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Semmy [17]
2 years ago
13

Give the coordinates of point A.

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
5 0
The coordinates for point A is (-2,-5)
crimeas [40]2 years ago
4 0

Answer: -2,-5

Step-by-step explanation:

The red point is located in the 3rd quadrant in the graph. So that means both the y and the x are negative. So first you go by the x value, the point is located on the 2 space left (-) from the origin (center) of the graph and then you have to go 5 spaced down (-). So point A is located at (-2,-5).

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The net of a rectangular prism is shown below. The surface area of each face is labeled.
Otrada [13]

Answer:

option A is correct.

Explanation:

Total Area of the prism: 8 + 48 + 8 + 24 + 24 + 48 = 160 ft²

<u>Area of rectangular prism</u>: 2(LW+HW+HL)

<u>Option A</u>

2(2*4+4*12+12*2)

2(8+48+24)

2(80)

160 ft²

5 0
2 years ago
Read 2 more answers
Identify all the computer software that you need for the following entrepreneurial activities. Refer your answer from the items
Westkost [7]

Answer:

Step-by-step explanation:

Identify all the computer software that you need for the following entrepreneurial activities. Refer your answer from the items in the box below. Write your answer in your TLE CSS Activity notebook

Identify all the computer software that you need for the following entrepreneurial activities. Refer your answer from the items in the box below. Write your answer in your TLE CSS Activity notebook

4 0
2 years ago
Consider the following problem: A farmer with 890 ft of fencing wants to enclose a rectangular area and then divide it into four
Verdich [7]

Answer:

Total area: 19802.5 ft2

Step-by-step explanation:

The total fencing being used will be the perimeter of the rectangular area plus 3 sides that will divide the total area in 4 pens. These sides will be parallel to the width of the total area, as the width will be the smaller side of the rectangle.

Calling the length L and the width W, we have that:

2L + 2W + 3W = 890

2L + 5W = 890

The total area will be:

A = L*W

From the first equation, we have:

L = 445 - 2.5W

Using this in the area equation, we have:

A = (445 - 2.5W)*W = 445W - 2.5W^2

To find the width that gives the maximum area, we find the vertix of the quadratic equation:

W_vertix = -b/2a

Where a and b are coefficients of the quadratic equation (in our case, a = -2.5 and b = 445). So:

W_vertix = -445/(-5) = 89

The maximum area will be:

A = (445 - 2.5W)*W = (445 - 222.5)*89 = 19802.5 ft2

4 0
3 years ago
Read 2 more answers
Find the
Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

3 0
3 years ago
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
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