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3 years ago

the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle

1 answer:

4 0

Width of a rectangle is half its length:
2w = l
Perimeter is 36
2w + 2l = 36

Plug first equation into second (substitution)

2w + 2(2w) = 36
2w + 4w = 36
6w = 36
w = 6

Plug back into first equation to solve for l

2(6) = 12 = l

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What is the answer to <br> 72 divide 0.75

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3 years ago

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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.75. Wi

Dafna1 [17]

Answer:

0.2915

Step-by-step explanation:

Let W represent water and D represent Dying probability

W = water

D = die

->If with water, it will die with probability 0.4

P(W & D) = 0.82 x 0.4 = 0.328

->Without water the plant will die with probability 0.75

P(W ' & D) = 0.18 x 0.75 = 0.135

Taking sum of the above values with water and without water.

P(D) = P(W & D) + P(W ' & D) = 0.4643

P(W ' | D) = P(W ' & D) / P(D)

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= 0.2915 ≈ 29.15%

Thus, the probability the neighbor forgot to water is 0.2915

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4 years ago

4x squared - 35 y squared

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$4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)$

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3 years ago

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kumpel [21]

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

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2 years ago

Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"

dsp73

For any scalars $c_1,c_2$ , we have

$c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w$

So

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w$

We have

$\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}$
$=\begin{vmatrix}12&-3\\4&-6\end{vmatrix}\mathbf i-\begin{vmatrix}-2&-3\\-7&-6\end{vmatrix}\mathbf j+\begin{vmatrix}-2&12\\-7&4\end{vmatrix}\mathbf k$
$=-60\,\mathbf i-(-9)\,\mathbf j+76\,\mathbf k$
$=\begin{bmatrix}-60\\9\\76\end{bmatrix}$

which makes

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}$

4 0

3 years ago