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aleksley [76]
4 years ago
5

Diego is making a large mural. He draws a hexagon with a perimeter of 10.5 meters. Each side of the hexagon is the same length.

Mathematics
1 answer:
miss Akunina [59]4 years ago
7 0

Answer:

Part A: 6a = 10.5 and a = 1.75 meters.

Part B: $3.87.

Step-by-step explanation:

Part A: Diego draws a hexagon with a perimeter of 10.5 meters and each side of the hexagon is the same length.

Now, the hexagon has 6 sides and if each side is of length 'a' meters, then the equation that models the situation is  

6a = 10.5 ......... (1) (Answer)

⇒ a = 1.75 meters. (Answer)

Part B:

The total cost of supplies to paint the mural is $38.70. Diego and 9 friends divide the cost equally.

Hence, the total cost will be divided into 10 persons.

Therefore, each person will get \frac{38.70}{10} = 3.87 dollars. (Answer)

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Ariel is filling a giant ball with air. The radius of the beach is 30cm. What is the volume of air that the beach ball will hold
Harman [31]

Answer:

The volume of the air that the beach ball will hold is 113,142.85 cm³.

Step-by-step explanation:

Sphere:

  • It is a three dimension shape.
  • It has a center.
  • Volume= \frac43 \pi r^3, r is the radius of it.
  • Surface area= 4πr².

Given that,

Ariel is filling a giant ball with air.

The ball is sphere in shape.

The volume of air = The volume of the ball.

The radius of the beach ball is 30 cm.

The volume of the ball is \frac 43 \pi r^3

                                      =\frac43 \pi (30)^3 cm³

                                      =36,000π cm³

                                      =113,142.85 cm³

The volume of the air that the beach ball will hold is 113,142.85 cm³.

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3 years ago
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Paha777 [63]

Answer: 11

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Answer:

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How do you simplify 3 1/4 x 3/5 someone please help me
kifflom [539]

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) =  (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

6 0
3 years ago
When x is decreased by 129 and then that number is multiplied by 129, the result is 129. What is the value of x?
myrzilka [38]

Answer:

Step-by-step explanation:

twice the difference of a number and 3 is added to 4

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