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gogolik [260]
3 years ago
10

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. (If an answer does not exi

st, enter DNE.) 2 + 0.6 + 0.18 + 0.054 + ...
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

  sum: 2 6/7

Step-by-step explanation:

The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.

The sum is ...

  S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7

  S = 2 6/7

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Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird fro
anyanavicka [17]

Answer:

63.44 feet

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Therefore, Travis stepped back 63.44 feet to gain a better view!

7 0
2 years ago
a coin weighs 3/4, debra picked up 6 of these coins, what is the total weight of coins she picked up?
Keith_Richards [23]

Answer:

4.5

Hope this helps

4 0
3 years ago
ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilatera
Dima020 [189]
Given : - Square ABCD with side 3.  E and F as midpoints.
To find : - area of EBFD

Solution : - We have, area of square ABCD = 3 x 3 = 9 units.

Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF

arDAE = 1/2 x base x height

=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25

arDFC = 1/2 x base x height 
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25

Thus, (ar) EBFD = arABCD - arDAE - arDCF

= 9 - 2.25 - 2.25

= 4.5 units.

Thus, area of quad EBFD is 4.5 units.  
7 0
3 years ago
Gray can ride his bike 6miles in 20 minutes at this rate how many miles can he ride in 100 minutes
oksano4ka [1.4K]
30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.
4 0
2 years ago
G(t)=2.0.4^t for t = -2​
mafiozo [28]

Answer:

2(0.4)^-2 = 12.5

Step-by-step explanation:

do math noob

7 0
2 years ago
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