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frutty [35]
2 years ago
5

2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places

more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?
1) 200

2) 700

3) 1,200

4) 1,700
Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
1200 hajajajajsksslskskskskskskskjsjsjsjsjsjsjjsjsjsjsjjs
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Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
Jarvis left out a statement from the proof shown.which statement is best explained by the corresponding angles postulate
Salsk061 [2.6K]
The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.

  Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.

 The answer is: ∠1 and ∠3 are congruent (See the image attached).

7 0
3 years ago
Read 2 more answers
In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
lutik1710 [3]

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

7 0
3 years ago
Urve revolves around the x-axis. if you cannot evaluate the integral exactly, use your calculator to approximate it. (round your
Archy [21]

The value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Given the equation y=16-x^{2} and the limit of the integral be x=-1,x=1.

We are required to find the value of integration of y=16-x^{2} from x=-1 to x=1.

Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.

Integration is basically opposite of differentiation.

y=16-x^{2}

Find the integration of 16-x^{2}.

=16x-x^{3}/3

Now find the value of integration from x=-1 to x=1.

=16(1)-(1)^{3}/3-16(-1)-(-1)^{3}/3

=16(1)-1/3+16-1/3

=32-2/3

=(96-2)/3

=94/3

Hence the value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Learn more about integration at brainly.com/question/27419605

#SPJ4

4 0
1 year ago
Clara has read 3/4 of a book. Camille said she had read 1/2 as much as Clara. What fraction of the book has Camille read?
neonofarm [45]

It is multiplication? If it is, the answer is 6/8. Simplified it is 3/4.

6 0
3 years ago
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