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3 years ago

A piece of paper is 0.00075 inches thick. How many sheets of paper will be in a stack that is 2.25 inches high

Mathematics

1 answer:

mario62 [17]3 years ago

7 0

2.25/0/00075 = 3000
There will be 3000 sheets of paper
the total height of the stack is 2.25

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In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ .<br><br> What is AE ?

emmainna [20.7K]

So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18

6 0

2 years ago

What is the expression in factored form x2 + 14x + 48

never [62]

Factor using the AC method...

The answer is:

(x+6) (x+8)

8 0

3 years ago

Read 2 more answers

What is the total area of the shape

solong [7]

Answer:

Area : 704 square units

Step-by-step explanation:

First you do 16 x 10 = 160

then you do 32 x 17 = 544

then you add 160 + 544 = 704 (D)

7 0

3 years ago

The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

$y=-(x\boxed{+3})^2+5$

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

$y=-(x+3)^2\boxed{+5}$

Hope this helps!

3 0

2 years ago

What is the value of B?

iragen [17]

$2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)$

$\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT$

<h3>Answer: B = 2</h3>

8 0

3 years ago