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3 years ago

Jack is framing the roof of a structure using a triangle and two exterior angles.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

4 0

The answer is A and B

sergeinik [125]3 years ago

4 0

Answer:

a b

Step-by-step explanation:

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ABCD is a parallelogram. Find the indicated measure:

uranmaximum [27]

Answer:

12 12 12 12 12 12 12 12 12 1 2 12 12

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2 years ago

The circumference of a circle is 147 cm. What is the radius of the circle?

ioda

Answer:

r≈23.4cm

Step-by-step explanation:

4 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>

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

2 years ago

Find the measure of 0. (to the nearest tenth). A) 36.9 B) 38.7 C) 51.3 D) 53.1

kupik [55]

Answer:

B) 38.7

Step-by-step explanation:

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2 years ago

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A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15 years, to the nearest whole n

RUDIKE [14]

Answer: 7,625

Step-by-step explanation:

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2 years ago

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