Find an explicit formula for the arithmetic sequence − 45 , − 30 , − 15 , 0 , . . . −45,−30,−15,0,...minus, 45, comma, minus, 30
borishaifa [10]
The explicit formula for given sequence is:
a_n=-60+15n
Step-by-step explanation:
Given sequence is:
− 45 , − 30 , − 15 , 0, ......
The general explicit formula for arithmetic sequence is given by
In the given sequence
So,
d=15
Putting the value of a1 and d in equation
Hence,
The explicit formula for given sequence is:
a_n=-60+15n
Keywords: Arithmetic sequence, Common difference
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#LearnwithBrainly
176 square yards
Step-by-step explanation:
The picture of the question in the attached figure N 1
we know that
The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)
see the attached figure N 2 to better understand the problem
step 1
Find the area of the two trapezoids (#1 and #2)
simplify
we have
substitute
step 2
Find the area of the two smaller rectangles (#3 and #4)
we have
substitute
step 3
Find the area of the walkway around the rectangular pool
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A