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2 years ago

11

The ice at a certain hockey rink is made by freezing water that is 1.5 inch deep. how many gallons of water does it take? approx

imate the rink as a 200 ft by 85 ft rectangle

1 answer:

storchak [24]2 years ago

5 0

The rink has a dimension of 200 ft* 85 ft = 17000 $ft^{2}$

depth = 1.5 inch that becomes $\frac{1.5}{12}$ = 0.125 ft

So total volume of the water required = 17000* 0.125 = 2125 $ft^3$

Now 1 cubic foot of water= 7.480 gallons

Hence total gallons required are 2125 * 7.480 gallons = 15895 gallons.

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zhannawk [14.2K]

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2 years ago

BD is tangent to circle O at C, m(arc AEC) = 280, and m(arc ACE) = 140. Find m (The figure is not drawn to scale.)

Zepler [3.9K]

Answer:

The correct answer is second option 60°

Step-by-step explanation:

From the figure we can write,

measure of arc AEC = measure of arc AE + measure of CE

measure of arc ACE = measure of AC + measure of CE

measure of arc AEC + measure of arc ACE = 280 + 140 = 420°

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2 years ago

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2 years ago

2 2/3× 4 1/5 help me plzzzzz!!!

Rus_ich [418]

First let's multiply the whole numbers 2 and 4. Obviously that is 8. Now let's put aside the whole number and multiply fractions.

2/3 x 1/5 is equal to 2x1/3x5 so it's 2/15 which is already in simplest form.

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2 years ago

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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3 years ago