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const2013 [10]
3 years ago
10

A sheet of standard size copy paper measures 8.5 inches by 11 inches. If a ream is 500 sheets of paper has a volume of 187 inche

s cube. How thick is the ream?
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

\large \boxed{\text{2.00 in}}  

Step-by-step explanation:

The formula for the volume of a rectangular solid is  

V = lwh

\begin{array}{rcl}V & = & lwh\\187 & = & 8.5 \times 11 \times h\\& = & 93.5h\\h & = &\dfrac{187}{93.5}\\\\& = & \textbf{2.00 in}\\\end{array}\\\text{The ream is $\large \boxed{\textbf{2.00 in}}$ thick.}

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xxTIMURxx [149]

Answer:

b=8.5cm

Step-by-step explanation:

tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6

To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.

0.6=5.1/adj

to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)

so then you have

adj=5.1/0.6

adj=8.5cm

(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!

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2 years ago
A parallelogram has sides of length 19 mm, 19 mm, and 7 mm. What is the length of the fourth side of the parallelogram? Enter yo
liberstina [14]

Answer:

7mm

Step-by-step explanation:

A parallelogram has 2 sets of equal sides, so if one side is 7mm, then the opposite side is too.

5 0
3 years ago
Evaluate expression -16 squared and write the result in form a + bi
coldgirl [10]

Writing it in the form of a+bi we get 0+4i

Step-by-step explanation:

We need to evaluate expression -16 squared and write the result in form a+bi

The given expression is: \sqrt{-16}

We know that \sqrt{-1}=i

We know that 16= 4x4 = 4^2

Putting values:

\sqrt{-16}=\sqrt{-1}\sqrt{16}\\=\sqrt{4^2}i\\=4i

So, Writing it in the form of a+bi a=0 and b=4 so, 0+4i

Keywords: Complex Numbers

Learn more about Complex Numbers at:

  • brainly.com/question/10736268
  • brainly.com/question/4678474

#learnwithBrainly

8 0
3 years ago
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ziro4ka [17]

Answer:

0, 4, -4 and they may want you to mention formally all the kt multiples of \pi.

Step-by-step explanation:

Let's do the second derivative of the function: y(t)=sin(k\,t)

y'(t) =k\,cos(k\,t)\\y"(t)=-k^2\,sin(kt)

So now we want:

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Then we have to include the zeros of the binomial (16-k^2) which as you say are +4 and -4, and also the zeros of sin(kt), which include all those values of

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So an extra one that they may want you to include is k = 0

5 0
3 years ago
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sergiy2304 [10]

Answer:

Yes

Step-by-step explanation:

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8 0
3 years ago
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