Answer:
29.44
Step-by-step explanation:
Since we know the both the measure of the angle and the adjacent line of the angle, we can use tan to find x.
tan is (Opposite/Adjacent Line)
That is the answer
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If a die is rolled one time, what is the probability of getting a 4
2 answers:
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Answer:
The car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.
Step-by-step explanation:
Given that a car travels 300 meters in the first minute, so
- a₁ = 300
Each minute after, the car travels 120 meters. , so the sequence becomes
a₁, a₂, a₃, a₄, a₅, ...
300, 420, 540, 660, 780, ...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
now, we have
- a₁ = 300
- d = 120
so substituting a₁ = 300 and d = 120 in the nth term of the sequence
Thus, the nth term of the sequence is:
<u>Determining the distance the car travels in 15 minutes</u>
As we have already determined the nth term of the sequence such as
now substituting n = 15
Therefore, the car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.
First lets see the pythagorean identities
So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is
Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .