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Yakvenalex [24]
3 years ago
6

two different cross sections are taken parallel to the base of a three-dimensional figure. the theo cross sections are the same

shape but are not congruent. what is the three-dimensional figure?
Mathematics
2 answers:
Ivan3 years ago
7 0

Answer:

Cone, Triangular Pyramid, and Square Pyramid

Step-by-step explanation:

Given is that two different cross sections are taken parallel to the base of a three-dimensional figure. The cross sections are the same shape but are not congruent.

In these three shapes, namely cone, triangular pyramid and square pyramid, the cross sections can look same but they are not congruent as the dimensions varies uniformly from one end to the other end.

Anarel [89]3 years ago
6 0
Same shape => similar.

The sections could be either great or smaller in area.

The possible figures could be:
1. A cone (all sections are circles)
2. A truncated cone (all sections are circles)
3. A hemisphere (all sections are circles)
4. A pyramid of any base (triangle, square, pentagon,....)
5. A truncated pyramid of any base (triangle, square, pentagon,....)
There are still other less conventional shapes, but I suppose the above options should suffice.
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A 90% confidence interval for u using the sample results X = 131.2, s=55 , and n= 50 Round your answer for the point estimate to
Ilya [14]

Answer:

131.2 ;

12.8 ;

(118.4, 144)

Step-by-step explanation:

Given :

X = 131.2, s=55 , and n= 50

Point estimate of the mean :

Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :

Margin of Error = Zcritical * s / sqrt(n)

Zcritical at 90% = 1.645

Margin of Error : 1.645 * (55 / sqrt(50))

Margin of Error : 1.645 * 7.7781745

Margin of Error = 12.795097

Margin of Error = 12.8

The confidence interval (C.I) :

C.I = x ± margin of error

C. I = 131.2 ± 12.8

(131.2 - 12.8) ; (131.2 + 12.8)

(118.4, 144)

8 0
3 years ago
The manager of a company uses the function shown to model the company’s daily profit based on the price of a product in dollars,
just olya [345]

Answer: 1) The minimum price, in dollars, to avoid a loss = 22,

2) the maximum price in dollars , to avoid a loss = 53,

3) The price that results the maximum profit = 37.5 dollars

Step-by-step explanation:

Since the given function that shows the total profit,

f(x) = (x-22)(53-x)

Where x is the price of the product.

Since for avoiding the loss,

f(x) \geq 0,

⇒ (x-22)(53-x)\geq 0

If (x-22)\geq 0 \implies x\geq 22

If 53 - x \geq 0 \implies 53 \geq x

Thus, 53 ≥ x ≥ 22,

Therefore, the minimum price to avoid the loss = $ 22

And, the minimum price to avoid the loss = $ 53

f'(x) =\frac{d}{dx}[(x-22)(53-x)] = (x-22)\frac{d}{dx} (53-x)+(53-x) \frac{d}{dx}(x-22)

⇒ f'(x) = - (x-22)+(53-x) = -x+22+53-x =-2x+75

Now, For maximum or minimum,

f'(x) = 0,

⇒ -2x+75 = 0

⇒ -2x = -75

⇒ x = 37.5

f''(x) = \frac{d}{dx}(-2x+75)=-1

For x = 37.5, f''(x) is negative,

Thus, For the price of $ 37.5 dollars the company has the greatest profit.



4 0
3 years ago
At the movie theatre, child admission is $5.30 and adult admission is $8.90. On Tuesday, 118 tickets were sold for a total sales
Aleksandr-060686 [28]

Answer: 51

Step-by-step explanation:

I did this by the guess and check route!

8 0
3 years ago
Max makes $3000 a month. He puts 15% in savings each month. After a year how much would he have in savings?
cricket20 [7]
The answer would be 5,400 ( 3000 times 0.15 would be 450 then, 450 times 12 is 5,400.)
8 0
3 years ago
Read 2 more answers
With import tax, a dealer spent 5250 for importing some cosmetics if the total of the cosmetics was 5000 what was the percentage
forsale [732]

Answer: 5%

Step-by-step explanation:

Given

With import, Dealer spent  Rs.\ 5250

If the cosmetic cost is Rs\ 5000

Import tax is  \Rightarrow 5250-5000=Rs\ 250

Percentage of import tax

\Rightarrow \dfrac{250}{5000}\times 100=5\%

3 0
3 years ago
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