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3 years ago

7

Beth has a summer job that pays $9.76 an hour. She will be paid time-and-a-half for all hours over 40. Her boss told her that sh

e will work an average of 48 hours each week.

1 answer:

Zarrin [17]3 years ago

4 0

Beth will make about 507.52 per week.

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Laura just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in jus

svp [43]

So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !

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1 year ago

What radical expression is not simplified?

rodikova [14]

B 2/10 is not simplified because you can divide each number by 2 reducing it to 1/5.

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2 years ago

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions

kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height $= \frac{10}{4}$

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

$A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}$

For, A to be greatest ,

$\frac{dA}{dh} =0 = 10h-4h^{3}$

⇒ $h[10-4h^{2} ]=0$

⇒ $h^{2} =\frac{10}{4} {Since, h≠ 0}$

⇒ $h = ±\frac{\sqrt{10} }{2}$

Therefore, from equation (3), k = 5 - h²

⇒ $k=5-\frac{10}{4} =\frac{10}{4}$

Hence,

Width = 2h =√10 and

Height = $k =\frac{10}{4}.$

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2 years ago

Determine the volume of the tent?

katovenus [111]

Answer:

6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5

10.5(area of triangle) x 7.75(width) = 81.375

Formula of an area of a triangle:

BH x 1/2

Base x Height x 1/2(basically just dividing by 2)

Now the base:

1.5 x 7.75 x 6 = 69.75

Now let's add the two given volumes:

81.375+ 69.75 = 151.125 ft^3 is your answer.

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2 years ago

A golden rectangle has side lengths in the ratio of about 1 : 1.618. If the long side of a golden rectangle is 35 cm, what is it

enot [183]

$\bf 1:1.618\iff \cfrac{1}{1.618}\cfrac{\leftarrow \textit{small side=width}}{\leftarrow \textit{longer side=length}}\\\\
-----------------------------\\\\
\textit{now, what if the length is 35?}\to \cfrac{1}{1.618}=\cfrac{w}{\boxed{35}}$

solve for "w" to get the width

what's the area of a rectangle? length * width, or lw

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3 years ago