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3 years ago

Which number is missing from the prime factorization of 528? 2 x 2 x 2 x 2 x ____ x 11 A. 2 B. 3 C. 5 D. 7

Mathematics

2 answers:

ANEK [815]3 years ago

5 0

Answer:

B. 3.

Step-by-step explanation:

2 * 2* 2* 2 * 11

= 16 * 11

= 176

528/176

= 3,

Bumek [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Which number is missing from the prime factorization of 528? 2 x 2 x 2 x 2 x ____ x 11 A. 2 B. 3 C. 5 D. 7

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Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5

laila [671]

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

Perimeter: <u>29 cm</u>

Area: <u>49.5 cm²</u>

<h3>How can the area and perimeter of the trapezium be found?</h3>

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid =<u> 29 cm</u>

Perimeter: 29 cm

The area of the trapezoid is given as follows;

$Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}$

Which gives;

$Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5$

The area of the trapezoid = 49.5 cm²

Area:<u> 49.5 cm²</u>

Learn more about the area and perimeter of geometric shapes here:

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8 0

2 years ago

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otez555 [7]

Answer: its 1/4 per minute i took the test

Step-by-step explanation:

7 0

2 years ago

How do I find the equivalent

satela [25.4K]

The equivalent to that is 8.

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3 years ago

g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i

Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0

2 years ago

This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone

kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>

It is NOT a multiple of 2.

When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>

It is a multiple of 2.

When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.

An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

$x= 17\\x + 2 = ?\\(17) + 2 = 19$

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

$x=2\\x + 6 = ?\\(2) + 6= 8$

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0

2 years ago