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4 years ago

Perimeter of a quarter circle is 17.85 what is the quarter circles radius

Mathematics

1 answer:

givi [52]4 years ago

4 0

The radius of the given circle is 2.84 units

Step-by-step explanation:

Step 1 :

Given

The perimeter of a quarter table is 17.85

We need to find the circle's radius.

Step 2 :

The circle's perimeter is given by the formula, 2 $\pi$ r where r represents the circle's radius

So from this we have ,

2 $\pi$ r = 17.85

We can determine the radius by dividing the perimeter value by 2 $\pi$

= > r = 17.85 divided by 2 $\pi$ r

= 2.84 [ taking $\pi$ = $\frac{22}{7}$ ]

Step 3 :

Answer :

The radius of the given circle is 2.84 units

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3 years ago

The double number line shows that 4 bottles of water cost 10 dollars at a music festival

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Step-by-step explanation:

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3 years ago

Each variable indicates different weights. Which weight can you find? Find it.

SOVA2 [1]

Answer:

We can only be certain that a weighs 12.

There are infinitely many possiblities for b and c.

Step-by-step explanation:

We have the equation:

$a+b+c+a+c+b+a+c=12+a+a+b+b+c+c+c$

Each variable indicates a weight.

We would like to determine the weights of each variable (if possible).

First, we can rearrange the equation to acquire:

$(a+a+a)+(b+b)+(c+c+c)=12+(a+a)+(b+b)+(c+c+c)$

We can combine like terms:

$3a+2b+3c=12+2a+2b+3c$

Notice that both sides have 2b and 3c. Therefore, it is possible for us to cancel them since each nullify the other side. So, we will subtract 2b and 3c from both sides. This yields:

$3a=12+2a$

Therefore, we can solve for a. Subtract 2a from both sides:

$a=12$

Hence, the weight of a is 12.

Using the newly acquired information, we can go back to our simplified equation:

$3a+2b+3c=12+2a+2b+3c$

Since a is 12:

$3(12)+2b+3c=12+2(12)+2b+3c$

Evaluate:

$36+2b+3c=12+24+2b+3c$

Simplify:

$36+2b+3c=36+2b+3c$

We can subtract 36 from both sides:

$2b+3c=2b+3c$

As you can see, this is a true statement.

Since this is a true statement, there are infinitely many possible values for b and c.

Therefore, the only weight we are certain of knowing is weight a weighing 12.

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3 years ago

the mean monthly income of trainees at a local mill is 1100 with a standard deviation of 150. find rthe probability that a train

Lunna [17]

Answer:

The probability is $P(X < 900 ) = 0.0918$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 1100$

The standard deviation is $\sigma = 150$

The random number value is x =900

The probability that a trainee earn less than 900 a month is mathematically represented as

$P(X < x) = P(\frac{X -\= x}{\sigma} < \frac{x -\= x}{\sigma} )$

Generally the z-value for the normal distribution is mathematically represented as

$z = \frac{x -\mu }{\sigma }$

So From above we have

$P(X < 900 ) = P(Z < \frac{900 -1100}{150} )$

$P(X < 900 ) = P( Z$

Now from the z-table

$P(X < 900 ) = 0.0918$

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3 years ago