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3 years ago

√(-180 In simplest radical form

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Answer:

6i $\sqrt{5\\}$

Step-by-step explanation:

6i $\sqrt{5\\}$

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

3 years ago

So who said i was not good at math???? me i did lol

marysya [2.9K]

Answer:

I got 10 grade on my 7th iready test

Step-by-step explanation:

Just try your best ;-;

5 0

3 years ago

Read 2 more answers

Solve 2x + 2 > 10 A. x<6 B. x>6 C. x>4 D. x<4

melamori03 [73]

The answer is c) x>4

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4 years ago

Find the square root of -36. A-6 B 6 C Cannot be done

r-ruslan [8.4K]

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

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3 years ago

What is the perimeter of a triangle with the given side lengths? s1 = x – 3 ft s2 = x 2 ft s3 = x 4 ft

choli [55]

The perimeter of the triangle with those given lengths is $x7-3$

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4 years ago