Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
Answer:
The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28
Step-by-step explanation:
First, to make it easier to subtract, let's change these numbers to improper fractions.
4 5/7 = 33/7
1 3/4 = 7/4
Now, we have to find the LCM (least common multiple) between 4 and 7.
4- 4, 8, 12, 16, 20, 24, 28, 32
7- 7, 14, 21, 28, 35, 42, 49
As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.
33*4/ 7*4 = 132/ 28
7*7/ 4*7 = 49/ 28
>>132 - 49 = 83
So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28
Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us: 
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us: 
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):
Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get: 
Which tells us that the smaller rocket gets 24 kiloliters of fuel.
Number of x intercepts in this equation is 2 because max power in the function is 2. number of x intercepts is determined by "highest power".
let x1 represent first x intercept and
let x2 represent second x intercept
Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2
we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0
x1 = 5
x2 = 1
Avg = 3
