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anyanavicka [17]
3 years ago
12

A rectangle has a length of 2 6√ and width of 6√ . Find the perimeter of the rectangle.

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
8 0
  • L=2root6
  • B=root6

\\ \rm\Rrightarrow Perimeter=2(L+B)

\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})

\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})

\\ \rm\Rrightarrow Perimeter=6\sqrt{6}

Elena L [17]3 years ago
6 0

Answer:

6sqrt(6)

<em>BRAINLIEST, PLEASE!</em>

Step-by-step explanation:

2sqrt(6) x 2 = 4sqrt(6)

sqrt(6) x 2 = 2sqrt(6)

4sqrt(6) + 2sqrt(6) = 6sqrt(6)

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The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po
sladkih [1.3K]

Answer:

\displaystyle C=\left(\frac{26}{9}, 2\right)

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

\displaystyle \frac{dy}{dx}=3x^2-3

Point A has an <em>x-</em>coordinate of -1. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0

Find the <em>y-</em>coordinate of Point A using the original equation:

y(-1)=(-1)^3-3(-1)=2

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

y-2=0(x-(-1))

Simplify:

y=2

Point B has an <em>x-</em>coordinate of 4. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45

Find the <em>y-</em>coordinate of Point B:

y(4)=(4)^3-3(4)=52

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

y-52=45(x-4)

Simplify:

y=45x-128

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for <em>x: </em>

2=45x-128

We acquire:

\displaystyle x=\frac{26}{9}

Since one of our equations is <em>y</em> = 2, the <em>y-</em>coordinate is 2.

Hence, Point C is:

\displaystyle C=\left(\frac{26}{9}, 2\right)

5 0
3 years ago
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3 years ago
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

p_{hat} ± z.\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }

p_{hat} is the proportion:

p_{hat} = \frac{1455}{2957}

p_{hat} = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.\sqrt{\frac{0.49(1-0.49)}{2957} }

0.49 ± 2.576.\sqrt{\frac{0.49*0.51}{2957} }

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0
3 years ago
If 3 bars of chocolate cost $15.00 ghana cedis how much will 7 bars cost ratio
Rudiy27

Answer:

7 chocolate bars will cost $35

Step-by-step explanation:

if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35

here is a ratio:

<u>3</u> = <u>7</u>

15 = 35

6 0
3 years ago
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