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3 years ago

How can you use a factor tree to help you write the prime factorization of a number

Mathematics

1 answer:

Licemer1 [7]3 years ago

7 0

It will help to find the number to get your answer becuase u have 2 sides 01234612

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A. Write an expression for the area of the shaded region.

tekilochka [14]

Answer:

A. $25x² - 64$

B. $(5x + 8)(5x - 8)$

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = $25x^2 - 64$

B. The expression, $25x^2 - 64$ , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, $a^2 - b^2 = (a + b)(a - b)$

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

$25x^2 - 64 = (5x + 8)(5x - 8)$

4 0

3 years ago

So i have an assignment that needs to be answered quickly please! :) So i need to know how to turn an improper fraction into a m

dezoksy [38]

Say if you have 55/10 thats an improper fraction so in order to turn that into a mixed number divide 55 by 10 which you will get 5. Something right so the 5 will be your whole number 5 then your leftover is 5 so you will put that 5 over 10 so the mixed number will be 5 5/10 but you can simplify that to 5 1/2

6 0

2 years ago

How do you find the mean median mode and outlier

goblinko [34]

Answer:

The mean is the average of all numbers. To find the mean you add all numbers and divide by how many numbers you have (i.e. 1+2+3 =6. 6/3 =2. Mean is 2.) Median is the middle of the numbers. To find the median arrange the numbers from least to greatest, and the number in the middle is the median. For example, 1, 2, 3, 4, 5. In this 3 is the median because it is in the middle. The outlier is the number that is different from others. For example, 1, 2, 3, 4, 17. In this case 17 is the outlier because it is different and farther than the other numbers.

Step-by-step explanation:

6 0

3 years ago

Analyze Manda's work. Is she correct? If not, what was her mistake?

yulyashka [42]

Answer:

Option 3. In step 3, she did not subtract one x from the left side

Step-by-step explanation:

we have the repeating decimal

0.272727...

Convert to fraction number

step 1

Let

x=0.272727...

step 2

Multiply by 100

100x=27.272727...

step 3

Subtract x from 100x

100x-x=27

99x=27

step 4

Find the value of x

x=27/99

therefore

Manda's work is not correct

In step 3, she did not subtract one x from the left side

7 0

3 years ago

A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.

enyata [817]

Hello!

We are going to use the rectangular prism of the image as a guide:

First of all, the AC segment is calculated using the Pythagoras' theorem:

$AC= \sqrt{ AB^{2}+ BC^{2} } =\sqrt{ 10^{2}+ 8^{2} }=12,81 m$

(A) The surface area of a prism is the sum of the surface areas of each face.

For the 2 triangles ABC and DEF

$A=2*(1/2*b*h)=2*(1/2*8m*10m)=80m$

For the ABEF Rectangle

$A=w*l=10,77m*10m=107,7m^{2}$

For the ACDE Rectangle

$A=w*l=10,77m*12,81m=137,96 m^{2}$

For the BCDF Rectangle

$A=w*l=10,77m*8m=86,16 m^{2}$

To finish you need to sum up the areas of each face:

$SA=2A_{ABC}+ A_{ABEF}+A_{ACDE}+A_{BCDF}= \\ 80 m^{2} +107,7m^{2} +137,96m^{2} +86,16m^{2} =411,82m^{2}$

(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows

$V= \frac{1}{2} *w*h*l= \frac{1}{2}* 8m*10m*10,77m=430,8m^{3}$

7 0

3 years ago