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3 years ago

The glass fish tank does not have a cover. Find the total area of the glass panels used to make the tank.

Mathematics

2 answers:

pogonyaev3 years ago

6 0

You will find the area of the 5 surfaces made of glass. There is a front, back, 2 sides, and the bottom. Each face is in the shape of a rectangle, so you will multiply the length by the width.
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504

Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.

atroni [7]3 years ago

4 0

2,934 $cm^{2}$

You are to solve for length x width for the 5 panels that were used for the tank.

24 x 27 = 648
24 x 27 = 648
21 x 27 = 567
21 x 27 = 567
21 x 24 = 504

When you add all areas together, the final answer is 2.934 $cm^{2}$

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2 years ago

Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years.enter an inequality that can be used

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3 years ago

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

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3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$