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-Dominant- [34]

4 years ago

9

Lara needs to split 4 square yards of fabric into 7 equal sections. Three of these expressions give the amount of fabric each se

ction will have. Which one does NOT?

2 answers:

Shtirlitz [24]4 years ago

6 0

Answer: D. 7 divided by 4

Step-by-step explanation:

Hi, the options are:

<em>A.4/7 </em>

<em>B. 1/7 of 4 </em>

<em>C. 4 divided by 7 </em>

<em>D. 7 divided by 4 </em>

So, to answer this we simply have to divide the number of yards (4) by the number of sections (7).

Mathematically speaking:

4 yards /7 sections = 7/4 = 0.57 yards of fabric per section.

So, options A and C are equal to the expression we deducted.

B is also correct. Because 1/7 x 4 = 0.57

So, the expression that does not give the amount of fabric each section will have is option D =7 divided by 4

Serggg [28]4 years ago

5 0

Answer:

See below.

Step-by-step explanation:

To find the amount in each section, divide the number of yards by the number of sections.

4/7 is the 4/7 yards per 1 section.

4/7 = 0.57 yards per 1 section.

etc.

Choose the option which DOES not represent these values.

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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

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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,

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

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

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

$\therefore x=\pm 12$

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

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

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.

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

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