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natima [27]
3 years ago
13

Find the common difference of the arithmetic sequence 14, 10,6, ...

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer: the common difference is 4

Step-by-step explanation:

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At an angle of elevation 610
Vadim26 [7]

Answer:

The height of the cliff CD is approximately 539.76 m

Step-by-step explanation:

The given parameters are;

The first angle of elevation with which the captain sees the person on the cliff = 61°

The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°

The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°

∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;

The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°

By sine rule, we have;

AB/(sin(a)) = BC/(sin(c))

Which gives;

92/(sin(8°)) = BC/(sin(61°))

BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m

BC ≈ 578.165 m

The height CD = BC × sin(69°)

∴  The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.

The height of the cliff CD ≈ 539.76 m.

5 0
3 years ago
PLEASE URGENT NEED HELP NOWW!!!
Lady bird [3.3K]

Answer:

Step-by-step explanation:

26. 16m

27. 15m

28. 37 degrees

29. 114 degrees

30. angle I is the only non given but the angles of a triangle add up to 180, so 180 minus the two givens, 114+37, which is 151. subtract 151 from 180 and you get 29. So 29 degrees

7 0
4 years ago
At a concession​ stand, three hot dogs and 4 hamburgers cost ​$11.50​; 4 hot dogs and three hamburgers cost $11.25 Find the cost
Alekssandra [29.7K]

Answer:11.50/4=2.87

2.87×3=8.61

11.25-8.61=2.62

one hamburger$ 2.87

one hot dog $2.64

Step-by-step explanation:

7 0
3 years ago
I need help. I'm failing math
Alexxandr [17]

Answer:

B i believe

Step-by-step explanation:

6 0
3 years ago
Find the height a 17-foot ladder can reach on the side of a building when it
labwork [276]

Answer:

B. 15.4 ft

Step-by-step explanation:

this answer, without any formulas used, can be answered correctly and logically.

answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.

now we have to find which is correct between a and b

the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.

mathematically,

sin65° = x/17

17 × sin65° = x

where x is height of the side of the building.

3 0
4 years ago
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