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oksian1 [2.3K]
3 years ago
8

Nicole has 122 books to put on shelves. she decides to put 15 books on a shelf as often as she can. how many shelves does she ne

ed to hold all of the books? what is the treatment of the remainder in this situation?
Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
Is 8 on of the answer choices?
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Help me please. I dont understand this question.
ziro4ka [17]

Answer:

y = 100°

Step-by-step explanation:

I can't see the full question, but I'm guessing you need to find the measure of angle y.

The total angle sum of a polygon can be calculated with the formula

T = 180°(n - 2)   where T is the total angle measure, and n i the number of sides.

For our shape, there are 4 sides, so n = 4.  Plug that in and simplify...

T = 180°(4 - 2)

  T = 180°(2)

      T = 360°

We are given 3 of the angles, so angle y is

y = 360 - 107 - 104 - 49

    y = 100°

5 0
3 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

We conclude that the line integral is 1/2

4 0
2 years ago
A washer and a dryer cost $995 combined. The washer cost $45 more than the dryer. What is the cost of the dryer?​
Talja [164]

When a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

The combined cost of a washer and a dryer = $995

Consider the cost of a dryer as x

The washer cost $45 more than the dryer.

The cost of the washer = x+45

Then the equation will be

x+x+45 = 995

2x+45 = 995

2x = 950

x = 950/2

x = 475

The cost of the dryer is $475

Hence, when a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

Learn more about equation here

brainly.com/question/1625308

#SPJ1

8 0
10 months ago
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio
kolbaska11 [484]
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
4 0
3 years ago
Read 2 more answers
I FORGOT THE LAST ONE
zalisa [80]
I think it’s 3.2 but I don’t know
5 0
3 years ago
Read 2 more answers
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