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Anvisha [2.4K]
2 years ago
8

What is the greatest common factor of 3x4, 15x3, 21x2

Mathematics
1 answer:
Sonja [21]2 years ago
6 0

Answer:

3x^2

Step-by-step explanation:

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You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the v
marin [14]

Answer:

46.67 cubic feet

Step-by-step explanation:

The formula for volume of a pyramid is

V = (1/3)Bh      where B is the area of the base, and h is the height.

We are givne B = 35 and h = 4.  Plug those values in and simplify...

V = (1/3)(35)(4)

 

  V = (1/3)(140)

       V = 140/3

             V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth

7 0
3 years ago
A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an
pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = \frac{18}{37}

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = \frac{10}{37}

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = \frac{19}{37}

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = \frac{18}{37}+\frac{19}{37}-\frac{10}{37}

∴ P(small or green) = \frac{27}{37} = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

5 0
2 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i
nasty-shy [4]

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

8 0
3 years ago
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
Verizon [17]

Answer:

Area of Pool cover: 110.25π

Length of rope: 21π

Step-by-step explanation:

To find the area of a circle the formula is πr^2.

1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π

To find the length of the rope(circumference) the formula is 2πr.

1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π

____________________________________________________________

If ur teacher wants you to use 3.14 as pi then these are your answers:

Area of Pool cover: 346.185, round up to 346.19 if needed

Length of rope: 65.94

8 0
3 years ago
________ is a mathematical sentence written with a greater than
xeze [42]

Answer: An inequality

Step-by-step explanation:

An inequality is a mathematical sentence written with a greater than

sign, or less than sign, or equal to sign or not equal to sign or more than two of these signs at the same time to join two expressions.

7 0
3 years ago
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