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Marrrta [24]
3 years ago
10

A sheet of standard-size copy paper measures 8.5 in. by 11 in. If a ream (500 sheets) of this paper has a volume of 187(to the t

hird power) in. , how thick is the ream.
I need an explanation on how to do it please.
Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0
<h3>Answer:  2 inches</h3>

============================================================

Explanation:

The area of any given sheet of paper is 8.5*11 = 93.5 square inches.

Divide the volume over this area to get the height of the stack

187/(93.5) = 2

The stack is 2 inches tall.

Extra info: The thickness of each piece of paper is 2/500 = 0.004 of an inch which approximates to about 0.1016 mm.

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Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 15.2 meters and the length of F E is 9 me
ololo11 [35]

Answer:

<h3>sin(x) = StartFraction 9 Over 15.2 EndFraction</h3>

Step-by-step explanation:

From the triangle given;

The length of hypotenuse FG =  15.2 meter

Since FE is the side facing the angle FGE, then;

the length of FE is opposite = 9 meters

m<FGE = x

According to SOH CAH TOA

sin theta = opp/hyp

sin m<FGE =  FE/FG

Substitute the given values

sin x = 9/15.2

Hence the correct answer is sin(x) = StartFraction 9 Over 15.2 EndFraction

3 0
3 years ago
Read 2 more answers
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Margaret [11]

Answer:

Step-by-step explanation:

2500 - 12%

12% of 2500 = 300

2500 - 300 = 2200

12% of 2200 = 264

2200-264=1936

Repeat another 4 times

8 0
3 years ago
Please help me with number ten and twelve
jasenka [17]

Answer: 93,\ 34^{\circ}

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15

\Rightarrow PQ=8x-27\\\Rightarrow PQ=93

For figure (ii)

Two triangles WXZ and WZY are congruent

\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}

5 0
2 years ago
Solve the equation for 5x^2-4x=6
Andrei [34K]

Answer:

x = (4 + 2√34)/10, x = (4 - 2√34)/10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10

Multiply: x = (4 ± √(16 + 120))/10

Simplify: x = (4 ± 2√34)/10

8 0
3 years ago
Can someone please help me answer this.
Anika [276]
4(y - 7) = 2y - 38
4y - 28  = 2y - 38
4y - 2y = -38 + 28
2y = -10
y = -5
3 0
4 years ago
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