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3 years ago

Mplify the expression: | 5q + 84 - 94 + 84

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:

5q+74

Step-by-step explanation:

84+84=168

168-94=74

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A line passes through the point (-7,5) And has a slope of 1/2 which is another point that the line passes through

Licemer1 [7]

(9,13) would be another point that the line passes through.

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3 years ago

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

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3 years ago

The frame is a rectangle that’s 16 inches by 20 inches. The craft store has 7 feet of orange ribbon. Is that enough ribbon for L

Nutka1998 [239]

Hi!

Imagine a rectangle with a width of 20 inches, and a height of 16. Find the length around the rectangle (the perimeter).

16+20+16+20=72

There are 12 inches in a feet. How many feet are in 72 inches?

72/12=6

Lana needs 6 feet of ribbon. She bought 7 feet.

7-6=1

It is enough ribbon.
1 foot will be leftover.

Hope this helps! :)
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3 years ago

A rectangular prism has a length of 5/2 ft, width of 9/6 ft, and height of 2/3 ft. what is its volume?

ivanzaharov [21]

The formula of the volume of the rectangular prism:

V = length × width × height

We have:
$l=\dfrac{5}{2}ft\\\\w=\dfrac{9}{6}ft\\\\h=\dfrac{2}{3}ft\\\\V=l\cdot w\cdot h=\dfrac{5}{2}\cdot\dfrac{9}{6}\cdot\dfrac{2}{3}\\\\=\dfrac{5}{2}\cdot\dfrac{1}{1}\cdot\dfrac{1}{1}=\dfrac{5}{2}=2.5ft.^3$

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3 years ago

Can someone help me with this!!

34kurt

Answer:

Step-by-step explanation:

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3 years ago