1) 31^3 12^10

Answer:

**Answer:**

1,844,580,200,000,000 = 1.8445802×10^15

**Step-by-step explanation:**

31^3 x 12^10

31^3 = 31 x 31 x 31

12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12

31^3 = 29791

12^10 = 61917364224

29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15

Answer:

**Answer:**

the firs one

**Step-by-step explanation:**

Explain how you can use the Triangle Sum Theorem to find the measures of the angles in an equilateral triangle.The angles of an equilateral triangle are . Let the measure of each angle be x. Then, by the Triangle Sum Theorem, x + x + x = 3x = °_____________. Solving for x gives x = °____________.

Decorating your house for Christmas takes 106ft of lights. You use two lengths of lights,the short length of lights is 5 ft and the long length of lights is 11 ft. The total number ofstrings of lights you use is 14. How many of each type of light do you have?

Using the diagram in #1, which segment(s) are parallel to BC?

The hypotenuse of a right triangle is 10 meters and its legs measure x and x + 2. How long are the legs?

IF U GET THE RIGGT ANSCER I WILL MARK U AS!! The prices and sizes of popcorn sold at local theaters are shown in the table. Popcorn Prices and Sizes at Different Theaters Ounces Price CinePlex 100 $8.25 Mr. Movie 96 $7.00 Stadium Cinema 112 $6.50 Theater Mania 136 $7.50 Which theater's popcorn is the best buy? O Cine Plex O Mr. Movie O Stadium Cinema O Theater Mania

Decorating your house for Christmas takes 106ft of lights. You use two lengths of lights,the short length of lights is 5 ft and the long length of lights is 11 ft. The total number ofstrings of lights you use is 14. How many of each type of light do you have?

Using the diagram in #1, which segment(s) are parallel to BC?

The hypotenuse of a right triangle is 10 meters and its legs measure x and x + 2. How long are the legs?

IF U GET THE RIGGT ANSCER I WILL MARK U AS!! The prices and sizes of popcorn sold at local theaters are shown in the table. Popcorn Prices and Sizes at Different Theaters Ounces Price CinePlex 100 $8.25 Mr. Movie 96 $7.00 Stadium Cinema 112 $6.50 Theater Mania 136 $7.50 Which theater's popcorn is the best buy? O Cine Plex O Mr. Movie O Stadium Cinema O Theater Mania

There are **34 people** in the **garden prior **to the time** I joined t**hem.

So when** I entered **the **garden**, the** total number** of people in the **garden **will be:

- 34 + 1 =
**35 people**

Let assume, you as the reader was part of the **people **in the **garden **and you **hugged 30 people**. That **doesn't add up **or **increase **the number of people in the garden.

At the end of the day, the **number of people** you did not **hug **is:

35 - 30 - 1(you)

= 35 - 31

**= 4 people**

Therefore, we can conclude that there are **35 people****present **in the** garden.**

Learn more about **word problems** here:

**Answer:**

34

**Step-by-step explanation:**

The wall area is the product of the room perimeter and the room height:

A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is

A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is

A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be

1.1*(A₁ - A₂)/A₃ ≈ 4.74

**5 rolls of wallpaper should be purchased.**

_____

As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).

A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is

A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is

A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be

1.1*(A₁ - A₂)/A₃ ≈ 4.74

_____

As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).

HURRY

**Answer:**

135

**Step-by-step explanation:**

**Answer:**

135

**Step-by-step explanation:**

(1+2+3+4+5)= 15

(1*2*3*4*5)= 120

15+120=135

By the product rule,

so that

By the quotient rule,

so that

**Answer:**

0.8333%

**Step-by-step explanation:**

Assuming that **there is only one possible shortest route,** the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

**There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.**

**Answer:**

**Step-by-step explanation:**

(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"

and if we divide by "the product of 5 times x and the difference of x and 1," we get

(4 + 9x)^3

-----------------------

5x(x - 1)

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