The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
So to fiqure this out you do reverse operations. 17 feet divided by .16 feet which equals 106.25 feet
36 different outcomes.
6 x 6 = 36
Each side of dice 1 could have a counter match of 6 possibilities x 6
Answer:
the price of each soda is $1.75
Step-by-step explanation:
Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)
We can then write two equations using the information on the total price for each order:
(a) 4 s + 4 b = 16
(b) 4 s + 3 b = 13.75
we can now subtract term by term equation (b) from equation (a), and obtain:
4 s - 4 s + 4 b - 3 b = 16 - 13.75
0 + b = 2.25
So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:
4 s + 4 (2.25) = 16
4 s + 9 = 16
4 s = 16 - 9
4 s = 7
s = 7/4
s = 1.75
So, the price of each soda is $1.75
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!