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3 years ago

A cone has radius 9 and height 12. A frustum of this cone has height 4.

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12

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66.21 was rounded to 2dp. what is the lower bound?

sladkih [1.3K]

Answer:

the answer is 66.205

Step-by-step explanation:

basically you look at the place value so

66.21 is basically the same as 66.210 then you look at the lowest number that can round UP to 66.210 which would be out of 1 to 9 would be 5 so the smallest number that can round up to 66.210 is 66.205 hope this helped :D

4 0

3 years ago

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling

ratelena [41]

Answer: 7/8

Step-by-step explanation:

Probability is calculated by number of possible outcomes/ total outcomes

From the question, a coin only has two sides, Head or Tail. Total outcomes is therefore equal to 2

Possible outcome is to toss a head, which is one event

Probability of tossing a head is therefore =1/2

The second part of the question is rolling a die with eight sides.

Here, the die is said to have eight sides, 1,2,3,4,5,6,7,8. Total outcomes is therefore equal to 8

Possible outcome of rolling a number greater than 5 is 3 possibilities, that is rolling 6, 7 and 8.

Pr(rolling > 5) is 3/8

Therefore, Pr ( head; rolling > than 5)

= 1/2 + 3/8

=7/8

I hope this is clear, please mark as brainliest answer

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3 years ago

3x-11=-1x-75<br> find the x value that would make this equation true

ki77a [65]

Answer:

x = -16

Step-by-step explanation:

3x-11 = x-75

bring x to other side and simplify

(4x = -64) ÷4

x = -16

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3 years ago

2/3 x (-6/7 + 4/5) = (2/3 x 4/5) x (-6/7) : verify

kifflom [539]

⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✿⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎

Hi my lil bunny!

❀ _____.______❀_______._____ ❀

Let's solve your equation step-by-step.

$(\frac{2}{3}x) ( \frac{-6}{7} + \frac{4}{5}) = [\frac{\frac{2^x4}{3} }{5} ] ( \frac{-6}{7} )$

$\frac{-4}{105} x = \frac{-4x^5}{35}$

Step 1: Subtract $(-4)/35x^5$ from both sides.

$\frac{-4}{105} x - \frac{-4}{35x^5} = \frac{-4x^5}{35} - \frac{-4x^5}{35}\\\\\frac{4}{35}x^5 + \frac{-4}{105} = 0$

Step 2: Factor left side of equation.

$x(0.114286 x^4 - 0.038095 ) = 0$

Step 3: Set factors equal to 0.

$x = 0 or 0.114286 x^4 - 0.038095 = 0\\\\x = 0 or x = -0.759836 or x = 0.759836$

So the answer is : x = 0 or x = - 0.759836 or x = 0.759836

❀ _____.______❀_______._____ ❀

Xoxo, , May

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Hope this helped you.

Could you maybe give brainliest..?

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3 years ago

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Assoli18 [71]

Answer:

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Step-by-step explanation:

½×5×12 + ½×4×12

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6 0

3 years ago

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