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3 years ago

7

A community swimming pool is 90 2/5 feet long and 55 1/2 feet wide. If Natalie swims the perimeter of the pool four times, what

is the total number of feet she will swims?

1 answer:

Drupady [299]3 years ago

3 0

Answer:

the right answer is 254

Step-by-step explanation:

902/5+551/2

=63.5

and Natalie swims the pool 4 times

therefore,

4×63.5=254

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A 15-ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at the rate of 1.5 ft/sec. L

Aleks [24]

Answer:

The top of the ladder is sliding down at a rate of 2 feet per second.

Step-by-step explanation:

Refer the image for the diagram. Consider $\Delta ABC$ as right angle triangle. Values of length of one side and hypotenuse is given. Value of another side is not known. So applying Pythagoras theorem,

$\left ( AB \right )^{2}+\left ( BC \right )^{2}=\left ( AC \right )^{2}$

From the given data, $L=15\:ft=AC$ , $y=9\:ft=AB$ and $x=BC$

Substituting the values,

$\therefore \left ( 9 \right )^{2}+\left ( x \right )^{2}=\left ( 15 \right )^{2}$

$\therefore 81+x^{2}=225$

$\therefore x^{2}=225-81$

$\therefore x^{2}=144$

$\therefore \sqrt{x^{2}}=\sqrt{144}$

$\therefore x=\pm 12$

Since length can never be negative, so $x= 12$ .

Now to calculate $\dfrac{dy}{dt}$ again consider following equation,

$\left ( y \right )^{2}+\left ( x \right )^{2}=\left ( l \right )^{2}$

Differentiate both sides of the equation with respect to t,

$\dfrac{d}{dt}\left(y^2+x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

Applying sum rule of derivative,

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(225\right)$

Applying power rule of derivative,

$2y\dfrac{dy}{dt}+2x\dfrac{dx}{dt}=0$

Simplifying,

$y\dfrac{dy}{dt}+x\dfrac{dx}{dt}=0$

Substituting the values,

$9\dfrac{dy}{dt}+12\times1.5=0$

$9\dfrac{dy}{dt}+18=0$

Subtracting both sides by 18,

$9\dfrac{dy}{dt}=-18$

Dividing both sides by 9,

$\dfrac{dy}{dt}= - 2$

Here, negative indicates that the ladder is sliding in downward direction.

$\therefore \dfrac{dy}{dt}= 2\:\dfrac{ft}{sec}$

7 0

3 years ago

Select all that are measures of angles coterminal

Drupady [299]

Answer:

The answer is -575°,−215°,505°,865°

8 0

3 years ago

san4es73 [151]

1/2x + 1 = 2/3x
1/2x - 2/3x = -1
-x/6 = -1
x = 6

Hope this helps!

7 0

3 years ago

Read 2 more answers

The quotient x of and 3

Ray Of Light [21]

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is <u>x3</u>

If the question says Quotient of x and 3 minus 8 then you can write it as <u>x3-8</u>

<u> $\large\sf\red{thank \: you}$ </u>

6 0

3 years ago

Hwlp plzzzzzzzzzzzz....<br><br>

kodGreya [7K]

Answer:

31= <F

Step-by-step explanation:

The angle measurements will still be the same

<B = <F

To find angle B

A+B+C = 180

26+B+123=180

149+B = 180

B = 180-149

B = 31

<B = <F

31= <F

4 0

3 years ago

Read 2 more answers