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Butoxors [25]
3 years ago
15

Raymond calculated the surface area of a cone that has a diameter measure of 8 meters and a slant height of 20.5 meters. Analyze

Raymond’s work. Is he correct? If not, what was his mistake? Yes, he is correct. No; in step 1 he used the diameter measure instead of the radius. No; in step 2 he incorrectly evaluated the power to 64 instead of 16. No; in step 3 he added the surface area and lateral area incorrectly.
Mathematics
2 answers:
Andreas93 [3]3 years ago
4 0

Answer:

The correct answer on EDG-2020 is:

No; in step 1 he used the diameter measure instead of the radius.

Step-by-step explanation:

V125BC [204]3 years ago
3 0

Answer:

No; in step 2 he incorrectly evaluated the power to 64 instead of 16

Step-by-step explanation:

The question is not complete, the steps taken by Raymond are not listed, but I would show you the correct way of calculating the surface area and you determine from where Raymond made a mistake.

Answer:

A cone is a shape in which a set of lines connect the top point which is a common point to its circular base. The surface area of a cone is given by:

A=\pi r(r+\sqrt{h^2+r^2} )=\pi r(r+l)=\pi r^2+\pi rl

Where A is the surface area, r is the radius of the cone, h is the height of the cone and \sqrt{h^2+r^2} is the length of the slant height of the cone.

Given that a cone has a diameter measure of 8 meters and a slant height of 20.5 meters. Therefore:

radius (r) = diameter/2 = 8 / 2 = 4 m

Slant height (l) = 20.5 m

The surface area is:

A=\pi r^2+\pi rl\\Substituting \ values:\\A=\pi *4^2+\pi *4*20.5\\=\pi *16+\pi *82\\=98\pi \ m^2\\=307.9\ m^2

The power in step 2 is 16 not 64

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A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the
SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }

t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093

[15.3 ± 2.093 * \frac{6.8}{\sqrt{20} }]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0
3 years ago
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

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-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

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3 years ago
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Answer:

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Step-by-step explanation:

3x+2x=5x    5*5=25

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