Four bands are going to play in a concert. In how many different orders can the bands play

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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A student has some $1 and $5 bills in his wallet. He has a total of 11
bills that are worth
$35.
How many of each type of bill does he have?

Answers

six five dollar bills and five one dollar bills hope this helps

Find the length of the apothem of a regular Pentagon with a side measuring 36 cm

Answers

24.75 cm is the length of the apothem of a regular Pentagon with a side measuring 36 cm.

In a regular pentagon, the apothem is the distance from the center of the pentagon to the midpoint of any side.

For a regular pentagon, all sides are equal in length and all interior angles are equal.

To find the apothem of a regular pentagon, you can use the following formula:

Apothem (a) = (Side Length) / (2 × tan(π / Number of sides))

In this case, for a regular pentagon, the number of sides (n) is 5, and the side length (s) is given as 36 cm.

Now, we can calculate the apothem:

Apothem (a) = 36 cm / (2×tan(π / 5))

First, let's calculate π / 5:

π / 5= 0.62832

Next, calculate the tangent of π / 5:

tan(π / 5) = 0.72654

Now, calculate the apothem:

Apothem (a) =36 cm / (2 × 0.72654)

= 36 cm / 1.45308

= 24.75 cm

So, the length of the apothem of the regular pentagon is approximately 24.75 cm.

To learn more on Polygons click here:

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See image below for explained answer

What is the value of y in the equation 2(3y-4)=10

Answers

$2(3y-4)=10\ \ \ |divide\ both\ sides\ by\ 2\n\n(2(3y-4))/(2)=(10)/(2)\n\n3y-4=5\ \ \ \ \ |add\ 4\ to\ both\ sides\n\n3y=9\ \ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{y=3}$

If you distribute the 2 on the left you end up with

6y-8=10

then add 8 to both sides

6y=18

then divide by 6 on both sides

y=3

and if you plug it back in it should equal 10

2((3)(3)-4)=10

10=10

a rainstorm produced a rainfall of 2 inches per hour how many hours would it take to get a rainfall amount of one foot

Answers

There are 12 inches in one foot. If it rains 2 inches per hour, that means it would take 6 hours to rain 12 inches, or one foot.

6 hours x 2 inches/hour = 12 inches or 1 foot

12 inches in 1 ft. 2 inches per hour. 12 divided by 2 = 6hrs.

On a Saturday, the ratio of the amount of water used by household A to the amount of water use by household B was 13 : 5. Household A used 260 gallons of water for that day. Find the total amount of water used by the two household on that Saturday.

Answers

Answer:the total amount of water used by the two households on that Saturday is 360 gallons

Step-by-step explanation:

Let x represent the total amount of water used by the two households on that Saturday. On that Saturday, the ratio of the amount of water used by household A to the amount of water use by household B was 13 : 5. The total ratio is 13 + 5 = 18

The amount of water used by household A would be

13/18 × total amount of water.

The amount of water used by household B would be

5/18 × total amount of water.

Since household A used 260 gallons of water for that day, it means that

13/18 × x = 260

13x = 260×18 = 4680

x = 4680/13 = 360

Step-by-step explanation:

this is my answer I guess this will help

Find the new amount. 25 penalties decreased by 32% is penalties.