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2 years ago

Mia is rolling a pair of 6-sided dice.

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

irga5000 [103]2 years ago

4 0

Answer:

integers

Step-by-step explanation:

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Triangle ABC is an obtuse triangle with the obtuse angle at the vertex B angle A must be?

alekssr [168]

Acute. No triangle can have more than 1 obtuse angle.

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1 year ago

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A book costs d dollars.

bazaltina [42]

Answer:

The total amount paid by Jill = $ (3 d)

Step-by-step explanation:

Here, the cost of 1 book = $ d

Now, the number of books purchased by Jill = 3

So, the total cost of 3 books = 3 x ( Cost of 1 book)

= 3 x ($d) = 3 d

So, if Jill purchased 3 books, the total amount paid by her = $ (3 d)

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1 year ago

Jack has a 8-ft long board. he cut off 1/6 of it how long is the remaining piece in feet and inches

mars1129 [50]

First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.

Length of cut = 8(1/6) = 4/3 ft

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2 years ago

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl

Naily [24]

Answer:

Part A: $\triangle RPQ \sim \triangle RSP$

Part B. All angles are same, so the triangles are similar.

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle $\triangle RPQ$ with $\angle P = 90^\circ$ .

PS is perpendicular to the hypotenuse RQ of $\triangle RPQ$ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

$\triangle RPQ \sim \triangle RSP$ .

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles $\triangle RPQ \ and\ \triangle RSP$ .

$\angle RSP =\angle RPQ =90^\circ$

Also, $\angle R$ is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles $\triangle RPQ \ and\ \triangle RSP$ are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that $\triangle RPQ \sim \triangle RSP$ .

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

$\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}$

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2 years ago

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Sergio [31]

Answer:

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Step-by-step explanation:

6.06060606061

and you round up making it 6.1

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2 years ago