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3 years ago

Yuh esketit Gucci gang ya I came in with the sauce ouuuuub

Mathematics

2 answers:

IRISSAK [1]3 years ago

6 0

The answer should be true

zavuch27 [327]3 years ago

3 0

Answer:

trueeeee

Step-by-step explanation:

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You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Johnnas reading rate is 150 words per minute she is reading a 364 page book that has about 275 words on each page at this rate w

ch4aika [34]

Answer:

11 hrs 1 min (i think so based on math)

Step-by-step explanation:

If Johnna's reading rate is 150 words per min and there are 364 pages with about 275 words, you need to multiply 364 and 275 to get 100100 and divide that by 150 to get 667.3333333 round to the nearest tenth which will give you 667.3 and divide that by 60 because there are 60 minutes in an hour to get 11.12222222 and round that to the nearest tenth to get 11.1 which means it will take Johnna 11 hours and 1 minute to read the book. I hope this is correct I'm really sorry if it isn't. :P

8 0

2 years ago

Help plzzzzzzzzzzzzzz

kobusy [5.1K]

Answer:

y=8x-3

Step-by-step explanation:

8 0

3 years ago

Please help me with this. I forgot the formula for this

Lapatulllka [165]

There is the formula now just plug in the values and you will get your answer.

7 0

3 years ago

Four times a number is equal to the number increased by 15. Enter the equation that represents Karla's sentence into the box. Us

Montano1993 [528]

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

First, Collect like terms

4y - y = 15

3y = 15

Then, Divide both sides by 3

3y/3 = 15/3

y = 5

Hence, the variable (unknown number) is 5.

5 0

2 years ago