9514 1404 393
Answer:
- ∠PTQ = 45°
- ∠QTR = 15°
- ∠PTS = 120°
Step-by-step explanation:
Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).
Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.
∠PTQ = 45°
∠QTR = ∠PTR -∠PTQ = 60° -45°
∠QTR = 15°
∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS
First find the mass.
Since weight force is 48N, and acceleration due to gravity is 9.8 m/s^2,
weight force = mass*acceleration due to gravity,
mass = weight/acceleration
mass = 48N / 9.8 m/s^2
mass = 4.9 kg
Now you find the force needed to accelerate to 3.0 m/s^2.
Force = mass*acceleration
Force = 4.9kg * 3.0 m/s^2
Force = 14.7 N
Answer:
3 acute angles with different measures and 1 right angle and 2 acute angles with same measures
Answer:
x ≥ 0
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We can see that our x-values in the graph span from 0 to infinity. Since 0 is a closed dot, we include it in our domain:
[0, ∞) or x ≥ 0, or x >= 0
