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Alex_Xolod [135]
2 years ago
5

Please help its my last question

Mathematics
1 answer:
Rom4ik [11]2 years ago
7 0

Answer:

Vertical angles

Step-by-step explanation:

A and C are formed by the same lines and are opposite.  A and C are vertical angles

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The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x
jok3333 [9.3K]

Answer:

B. x^3 + 3x^2

Step-by-step explanation:

Volume of a rectangular prism=width * length * height

V=w*l*h

h=3 greater than the length of the base

h=x+3

Length of the base=x

Width=x

Substituting values into the formula

V=w*l*h

=(x)*(x)*(x+3)

Multiplying

=(x^2)(x+3)

=x^3 + 3x^2

Option B is the correct answer

5 0
3 years ago
Two dice are tossed. The probability that the total score is a prime number is:​
andrew11 [14]

Step-by-step explanation:

50/50 it's random I think but I learned that in science

8 0
3 years ago
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An athlete trains for 95 min each day for as many days as possible.Write an equation that relates the number of days d that the
mrs_skeptik [129]
855=95d

855 minutes is equal to 95 minutes times the number of days run
6 0
3 years ago
A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
mariarad [96]
<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
2 years ago
What is 1 2/3 as an inproper fraction?​
lesantik [10]

Answer:

5/3

Step-by-step explanation

1 2/3 = 5/3

3/3 + 2/3 = 5/3

6 0
3 years ago
Read 2 more answers
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