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2 years ago

10

A new library has 2,300 books to put on the shelves. Each shelf holds 57 books. How many shelves will be completely full of book

s?

2 answers:

Tcecarenko [31]2 years ago

5 0

Answer:40

Step-by-step explanation:

2300/57=40.35

40 shelves will be completely full of books.

sineoko [7]2 years ago

4 0

The answer to your question is 40 shelves will be completely full of books.

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Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared

alisha [4.7K]

Answer:

The least squares method results in values of the y-intercept and the slope, that minimizes the sum of the squared deviations between the observed (actual) value and the fitted value.

Step-by-step explanation:

The method of least squares works under these assumptions

The best fit for a data collection is a function (sometimes called curve).
This function, is such that allows the minimal sum of difference between each observation and the expected value.
The expected values are calculated using the fitting function.
The difference between the observation, and the expecte value is know as least square error.

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3 years ago

Madelynn has a budget of $1,484 to spend this month. if she wants to split her money evenly over 4 weeks,how much can she spend

marshall27 [118]

She can spend 371 each week (1484 divided by 4)

5 0

2 years ago

Read 2 more answers

Figure ABCD is a rhombus where the m∠ABC = 84 and m∠ABE = 3x − 6. Solve for x. Rhombus ABCD with diagonals AC and BD and point E

bazaltina [42]

Answer:

<u> x = 16</u>

Step-by-step explanation:

See the attched figure

We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.

Given:

m∠ABC = 84 and m∠ABE = 3x − 6

So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42

∴ 3x - 6 = 42

Solve for x

3x = 42 + 6 = 48

x = 48/3 = 16

<u>∴ x = 16</u>

4 0

3 years ago

Read 2 more answers

What is the area of △FGH to the nearest tenth of a square meter? The image is of a triangle GHF with base GH length 2m, FG is 2.

Gnesinka [82]

First, we are going to use the law of cosines to find the length of the line segment FH:
$FH= \sqrt{2.5^{2}+2^{2}-(2)(2.5)Cos(121)}$
$FH= \sqrt{2.5^{2}+2^{2}-5Cos(121)}$
$FH=3.2$

Next, we are going to use the semi-perimeter formula: $s= \frac{GH+FG+FH}{2}$
$s= \frac{2+2.5+3.2}{2}$
$s= \frac{7.7}{2}$
$s=3.9$

Now that we have the semi-perimeter of our triangle, we can find its area using Heron's formula:
$A= \sqrt{s(s-GH)(s-FG)(s-FH)}$
$A= \sqrt{3.9(3.9-2)(3.9-2.5)(3.9-3.2)}$
$A= \sqrt{3.9(1.9)(1.4)(0.7)}$
$A=2.7m^{2}$

We can conclude that the area of the triangle <span>GHF is 2.7 </span> $m^{2}$ .

3 0

3 years ago

Please help and show your work

Elis [28]

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are equal.

VT = SR

8x- 17 = 15 {Add 17 to both sides}

8x = 15 + 17

8x = 32 {divide both sides by 8}

x = 32/8

x = 4

Corresponding parts of congruent triangles are equal.

∠V = ∠S = 60°

∠W = ∠U = 90°

∠T = ∠R = 2y + 20

In Δ VUT,

∠V + ∠U + ∠T = 180 {Angle sum property of triangle}

60 + 90 + 2y + 20 = 180

2y + 170 = 180

2y = 180- 170

2y = 10

y = 10/2

y = 5

5 0

2 years ago