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GenaCL600 [577]

3 years ago

15

The area of a rectangular wall of a barn is 70 square feet. its length is 4 feet longer than twice its width. find the length an

d width of the wall of the barn.

1 answer:

NNADVOKAT [17]3 years ago

5 0

Hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

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Find the cost of 100gram at 85p per 1/2 kg?

Yuki888 [10]

85p per (1/2) kg.

1 kg = 1000g, (1/2)kg = (1/2) * 1000 = 500 g

It means:

500g cost 85p

1g would cost 85p/500

100g would then cost (85p/500) * 100 = 19p

Cost of 100g is = 19p

Hope this explains it.

6 0

4 years ago

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

Sheila eats 3/4 of a bag of baby carrots each week. How many bags of baby carrots does she eat in 6 weeks?

Katyanochek1 [597]

Multiply 6 by 3/4:
$\frac{3}{4} \times6= \frac{3}{2}\times3=\frac{9}{2}$

6 0

3 years ago

Read 2 more answers

Area of the grass area only:<br><br> Area of the track only:

VikaD [51]

Answer:

Step-by-step explanation:

area including track=area of 2 semi circles+area of rectangle

=2×1/2×π×46²+86×65

=2116 π+5590

area of grass=2×1/2×π×40²+80×65=1600π+5200

≈10226.55 m²

area of track=2116π+5590-1600π-5200

=516π+390

≈2011.06 m²

7 0

3 years ago

Which of the following observations of children is the most objective?

Ivan

I'd say D. A uses words that suggest the author has an opinion of Alex's behavior that is unfavorable. B uses the words "obviously less disciplined" to refer to Sue, which is clearly an opinion and also rather unfavorable. C makes assumptions as to Joan's emotions toward Mary, which cannot be ascertained objectively without asking Joan. D is a clear statement of the facts without embellishment.

EDIT: Note that the definition of objective is not influenced by opinions or beliefs, as opposed to subjective.

5 0

3 years ago

Read 2 more answers