainer covers a distance of 20 miles.
Malcolm's remaining distance is roughly
1370 - 470 - 430 = 470
This coincides with selection...
D) 470 miles
The toddler weighs 12.5 kg.
In-depth explanation:
The formula for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that; h= 1.5m, Ep=187.5J, g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
m=12.5 kg
Learn More
- Gravitation potential energy:
Keywords: Mass, gravitational potential energy
Let
denote the length of the pond and <span> signify its width. It's recognized that the pond's volume equals the area of its base multiplied by its depth. In this case, the base area can be computed as volume divided by depth, equating to 72000 in³ divided by 24 in, resulting in an area of 3000 in². Given that the area is expressed as x multiplied by y, we come to equation 1, 3000 = x * y. If we have x = 2y, we substitute this into equation 1, leading to 3000 = (2y) * y, simplifying to 2y² = 3000 and consequently y² = 1500, giving y = 38.7 in. Thus, x = 2y yields x = 2 * 38.7 = 77.4 in. The conclusion is that the pond's length is 77.4 in while its width is 38.7 in.
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