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2 years ago

Radical of 80 simplified

Mathematics

2 answers:

schepotkina [342]2 years ago

8 0

Answer:

4 √ 5

Step-by-step explanation:

√80

= 4 √ 5 ≈ 8.94

Marta_Voda [28]2 years ago

4 0

Answer:

√80

Rewrite as √16⋅5

√ 16 √5

The square root of 16 is 4, and 5 isn't a square root so 4√5 is the final answer.

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nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

$\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx$

Simplify:

$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

Evaluate:

$\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3$

The volume of the solid is π/40 cubic units.

4 0

3 years ago

The midpoint between points (-3, 8) and (3, -4) is (0, y). What is y?

Sonbull [250]

The midpoint between points (-3, 8) and (3, -4) is (0, 2)

5 0

3 years ago

Cora sliced 18 \text{ kg}18 kg18, start text, space, k, g, end text of apples for a party. She divided the apple slices equally

Vikentia [17]

Answer:

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Step-by-step explanation:

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Since,

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3 years ago

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Misha Larkins [42]

Answer:

the book is 50$

Step-by-step explanation:

i know im right

8 0

3 years ago

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the r

Amanda [17]

Answer:

45; 9

Step-by-step explanation:

1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.

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5) if to make up the system of two equations, then:

$\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.$

6) rate of the boat in still water: 45 km/h;

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3 years ago