Two angle measures of a triangle are 62° and 28°. What is the measure of the third angle?

A party planner is making gift bags for an event. He has 96 pencils,

Yuliya22 [10]

Considering the greatest common divisor, you obtain:

the greatest number of gift bags that the party planner can make is 12.
the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

<h3>Greatest common divisor </h3>

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.

A method to calculate the greatest common factor must follow the following steps:

Decompose or separate each number into prime factors.
Common factors are noted.
In each of the commons, the factor with the smallest exponent is chosen.
Multiply the chosen factors.

To find the greatest number of gift bags the party planner can make, you find the greatest common divisor.

To do this, decompose the numbers 96, 36 and 24:

96= 2⁵×3
36= 2²×3²
24= 2³×3

The common factors with the smallest exponent are: 2² and 3

So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12

This means that the greatest number of gift bags that the party planner can make is 12.

To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:

96 pencils÷ 12= 8 pencils
36 erasers÷ 12= 3 erasers
24 pencil toppers÷ 12= 2 pencil toppers

Finally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

Learn more about greatest common divisor:

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5 0

1 year ago

(◞ ‸ ◟) PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP ≧﹏≦

Marrrta [24]

<h2>It is an obtuse angle.</h2>

Step-by-step explanation:

Obtuse: An obtuse angle is an angle more than $90^\circ$ but less than $180^\circ$ .

Example : $110^\circ$ , $135^\circ$ etc.

Acute : An acute angle is an angle less than $90^\circ$

Example : $30^\circ$ , $45^\circ$ etc.

Straight : A straight angle is $180^\circ$ .

Right: A right angle is $90^\circ$ .

Since the angle is more than $90^\circ$ but less than $180^\circ$ . So, it is an obtuse angle.

4 0

4 years ago

A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent

frutty [35]

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

$P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%$