Since point Q is the midpoint of GH, that means that GH-GQ=HQ=GQ (since Q is the midpoint). Plugging them in, we get 5x-5-(2x+3)=3x-8=GQ=HQ. Since Q is the midpoint, that means that 3x-8=2x+3=GQ=HQ. Subtracting 2x from both sides as well as adding 8, we get that x=11 and 2(11)+3=25=GQ by plugging x into 2x+3
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
This gives:
In the second triangle:
So:
By comparison:
Hence:
Step-by-step explanation:
We know that in kinematics we can write the formula for uniformly accelerated bodies:
s = 1/2 a t^2 + v0 t + s0
In our case s0 (initial deployment) = 0m and v0 (initial velocity) = 0
So:
s = 1/2 a t^2
Now we isolate t:
t =
All proportionalities are obvious.
Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.
Answer:
The correct option is A.
Step-by-step explanation:
Braxton is testing 2 different types of motor oil in his truck to determine which one will last longer.
Now, he adds Brand A to the truck and Brand B to his sister's car.
Now, as Braxton wants to test the motor oil in his truck so there is no need of adding the motor oil to his sister's car as by doing so he cannot result in to a meaningful conclusion.
So, Braxton need to add both the motor oil into his truck one by one.
Hence, The conclusion of Braxton is not valid because he added Brand B to his sister's car, not the truck.
Therefore, The correct option is A.