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2 years ago

From the top of a lighthouse the angle of depression of a speed

Mathematics

1 answer:

otez555 [7]2 years ago

5 0

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

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A factory produces 2354 hammers every hour. Which expression can be used to find how many hammers the factory produces in 3 hour

ki77a [65]

An expression might be: 2354h / 3hrs. You can make the real division sign if you're using paper. Hope this helped :)

8 0

3 years ago

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

If the price of upholstery fabric is $12.49 per yard, how much will 16 yards cost?

Oliga [24]

16 yards will cost $199.84 assuming there is no tax. We know this because

12.49 X 16 = 199.84

7 0

3 years ago

Read 2 more answers

Evaluate the radical.

zaharov [31]

5*5*5=125
5²*5=125
5√5 is your answer

4 0

3 years ago

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Consider the line y=- 2x+7.

iVinArrow [24]

Answer:

the slope is rhe same -2

Step-by-step explanation:

the slope is the opposite +1/2

3 0

3 years ago

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