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3 years ago

Do O PI11110100 2. Use the prime factorizations of 72 and 120 to find their LCM.

1 answer:

8 0

$\bf \begin{cases} 72=&\underline{2\cdot 2\cdot 2\cdot 3}\cdot 3\\ 120=&\underline{2\cdot 2\cdot 2\cdot 3}\cdot 5 \end{cases}\qquad \qquad \stackrel{LCM}{2\cdot 2\cdot 2\cdot 3}\implies 24$

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chegg tell whether each sequence is arithmetic. if the sequence os arithmetic, identify the common difference and find the indic

spin [16.1K]

No, the given sequence is not an arithmetic sequence.

What is Arithmetic Sequence ?

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

In the above question,

The sequence is 3,5/2,3/2,-3/2,...

Take the 2nd term and minus the 1st term.

Now take the 3rd term and minus the 2nd term.

We can clearly notice that the differences are not same. Hence there is no common difference and therefore it's not an arithmetic sequence

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1 year ago

What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? Star

Komok [63]

The quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

$q=\dfrac{a}{b}$

Here, (<em>a, b</em>) are the real numbers.

The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,

$\dfrac{7^{-1}}{7^{-2}}$

Let the quotient of this division is n. Therefore,

$n=\dfrac{7^{-1}}{7^{-2}}$

A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,

$n=\dfrac{7^{2}}{7^{1}}\\n=7$

Hence, the quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

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2 years ago

Find the measure of the numbered angle.

Mila [183]

The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.

4 0

3 years ago

A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approxim

Orlov [11]

Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

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2 years ago

The sum of the measure of the interior angles of a polygon is 1980°. What polygon is it? 10-gon 11-gon 12-gon 13-gon

tiny-mole [99]

Answer:

13-gon

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is:

S = 180° (n − 2)

If S = 1980°, then:

1980° = 180° (n − 2)

11 = n − 2

n = 13

3 0

3 years ago