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3 years ago

8

For the problem 135 divided by 5, draw two different ways to break apart the array.Use the Distributive Property to write produc

ts for each different way.

1 answer:

777dan777 [17]3 years ago

4 0

The correct answer is 27

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If y = x2 + 2x , find the value of y when x = 5

Arturiano [62]

Answer:

Step-by-step explanation:

Okay so you are gonna substitute x for 5 so the equations will look like y= (5)2+(5)2

So 10+10 = 20

So y=20

8 0

3 years ago

A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte

saul85 [17]

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

5 0

3 years ago

Tell whether the angles are adjacent or vertical. Then find the value of $x$ .

boyakko [2]

Answer:

they are adjacent angles

Step-by-step explanation:

for adjacent angles

${(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81$

7 0

2 years ago

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

$H=20\ dm$

substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

5 0

3 years ago

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be s

Lyrx [107]

Answer:

832

Step-by-step explanation:

standard deviation =228 minute

error =13 minute given

confidence level =905% =0.90

α=1-0.90=0.1

$z_\frac{\alpha }{2}=z_\frac{0.1}{2}=1.645$

we know that sample size should be greater than

$n\geq \left ( z_\frac{\alpha }{2}\times \frac{\sigma }{E} \right )^2$

$n\geq \left ( 1.645\times \frac{228}{13} \right )^{2}$

$n\geq 28.850^2$

$n\geq 832.3668$

n=832

4 0

3 years ago