Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
D and E
Step-by-step explanation:
A vertical asymptote in this case would mean that the denominator is equal to zero, which is undefined. You can factor the denominator to get you the fraction:
x+2 / (x+6)(x-4) = 0
Then you know that to equal zero, x would have to equal either -6 or 4, which is E and D.
Final answer: x=9
your welcome
<span>Add the three amounts first.
$2,889.32 + </span>$2,996.42 + <span>$3,435.53 = $9321.27
Now divide the total amount of sales by the cost per gallon to find the number of gallons.
9321.27/1.19 = 7833
Answer: The total amount of regular gas sold on Tuesday, Wednesday, and Thursday was 7833 gallons.
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