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3 years ago

An 8-foot rope is tied from the top of a pole to a stake in the ground,as shown in the diagram below.

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer = B
Hope this helps

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Simplify the following expression

Kay [80]

Answer:

$\frac{98p^{6}}{q}$

Step-by-step explanation:

Distribute the exponents

$(\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}$

$(\frac{q}{98p^{6}} )^{-1}$

Distribute the -1

$\frac{98p^{6}}{q}$

6 0

3 years ago

Three-fourths of a number is greater than or equal to nine less than a number.

NARA [144]

Answer:

$\frac{3}{4} x \geqslant x - 9$

8 0

3 years ago

Please help they’re 2 questions

IgorLugansk [536]

i think it’s is a for the first one

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

3 years ago

4. The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has

RUDIKE [14]

Answer:

i got 38

Step-by-step explanation:

6 0

3 years ago