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°.
Answer:
<em>Choose the first alternative</em>
Step-by-step explanation:
<u>Probabilities</u>
The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions 
and the total number of possible choices 
, i.e.
There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total
We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.
To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5
The total number of possible choices is
The probability is then
Choose the first alternative
Answer:
For 293737281020387272 years tamad ka paren mag basa ng numbers
Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
Answer:
The answer to your question is: (1/2, 5)
Step-by-step explanation:
Parabola f(x) = 8x² - 8x + 7
y = 8x² - 8x + 7
Vertical Parabola equation
( x - h)² = 4p (y - k) Transform the original equation to this form
8x² - 8x = y - 7
8(x² - x + ( )²) = y - 7 Complete squares
8 (x² - x + (1/2)²) = y - 7 + 2 Simplification
8 (x² - x + 1/4) = y - 5
(x - 1/2)² = 1/8 (y - 5)
Finally Vertex
(1/2 , 5)
