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Ivanshal [37]
3 years ago
9

Find 2 consecutive even intergers such that the smaller added to two times the larger gives a sum of 34

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
The two consecutive integers would be 10 and 12. Not 100% sure though.
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
7nadin3 [17]

To solve this problem, we can use the tan function to find for the distances covered.

tan θ = o / a

Where,

θ = angle = 90° - angle of depression

o = side opposite to the angle = distance of boat from lighthouse

a = side adjacent to the angle = height of lighthouse = 200 ft

When the angle of depression is 16°18', the initial distance from the lighthouse is:

o = 200 tan (90° - 16°18')

o = 683.95 ft

When the angle of depression is 48°51', the final distance from the lighthouse is:

o = 200 tan (90° - 48°51')

o = 174.78 ft

 

Therefore the total distance the boat travelled is:

d = 683.95 ft - 174.78 ft

<span>d = 509.17 ft</span>

4 0
3 years ago
A group of which of the order must be cyclic?<br><br> A. 6 <br> B. 7 <br> C. 8 <br> D. 9
DochEvi [55]

Answer:

Its option D. 9

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3 0
3 years ago
Do you know the answer ?
SIZIF [17.4K]

draw in the line, here are the points

6 0
2 years ago
High Construction Company distributed 8% of its total profit, an amount equal to $5500 in
makvit [3.9K]

Given :

High Construction Company distributed 8% of its total profit, an amount equal to $5500 in  bonus this year.

To Find :

The total profit .

Solution :

Let , total profit be x .

It is given that 8 % of the total profit is equal to $5500 .

So ,

\dfrac{8x}{100}=5500\\\\x=\dfrac{5500\times 100}{8}\\\\x=\$\ 68750

Therefore , total profit is $68750 .

Hence , this is the required solution .

4 0
3 years ago
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