The formula for an arithmetic sequence is An=A1+(n-1)d.
Using this knowledge, you can set up the equation easily to be An=1+(12-1)-5
You then simplify this to 1-55 using PEMDAS, giving you the answer for the twelfth term being -54, you then do this for every term if you want (or you could just subtract 5 by the terms after 14 till you get to -54. After all that, you add the twelve terms up to get -319 as your final answer
Step-by-step explanation:
Assuming the speed of car B to be x and the speed of car A to be x+20
<u>1</u><u>5</u><u>6</u> = <u>2</u><u>0</u><u>8</u>
x. x+20
156(x+20)= 208x
156x+3120=208x
3120=208x-156x
3120=52x
x=60
The speed of car A is (x)= 60
The speed of car B is(x+20)= 80
Answer:
The steps are more or less the same, except for one new addition:
1. Divide the tens column dividend by the divisor.
2. Multiply the divisor by the quotient in the tens place column.
3. Subtract the product from the divisor.
4. Bring down the dividend in the one's column and repeat it.
Step-by-step explanation:
Answer:
<u>4,712 yards.</u>
We can use the formula V=1/3hπr² to figure out what the volume of the cone is.
So using the numbers provided the new equation would be V=1/3(20)π15², which would come out to 4,712 yards.
Answer:
read below
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
the answer is m=-3n-5/2 or n=2m+5/6
