Answer:
Part 1)
Part 2) The height of the pole is
Step-by-step explanation:
Let
x------> the length of the pole
y------> the length of the shadow
we know that
-----> equation A
Applying the Pythagoras Theorem to find the distance (hypotenuse in a right triangle)
-----> equation B
substitute equation A in equation B and solve for x
squared both sides
-----> equation that represent the situation
solve for x
Step-by-step explanation:
step 1. add the ratio part
1+2=3
step 2. use answer from step 1 and divide
54/3 is 18
step 3. use 18 into both of the mice
brown: 18*1 is 18 brown mice
. Gray: 18*2 is 56 gray mice
There fore there are 56 gray mice
Answer:
-3
Step-by-step explanation:
their is your answer
To find the average rate of change, use the following formula:
a and b represent the values of the interval:
Simplify the original equation by combining like terms:
Plug the interval values into the f(x) equation:
Plug in these values into the average rate of change formula:
The average rate of change over this interval is
-11.
Answer:
The rocket will reach its highest point about 2.04 seconds.
Step-by-step explanation:
The function:
Models the relationship between the height of the rocket and the time after launch t in seconds.
Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:
In this case, a = -4.9, b = 20, and c = 0. Thus:
The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.
Further Notes:
Then the maximum height of the rocket will be f(10/4.9):