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2 years ago

The diameter of the base of the cone measures 8 units.

Mathematics

2 answers:

madam [21]2 years ago

7 0

Answer:

b. 32

Step-by-step explanation:

e2020 says so

weeeeeb [17]2 years ago

3 0

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=\frac{8units}{2}\\\\r=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi (4units)^2(6units)$

$V_{cone}=32\pi \ units^3$

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Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now

lakkis [162]

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

= 25 - 19 + 5

= 6 + 5

= 11

21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

3 0

2 years ago

A code consists of two digit numbers chosen from 00-99 (i.E 00, 01, 02…..99) followed by two different letters of the alphabet.

Ede4ka [16]

Answer: 1/67600

Step-by-step explanation:

probability that the code is 43MZ:

Probability = (Total Required outcome / total possible outcomes)

Possible outcomes (digit) = (00,.............. ..., 99)

2.) possible outcomes (alphabet) = (A, B,............... .., Z)

P(43MZ) = P(43) × P(M) × P(Z)

P(43) = 1/100

P(M) = 1/26

P(Z) = 1/26

THEREFORE ;

P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600

4 0

3 years ago

Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 34 and, in a separa

Marina CMI [18]

<h3>The probability of winning the lottery is $\frac{1}{10,295,472}$ </h3>

Step-by-step explanation:

Here, the total numbers in the jackpot = 1 to 34

Now, the number that needed to be drawn = 5

The number of ways , 5 number can be drawn from total 34 numbers :

$^{34} C _5 = \frac{34!}{5!(34-5)!} = 278,256$

Also, in separate draw, the correct number drawn = 1

So, the number of ways that can be done = 30 C 5 x 37

= 278,256 x 37 = 10,295,472

Now, P(win) = $\frac{\textrm{Total favorable attempts}}{\textrm{Total attempts}} = \frac{1}{10,295,472}$

Hence, the probability of winning the lottery is $\frac{1}{10,295,472}$

6 0

3 years ago

Which equation can be used to determine the distance between the origin and (-2,-4)?

Olegator [25]

So the right answer is of option B..

3 0

2 years ago

Read 2 more answers

How to round 10.7703 to the nearest tenth.

xeze [42]

10.7703 to the nearest tenth is 10.8

5 0

2 years ago

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