If two angles are supplementary, their measures add to 180 degrees.
Let’s name the angles A and B.
You can substitute or replace angle B in the first equation with the second equation like so:
4
So, angle A is 42.5 degrees and angle B is 137.5 degrees!
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I've attached the diagram.
For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).
Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²
The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²
Simplify:
64 + 36 = c²
100 = c²
10 = c
Answer:
The length of the ladder is 10 m.
Answer:
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Step-by-step explanation:
Answer:
The smart-phone hit the ground when t = 7 s
Step-by-step explanation:
The height "h" is defined as:
h=16t^2 + 48t + 448
And, when the smart-phone hits the ground, h = 0 ft . Then,
16t^2 + 48t + 448 = 0
And this is a quadratic equation, and we can solve it using the formula for ax^2 + bx + c = 0, which is
x=
So,
t =
t =
And, we have two responses,
t_1 = and t_2 =
t_1 = - 4 s and t_2 = 7 s
As we know, the time is a quantity that cannot have a negative value, so, we take the result 2.
Answer:
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