Answer:
12 kg
Step-by-step explanation:
15×80/100
15×8/10
120/10
12 kg
Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:

In this case:


So

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when
. So


Solving a quadratic equation, by Bhaskara:



The possible values are a = -2.5 or a = 4.5.
So, imagine the trainer is in the very middle of the circle and he is holding out a rope that's attached to the horse. The rope here from the trainer to the horse represents the radius of the circle. The horse trots around the trainer (middle point) in a circle.
The formula to find area of a circle is A = pi*r^2 (pi times r squared where r is radius)
We know that the radius of the "circle" here formed as the horse trots around the trainer is 31 (the 31 foot long rope).
So let r = 31 & plug the value into the formula to find circle area.
A = pi*31^2 = 3019.07054
The area is therefore 3019.07 square feet. (rounded)
Right triangle = Pythagoras theorem.
a^2+b^2=c^2
there's already c and b so
10^2-8^2=a^2
100-64= 36
a^2=36
square root both sides
to get 6.
You would have to do 24.85 x 4 because the 24.85 is per hour and if someone is going for 4 hours, this is what we would have to work out. So it would equal: 99.40 miles per hour. :)