(3x - 8)(2x - 2)
(6x² - 6x - 16x + 16)
6x² - 22x + 16
Answer:
Step-by-step explanation:
Let the length of each side be x. We can divide the triangle into two to get two right angled triangles which side will be x (hypotenuse), 4.5 (height), x/2 for base.
Using Pythagoras's theorem
x² = 4.5² + (x/2)²
x² = 81/4 + x²/4
x² - x²/4 = 81/4
3/4x² = 81/4
x² = 27
x = √27 = 3√3 in
Cos (theta) would be equal to 15/-1!
The reason is because the inverse of sin is equal to the hypotenuse over the opposite angle, meaning the hypotenuse would be -1. Tan is equal to the opposite over the adjacent angle, meaning the adjacent angle equals 15. Cos is equal to the adjacent over the hypotenuse, making cos (theta)= 15/-1!
Answer: The correct answer to the equation is B.
Hope this helps :)
Not my handwriting sorry if it's sloppy.
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
