If given the following AP what is the common difference 10, 15, 20
1 answer:
Answer:
The common difference of the given AP is d=5.
Step-by-step explanation:
Given the sequence
An Arithmetic sequence has a constant difference 'd' and is defined by
Computing the common difference of all the adjacent terms
As the difference between all the adjacent terms is the same and equal to
Therefore, the common difference of the given AP is d=5.
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Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8
So hmm check the picture below
both ships leave at the same time, one is going 16mph, the other 20mph, 2hrs later on the road
at 16mph well, 2hrs is just 16+16, or 32 miles away
20mph for 2hrs, is 20+20, or 40 miles away
using the law of cosines
again, recall, the angle is in degrees, so, when taking the cosine, make sure your calculator is in Degree mode
both ships leave at the same time, one is going 16mph, the other 20mph, 2hrs later on the road
at 16mph well, 2hrs is just 16+16, or 32 miles away
20mph for 2hrs, is 20+20, or 40 miles away
using the law of cosines
again, recall, the angle is in degrees, so, when taking the cosine, make sure your calculator is in Degree mode