Answer:
tan theta = 2 sqrt(5) /15
Step-by-step explanation:
sin theta = opp / hypotenuse
sin theta = 2/7
We can use the Pythagorean theorem to find the length of the adjacent side
a^2 + b^2 = c^2
2^2 +adj^2 = 7^2
4 + adj^2 = 49
adj ^2 = 49-4
adj^2 = 45
Taking the square root of each side
adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)
The tan theta = opp/ adj
tan theta = 2 / 3 sqrt(5)
Multiply by sqrt(5) / sqrt(5)
= 2 sqrt(5) / 3 *5
= 2 sqrt(5) /15
Answer:
X is less than or equal to 1.66666666667
Step-by-step explanation:
3x-7(less than or equal to)-2
-7+7= 0
-2+7=5
3x divided by 3 cancles out
5 divided by 3 = 1.66666666667
x is less than or equal to 1.66666666667
Answer:
Scale factor = 
Step-by-step explanation:
Perimeter of the actual flag = 22 in.
Perimeter of the scale drawing of the flag = 11 in.
Since, perimeter of a triangle = Sum of all three sides of the given triangle
Therefore, scale factor of the drawing
=
= 
= 
= 
Therefore, scale factor of the drawing will be
.
Each side of the scaled triangle will be half of the actual triangle.