Answer:
5002.46412961
Step-by-step explanation:
Solve each problem. Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3 -inch squares from each corner and folding up the sides, as shown at the top of the next page. Let x
represent the width of the original piece of sheet metal. (a) Represent the length of the original piece of sheet metal in terms of x.
(b) What are the restrictions on x?
(c) Determine a function V
that represents the volume of the box in terms of x
(d) For what values of x
(that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch
R = {10; 15; 20}
S = {20; 25}
R U S = {10;15; 20; 25;
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:
