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3 years ago

How could i determine the volume of an object that had an irregular shape? (i can’t measure it with a ruler)

Mathematics

1 answer:

goblinko [34]3 years ago

5 0

Answer:

The volume of an irregular shape can be found by placing it in a can (of known volume) of water. The amount of water the shape displaces is equal to its volume.

Boat will float. It has a lower density that that of water.

Step-by-step explanation:

If an object has a lower density than the fluid it is in, it will float. If higher, it will sink.

Assuming the water is at room temperature:

Density of water, $p_{w}=1000kg/m^3$

Density, $p = \dfrac{m}{V}$

Mass of boat=19,000,000

Volume of boat=45,000 $m^3$

$p_{b}=\frac{19,000,000kg}{45,000m^3}\\p_{b}=422.22kg/m^3$

$p_{w}>p_{b}$

Therefore the boat will float on water.

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Find the missing Factor of ×9=90

n200080 [17]

Answer:

x=10

Step-by-step explanation:

9×10=90 That is how I got the answer.

5 0

3 years ago

(I've been trying to figure this out for 3 days and I really need help)

liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7$

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55$

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

pretty much the same thing, we get the volume of the cone and its top, add them up.

$\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^$

8 0

3 years ago

20 points!!! first answer gets brainliast. Don't need too much explanation thank you!

KengaRu [80]

Answer:

The answer to your question is below

Step-by-step explanation:

2. $\sqrt{-128}$ Just find the prime factors of 128 and simplify

$\sqrt{-2^{7}} = \sqrt{-2^{6} 2} = 2^{3}i \sqrt{2}$

$8i\sqrt{2}$

3.- $\sqrt{-9} + \sqrt{-16}$ Get the square roots and simplify

3i + 4i

4.- None of the choices is equal to one, because the exponents are pair.

5.- 1/3x² + 10 = 7

1/3x² = 7 - 10

1/3x² = -3

x² = -3(3)

x² = -9

x = ±3i

8 0

3 years ago

A circle has an area of 40 square inches. Find the radius to 2 decimal places.

Oksanka [162]

The area of a circle is given by

$A=\pi r^2$

We can solve this equation for r: divide both sides by pi:

$r^2=\dfrac{A}{\pi}$

Consider the (positive) square root of both sides:

$r = \sqrt{\dfrac{A}{\pi}}$

So, in your case, we have

$r = \sqrt{\dfrac{40}{\pi}}\approx 3.57$

7 0

3 years ago

If the car wheel rotates 5 times per second about how many miles does the car travel in one hour??

iVinArrow [24]

Answer:

18000

Step-by-step explanation:

If we want to find how many miles it travels in one hour, we need to find jow many seconds are in one hour because as the problem said, it's wheel rotates 5 times per second.

there are 3600 seconds in an hour, so we multiply 3600 by 5, and we get 18000.

The car travels 18000 miles in one hour.

8 0

2 years ago