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3 years ago

What is the opposite of factoring

Mathematics

2 answers:

adelina 88 [10]3 years ago

8 0

Answer:

expanding i think....

ASHA 777 [7]3 years ago

7 0

Answer:

simplifying

Step-by-step explanation:

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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

The center of a circle is at (2, -5) and it's radius is 12. What is the equation of the circle?

Svetach [21]

The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.

8 0

3 years ago

Read 2 more answers

brine's kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as brine's pantry. if the pantry is 3

maks197457 [2]

So 81/9=9 so area of pantry is 9

3 times x=9
3x=9
divide both sides by 3
x=3

legnth/width=3

8 0

3 years ago

What would be the answer of 5(x-2)=30 in dustributive property

lisabon 2012 [21]

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

3 0

3 years ago

Read 2 more answers

Find the perimeter of 24+2×+11 and 6×-8+7×-19+24

Kipish [7]

Answer:

Step-by-step explanation:

4 0

3 years ago