Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
Answer:
11 17/21
Step-by-step explanation:
Answer:
10
or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x 
So the length of diagonal is 14.14 approximately
Answer:
1. 87
A77
B24
C93
D47
E 31
F 48
2. 160
A10
B20
C30
D40
E 50
F 60
3. 68
A851
B295
C302
D574
E 112
F 638
4. 174
A3
B4
C5
D 6
E 7
F 8
5. a
A180-a
B180/2
C 179*a
D 179+a
E 60
F pi
Find the complementary angles of the following.
6. 53
A90
B32
C 25
D 45
E 18
F 37
7. 12
A46
B78
C98
D31
E 52
F 64
8. 73.5
A16.5
B34.2
C29.4
D17.7
E 57.9
F 11.3
9. 23.7
A66.3
B70.1
C42.5
D83.9
E 54.8
F 36.2
10. a
A90/a
Ba-90
Ca/2
D90-a
E 90-2
F a^2
Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6
11. 16,42
A256
B421
C107
D510
E 122
F 329
12. 90, 30
A23
B42
C47
D60
E 71
F 89
13. 43, 118
A12
B34
C19
D57
E 11
F 27
14. 60, 60
A15
B90
C29
D60
E 30
F 45
15. 14, 123
A73
B25
C38
D19
E 43
F 13
16. 68, 86
A45
B56
C26
D19
E 32
F 82
17. 55, 77
A18
B37
C62
D57
E 20
F 48
18. a, (a + 80)
A100 - 2a
B112 - 7a
C182 - 2a
D254 - 5a
E 311 - 3a
F 302 - 1a
19. x, (x + 20)
A189 - 7x
B167 - 1x
C114 - 5x
D160 - 2x
E 124 - 2x
F 142 - 1x
20. m, 2m
A172 - 2m
B187 - 7m
C124 - 4m
D143 - 1m
E 164 - 9m
F 180 - 3m
1. C
2. B
3. E
4. D
5. D
6. F
7. B
8. A
9. A
10. B
11. D
12. A
13. D
14. B
15. A
16. C
17. F
18. A
19. D
20. F
Step-by-step explanation:
the balloon starts at 158 thats our set number
then it goes up 56 feet a minute, you add that to your height
after that you have the variables h and t you would write it as
h= 56t+ 158
