Answer:
The value of x component changes at a rate of units per second
Step-by-step explanation:
We are given that
Differentiating on both sides with respect to time we get
It is given that
Solving for we get
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If there is 4 faces and 1/4 chance of any side end up face down, we just have to decrease one chance, so, the chance of the face "2" does not end up face down is equal the sum of the chances of the others faces end up face down, so, we have: 3/4.
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Answer:
Area of the sector = 29.48 square miles.
Step-by-step explanation:
Given:
Radius of a circle = 13 miles
Angle bounded by the arc = 20 deg
To find
Area of the sector bounded by 20 degrees.
Note: Area of a sector =
Plugging the values in the equation.
⇒
⇒
⇒ square-miles
So the area of the sector bounded by 20 degree arc is 29.48 square miles.
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = =
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c =
To calculate the unknown angle B, we can use law of sine.
Law of sine = = =
So,
=
=
Sin90 = 1
sinB =
B = ()
B = 57.5°