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Lunna [17]
3 years ago
13

A tent is in the shape of a triangular prism. The front and back are isosceles triangles with base 6 feet and height 4 feet. The

surface area of the entire tent is 104 square feet. What is the depth of the tent?
Mathematics
2 answers:
Paul [167]3 years ago
8 0

Answer:5

Step-by-step explanation:

Pani-rosa [81]3 years ago
5 0
It would be 6+4, which equals 10. Then, subtract 104 ft minus 10 to get 94 ft in depth.
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Assuming that s = 18,000 is a reasonable estimate for what sample size would be needed to ensure that we could estimate the true
djverab [1.8K]

Answer:

The minimum sample size required is 71.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error for this interval is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

It is provided that the population standard deviation <em>σ</em> can be estimated by the sample standard deviation <em>s</em>.

The given information is:

<em>s</em> = 18000,

Margin of error = $4200.

Confidence level = 95%

The <em>z</em>-value for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table for the critical value.

Compute the sample size required as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

      n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

         =[\frac{18000\times 1.96}{4200}]^{2}

         =70.56\\\approx71

Thus, the minimum sample size required is 71.

3 0
3 years ago
10 points really easy question just asking if they are congurent please help Triangle PQR is transformed to triangle P'Q'R'. Tri
Verizon [17]

Answer:

They are not congruent; they are similar.

Step-by-step explanation:

If you analyze the coordinates, you can see that Triangle PQR has been dilated by 1/4 to become Triangle P'Q'R'. Because the triangle has been dilated but not transformed in any other way, you can say that the triangles are similar, but not congruent.

To be congruent, the triangles would have to have the same sizes and the same lengths (you may refer to the diagram below for a visual reference). To be similar, the triangles would have to have the same angles, but with different side lengths. With the dilation, the side lengths have changed, but the angles have not changed.

Hope this helps!

7 0
3 years ago
Please help
gavmur [86]

Answer:

Eighty three billion.

Step-by-step explanation:

Eighty three billion.

Eighty three billion.

4 0
3 years ago
12 dogs decreased by 25% find the new amoount
Vadim26 [7]

Answer:

8

Step-by-step explanation:

25% of 12 is 4

or

1/4 of 12 is 4

12-4=8

4 0
3 years ago
Read 2 more answers
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour
Svetach [21]

Answer:

30 mi/ 24 mi (6 mi slower)

Step-by-step explanation:

distance = rate x time

distance = 20 mph * X hr = 20 X miles

return trip:

    distance = 16 mph * X hr + 6 miles = 16X + 6

They are the same:

 20X = 16X + 6

 4X = 6

 X = 6/4 = 3/2

20 mph * 3/2 hr = 30 miles.

On the return trip: 16 mph * 3/2 hr = 24 miles, which is 6 miles short of 30 mi.

The distance is 30 miles.

The bird flies all 30 miles in 3/2 hr = 1 and 1/2 hour = 1 hour 30 minutes.

On the return trip, the bird flies 24 miles in 1.5 hours, which is 6 miles short.

3 0
3 years ago
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