Answer:
The possible outcomes are 1728.
Step-by-step explanation:
Consider the provided information.
We know that there are 12 months in a year and we have 3 people in a room.
As the order is important it means for each person we have 12 choices of the months.
The possible outcomes are: 
Hence, the possible outcomes are 1728.
Answer:
Step-by-step explanation:
Firstly, you have to factorize the expressions on the numerator and denorminator :
Numerator :
Denorminator :
Next, you have to put the factorized-form in the fraction and cut out the similar expressions :
Answer:
x<6 just letting you know that / is not meant for division it means a fraction bar
Step-by-step explanation:
1. Group all constants on the right side of the inequality
2x+4<16
Subtract from both sides
(2x+4)-4<16-4
Simplify the arithmetic
2x<16-4
Simplify the arithmetic
2x<12
2. Isolate the x
2x<12
Divide both sides by 2
(2x)/2<12/2
Simplify the fraction
x<12/2
Find the greatest common factor of the numerator and denominator
x<6*2/1*2
Factor out and cancel the greatest common factor
x<6
3. Solution on a coordinate plane
Solution: x<6
Interval notation:
(-∞,6)
$41.55
You add $9.98 to $31.57 so that you can get Rebecca’s price
Answer:
39.6 feet tall
Step-by-step explanation:
From what the problem says, we know that the shadow, the ground, and the tree make a triangle. We also know that the tip of the shadow has a 32° angle of elevation. So how do we use this information to find the height of the tree?
Through the use of trigonometric ratios, we'll be able to find the height of the tree. There are three trigonometric ratios which are shown below:
Sine∅ = (Opposite ÷ Hypotenuse)
Cosine∅ = (Adjacent ÷ Hypotenuse)
Tangent∅ = (Opposite ÷ Adjacent)
In the situation given to us, the hypotenuse of our triangle would be the diagonal from the top of the tree to the tip of the shadow. However, we are not given the measurement of the hypotenuse nor are we being asked to find the measurement.
The trigonometric ratio that we will need to use is tangent.
Tangent∅ = (Opposite ÷ Adjacent)
We already know that we need to find the tan(32°) but how can we tell what is the opposite and what is the adjacent? Well if you remember that the 32° angle is where the tip of the shadow is on the ground, then we know that the ground has to be the adjacent and the tree has to be the opposite giving us this equation:
tan(32°) = (x ÷ 60)
Solve for x.
(0.66) = (x ÷ 60)
x = 39.6 feet
~Hope this helps!~
