Answer:
you need to provide a picture friend
Answer:
Jeff has to walk 13.9 m north.
Jeff has to walk 14.3 m futher than Gail.
Step-by-step explanation:
Gail takes a short cut, which is 14.9 m, so Gail moves by the hypotenuse.
Jeff goes the long way. He starts out walking east for 5.3 m, and then turns north, so Jeff mowes by two legs. Let x m be the distance Jeff goes north.
By the Pythagorean theorem,
So, Jeff has to walk 13.9 m north. In total, the long way is
Jeff has to walk
futher than Gail.
Answer:
483.56 square milimeters
Step-by-step explanation:
In the above question, we obtain the following information:
Slant height = 15mm
Radius = 7mm
π = 3.14
Since we are given the slant height ,
the formula for surface area of a cone = πrl + πr²
= πr (l + r)
= 3.14 × 7(15 + 7)
= 3.14 × 7( 22)
= 21.98(22)
= 483.56 square milimeters
<h3>Answer: 36,400 dollars</h3>
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Work Shown:
Triple each deposit amount as you go from month to month.
100 deposited in January
300 deposited in February
900 deposited in March
2700 deposited in April
8100 deposted in May
24300 deposited in June
Add up those amounts: 100+300+900+2700+8100+24300 = 36,400
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A shortcut is to use the following formula
S = a*(1-r^n)/(1-r)
where
S = sum of the first n terms of a geometric sequence
a = first term = 100 which is the amount deposited in Jan.
r = common ratio = 3 is the idea we triple each deposit
n = number of terms = 6 is the number of months from Jan to June
So we get,
S = a*(1-r^n)/(1-r)
S = 100*(1-3^6)/(1-3)
S = 36,400
which is the same answer as before. This method is much faster if n is large.