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expeople1 [14]
2 years ago
13

The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You

are standing on a platform. Your eye level is 12 feet above the water. Can you see a ship that is 4.5 miles away? because you can see about miles.
Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

d=3\sqrt{h}

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

You might be interested in
Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of
EastWind [94]

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

5 0
2 years ago
A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips
Flauer [41]

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

600-150\\\\=450

So, We can get the ratio of tulips to daffodils which is given by

Tulips:Daffodils\\\\150:450\\\\1:3

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

4 0
2 years ago
Read 2 more answers
Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(???????) =???? .
g100num [7]

Answer: The answer is (x+7)(3x+1)=33x^2+22x+7.

Step-by-step explanation: Given that

(3x2 + 22x + 7) \div(x + 7) = 3x + 1,

and we are to complete the following sentence:

(x+7)(???)=???

We have the following division algorithm for polynomials

\textup{If }a(x)\times b(x)=c(x),\\\textup{then, we have }\\\\\dfrac{c(x)}{b(x)}=a(x)~~~~~\textup{or}~~~~~~c(x)\div b(x)=a(x).

Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.

Applying this rule in the given problem, we have

\textup{since }(3x2 + 22x + 7) \div(x + 7) = 3x + 1,\\\\\textup{so, }\\\\(x+7)(3x+1)=3x^2+22x+7=0.

Thus, the complete sentence is

(x+7)(3x+1)=3x^2+22x+7=0.

7 0
2 years ago
Read 2 more answers
Factor 125x9 + 64. (5x3 – 4)(25x6 + 20x3 + 16) (5x3 – 4)(25x3 + 20x3 + 16) (5x3 + 4)(25x6 – 20x3 + 16) (5x3 + 4)(25x3 – 20x3 + 1
SSSSS [86.1K]
(5x^3 + 4)(25x^6 - 20x3 +16)  remember factoring the cubes?
4 0
2 years ago
Read 2 more answers
One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared
AfilCa [17]

Answer:

29119.66666...+14561.3333...=43681, 209ft^2, not square feet.

Step-by-step explanation:

<em>"One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared"</em>

Ok, so this is a tricky one- <em> 209 feet squared, </em>not 209 square feet, therefore the area is 209^2, or 43,681.

Next, let's define our variables-

<em>x= the "other side"</em>

<em>z= 3 feet shorter than twice side</em>

We can now make these (useful) equations

z=2x-3

43681= (2x-3)+x

We will focus on the latter for now-

Simplify

43681= (2x-3)+x

43681= 2x-3+x

43681= 3x-3

+3

43684=3x

/3

14561.3333...=x

z=2x-3

z=2*(14561.3333)-3

z=29119.66666....

29119.66666...+14561.3333...=43681

6 0
2 years ago
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