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LUCKY_DIMON [66]
2 years ago
11

What is the approximate area of the shaded region?

Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

Answer:

A

Step-by-step explanation:

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The missing angle is: 25 degrees
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3 years ago
I need to multiply 10,170 by 0.775​
Vinvika [58]

Answer:

7881.75

Step-by-step explanation:

10,170x0.775

5 0
3 years ago
Read 2 more answers
Sydney and Mila go to the movie theater and purchase refreshments for their friends. Sydney spends a total of $28.50 on 9 drinks
iogann1982 [59]

The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is:

9x + 2y = 28.50

5x + 10y = 42.50

The price of a bag of popcorn is $3.00

Step-by-step explanation:

Sydney and Mila go to the movie theater and purchase refreshments for their friends

  • Sydney spends a total of $28.50 on 9 drinks and 2 bags of popcorn
  • Mila spends a total of $42.50 on 5 drinks and 10 bags of popcorn

We need to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn and using these equations, to determine and state the price of a bag of popcorn

Assume that the price of each drink is $x and the price of each bag of popcorn is $y

∵ Sydney spends a total of $28.50 on 9 drinks and 2 bags of popcorn

∵ The price of each drink is $x

∵ The price of each bag of popcorn is $y

- Multiply 9 by x and 2 by y, add the products and equate the

   sum by 28.50

∴ 9x + 2y = 28.50 ⇒ (1)

∵ Mila spends a total of $42.50 on 5 drinks and 10 bags of popcorn

∵ The price of each drink is $x

∵ The price of each bag of popcorn is $y

- Multiply 5 by x and 10 by y, add the products and equate the

   sum by 42.50

∴ 5x + 10y = 42.50 ⇒ (2)

The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is:

9x + 2y = 28.50

5x + 10y = 42.50

Lets solve the system of equations

∵ 9x + 2y = 28.50 ⇒ (1)

∵ 5x + 10y = 42.50 ⇒ (2)

- Multiply equation (1) by -5 to eliminate y

∵ -45x - 10y = -142.50 ⇒ (3)

Add equations (2) and (3)

∴ -40x = -100

- Divide both sides by -40

∴ x = 2.5

Substitute the value of s in equation (1) or (2) to find y

∵ 9(2.5) + 2y = 28.50

∴ 22.5 + 2y = 28.50

- Subtract both sides by 22.5

∴ 2y = 6

- Divide both sides by 2

∴ y = 3

The price of a bag of popcorn is $3.00

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

8 0
4 years ago
Which number gives you an irrational product when you multiply it by 2
soldi70 [24.7K]
<h2>Explanation:</h2><h2></h2>

An irrational number is a number that can't be written as a simple fraction while a rational number is a number that can be written as the ratio of two integers, that is, as a simple fraction. So in this case we have the number 2 which is ration, and we can multiply it by an irrational number n such that the product is an irrational number. So any irrational number will meet our requirement because the product of any rational number and an irrational number will lead to an irrational number. For instance:

\bullet \ 2\sqrt{2} \\ \\ 2 \ is \ rational \\ \\ \sqrt{2} \ is \ irrational \\ \\ 2\sqrt{2} \ is \ irrational \\ \\ \\ \bullet \ 2\pi \\ \\ 2 \ is \ rational \\ \\ \pi \ is \ irrational \\ \\ 2\pi \ is \ irrational

6 0
3 years ago
he Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 1.5 times its heigh
tatiyna

Answer:

5.54 feet.

Step-by-step explanation:

Let h be the height of the pool and r be the radius of the pool.

We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.

We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:

r=1.5*h...(1)

\text{Volume of cylinder}=\pi r^2h

Substituting equation (1) in volume formula we will get,

\text{Volume of cylindrical pool}=\pi (1.5h)^2*h

Substituting the given volume of pool in formula we will get,

1200=\pi (1.5h)^2*h

1200=\pi*2.25*h^2*h

1200=\pi*2.25*h^3

Let us divide both sides of our equation by 2.25 pi.

\frac{1200}{2.25\pi}=\frac{\pi*2.25*h^3}{2.25\pi}

169.7652726=h^3

Let us take cube root of both sides of our equation.

\sqrt[3]{169.7652726}=h

5.537=h

h=5.537\approx 5.54

Therefore, the height of the pool is approximately 5.54 feet.

8 0
3 years ago
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