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3 years ago

Help please with these questions

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

1. There is a 1/5 chance you will get a blue one from both bags.

2. There is a 3/32 chance you will get a 1 and then a 2.

3. There is a 5/12 chance of rolling a factor of 12 and then an odd number.

Step-by-step explanation:

Question 1

Add all the marbles together.

3 + 2 = 5

4 + 2 = 6

Make a fraction.

blue/all

Use it on the numbers.

3/5

2/6

Multiply them together.

6/30

Simplify.

1/5

There is a 1/5 chance you will get a blue one from both bags.

Question 2

Add all the numbers together.

There are 8.

Make the two crucial fractions.

ones/all

twos/all

Use them.

3/8

2/8

Multiply them together.

6/64

Simplify.

3/32

There is a 3/32 chance you will get a 1 and then a 2.

Question 3

Find the factors of 12.

1, 2, 3, 4, 6

Make a fraction.

factors/all

Use the fraction.

5/6

Find the odd numbers.

1, 3, 5

Make a fraction.

odd/all

Use the fraction.

3/6

Multiply them together.

15/36

Simplify.

5/12

There is a 5/12 chance of rolling a factor of 12 and then an odd number.

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What is the answer to the equation 63.14 x 2.08

bazaltina [42]

Answer: 131.3312

Step-by-step explanation:

63.14 * 2.08 = 131.3312

3 0

3 years ago

Read 2 more answers

If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.

Radda [10]

Answer: The answers is (B) equal areas.

Step-by-step explanation: Given that two triangles have equal perimeters.

As shown in the attached figure, let us consider two right-angles triangles, ΔABC and ΔDEF, with sides AB = 3 cm, BC = 4 cm, AC = 5 cm, DE = 4 cm, EF = 3 cm and DF = 5 cm.

So the perimeters of both the triangles = 3 + 4 + 5 = 4 + 3 + 5 = 12 cm.

Since volume term is not valid in case of triangles, so they cannot have equal volumes. Therefore, option (A) is incorrect.

Area of ΔABC is

$A_{ABC}=\dfrac{1}{2}\times AB \times BC = \dfrac{1}{2}\times 3\times 4=6~\textup{cm}^2,$

and area of ΔDEF is

$A_{DEF}=\dfrac{1}{2}\times DE\times EF=\dfrac{1}{2}\times 4\times 3=6~\textup{cm}^2.$

Therefore, they may have equal areas and so option (B) is correct.

If the triangles have equal bases, then the heights will also be equal and both the triangles will be same. Similar is the case with equal heights. So, options (C) and (D) are incorrect.

Thus, the correct option is (B). equal areas.