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KengaRu [80]
3 years ago
10

A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simp

lify your answer.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

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Choose all the units that are part of the metric system ?
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Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass)

Step-by-step explanation:

The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

In addition to the difference in the basic units, the metric system is based on 10s, and different measures for length include kilometer, meter, decimeter, centimeter, and millimeter. Notice that the word “meter” is part of all of these units.

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3 years ago
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Show that any finite set is closed.
Alecsey [184]
<span>If you know that a single point is closed (as a set), then any finite set is closed because they are finite unions of closed (single point) sets.</span>
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3 years ago
You built a skateboard ramp in the shape of a triangular prism. If you want to paint the entire ramp, even the bottom, what is t
olchik [2.2K]

Answer:

180 ft²

Step-by-step explanation:

In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides.  Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces.  The sides of the ramp are triangles with a base of 12 ft and height of 5ft.  The area of a triangle is: A = 1/2bh.  Since there are two triangles with the same dimensions:

12 x 5 = 60 ft²

Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:

13 x 4 = 52 ft²

The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:

12 x 4 = 48 ft²

Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:

5 x 4 = 20 ft²

Add them all together:

20 + 48 + 52 + 60 = 180 ft²

7 0
4 years ago
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% conden
S_A_V [24]

Answer:

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.

This means that n = 42, \pi = \frac{26}{42} = 0.619

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

4 0
3 years ago
You buy 5 pounds of pears for $40. What is the cost of 8 pounds of pears?
lilavasa [31]
8 pounds of pears would cost 64.00 because 40/5=8.00-price per pear so 8 pounds x8= 64.00
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3 years ago
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