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charle [14.2K]
3 years ago
5

What is the exact volume of the cylinder?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0
The volume of the cylinder is based on the formula: Volume = base * height where base is the circular shapebase area is equal to pi r^2. radius in this case is 3 inches and height is 6 inches. Hence the volume is pi * 3^2 *6 or equal to 54 pi. The answer to this problem is C. 54 pi in3.
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100 points + brainiest
Scrat [10]

Answer:

  • 35 grams of 11.43% solution

Step-by-step explanation:

The end solution has same volume as initial volumes of mixture.

  • 10 + 25 = 35 g

The concentration of solution is calculated as below

  • 10*0.15 + 25*0.1 = 4 g
  • 4 / 35*100% = 11.43% (rounded)

6 0
2 years ago
Rick and Sara have two children, Marcos and Jade. Use the clues to determine their ages. Rick is 4 years younger than Sara. Marc
Morgarella [4.7K]

Step-by-step explanation:

Let age of rick = x

age of sara = y

age of marcos = a

age of jade = b

Rick is 4 years younger than Sara.

x = y - 4

Marcos is 3 years older than Jade.

a = b + 3

Rick's age is twice the age of Marcos and Jade's ages combined.

x = 2(a+b)

The youngest is 9 years old.

The youngest is jade because rick and sara are the parents and marcos is older than she is.

b = 9

How old is each??

a = b + 3

a = 9 + 3 = 12

Marcos is 12 years old

x = 2(a+b)

x = 2 (12 + 9)

x = 2 (21) = 42

Rick is 42 years old

x = y - 4

42 = y - 4

y = 42 + 4 = 46

Sara is 46 years old

8 0
3 years ago
Someone please help I’m lost
luda_lava [24]
It’s because it’s intersecting so WXY and ZYX are congruent
4 0
2 years ago
Read 2 more answers
What does 4 raised to the 3/2 power equal?
GarryVolchara [31]
The answer to the question is 8
8 0
3 years ago
Read 2 more answers
What is the area of the equilateral triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2
Paul [167]

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

This question is incomplete, the complete question is:

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?

<h3>What is a triangle?</h3>

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

An equilateral triangle is a triangle with all its three sides having the same length

The area of an equilateral triangle is expressed as;

A = ((√3)/4)a²

Where a is the length of the side

Perimeter of an equilateral triangle is expressed as;

P = 3a

Where a is the length of the side

Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;

P = 3a

22.45cm = 3a

a = 22.45cm / 3

a = 7.48cm

Now, the area of the equilateral triangle will be;

A = ((√3)/4)a²

A = ((√3)/4) × (7.48cm)²

A = 0.433 × 55.9504cm²

A = 24.2cm²

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

Learn more about triangles here: brainly.com/question/19305981

#SPJ4

5 0
2 years ago
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