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3 years ago

Pq lies on plane PQR. Point S lies on plane PQR. qs does not lie on plane PQR. Which two statements contradict each other?

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer c: 2 and 3

Of course Q is on plane PQR. If S is as well, then QS is as well.

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45/14 as a decimal rounded to the nearest 10th

ozzi

Answer:

3.2

Step-by-step explanation:

3.21428571429 is the exact answer and rounded to the nearest tenth is the first number after the decimal.

4 0

2 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>

Recursive equation for the pattern followed is given by,

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

<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.

At,

n = 1

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

which is true.

At,

n = 2

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

Which is also true.

At,

n = 3

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

Which is true.

At,

n = 4

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

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

Therefore, the recursive equation for the pattern followed is given by,

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

3 0

3 years ago

Write the numeral for fifty million and sixty thousand

marishachu [46]

500060 is the answer

8 0

3 years ago

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Estimate the measure of the angle ? 85 70 235 310

alex41 [277]

Answer: 235 would be the estimate

5 0

3 years ago

What is 126/6 simplified to

MissTica

Answer: 21

Step-by-step explanation:

The reason why it's 21 because when you divide 126/6 you get a whole number instead of a mixed number.

7 0

3 years ago

Read 2 more answers