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3 years ago

A scale drawing of Jade's living room is shown below:

Mathematics

2 answers:

Travka [436]3 years ago

8 0

The answer is the C let me know if you need the work

Musya8 [376]3 years ago

5 0

Answer:

The answer is 18ft long and 12ft wide

Step-by-step explanation:

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If a rectangle has a perimeter of 70 and width of 21, what is the length

shusha [124]

The length would be 49

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3 years ago

A circle has a diameter of 7.2 inches.

navik [9.2K]

Answer:

22.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 7.2 inches

Approximating pi by 3.14

C = 3.14 * 7.2

C = 22.608

Rounding to the nearest tenth

C = 22.6

7 0

3 years ago

Direction: Transform each pair of equations into slope-interaction form (y=mx + b) and identify slope (m) and y-intercept (b). W

Lunna [17]

Answer:

will I write the answer in the copy and show you

7 0

3 years ago

Read 2 more answers

Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).

lutik1710 [3]

Answer:

The arc length is $\dfrac{21}{16}$

Step-by-step explanation:

Given that,

The given curve between the specified points is

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

The points from $(\dfrac{9}{16},1)$ to $(\dfrac{9}{8},2)$

We need to calculate the value of $\dfrac{dx}{dy}$

Using given equation

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

On differentiating w.r.to y

$\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})$

$\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}$

We need to calculate the arc length

Using formula of arc length

$L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}$

Put the value into the formula

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}$

$L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}$

$L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}$

$L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}$

Put the limits

$L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})$

$L=\dfrac{21}{16}$

Hence, The arc length is $\dfrac{21}{16}$

6 0

3 years ago

There is a blizzard, and Matt notices that the snow is falling at a constant rate. Two hours after the beginning of the snowstor

MaRussiya [10]

Answer:

2 inches per hour, 5 inches, y=2x+5

Step-by-step explanation:

No, I don't think I will

8 0

3 years ago