Answer:
39 m.
Step-by-step explanation:
The area of a triangle is calculated by the expression given as:
Area = bh/2
where b is the base and h is the height.
We calculate as follows:
270 = b (15) / 2
b = 36
hypotenuse = sqrt ( 15^2 + 36^2 ) = 39
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Given: 
A.)Consider
Also,
Since, 
Therefore, both functions are inverses of each other.
B.
For the Composition function 
Since, the function 
is not defined for 
.
Therefore, the domain is 
For the Composition function 
Since, the function 
is not defined for 
.
Therefore, the domain is 
A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536
The answer is b.6 because if you go through and look at each available type of sandwich to make you will get six different selections
