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Olenka [21]
3 years ago
11

Find the volume of this cone.

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

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a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of
ozzi
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.


8 0
3 years ago
By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji
Dafna11 [192]

Answer:

There are a total of  { 6 \choose 3} = 20 functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

{6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20  

3 0
3 years ago
Is my answer correct? please help, i need an answer before 11 pm!!
Pani-rosa [81]

Answer:

[-4, 3)

Step-by-step explanation:

We're talking about domain, which would be the least and greatest possible value x could be. In this graph, x is, at the least, -4. So we would use the bracket and write -4. The highest value x could be is 3, but if you look closely, the point is has an open circle, meaning we would use a parentheses for this side.

So, the answer is [-4, 3).

Hope this helps!!!

7 0
3 years ago
Absolute value of z=-1+sqrt(3i)?
nasty-shy [4]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression cannot be use
Ksivusya [100]

Answer:

Future value A = P(1+r)^(t)

A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

Corrected question;

The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression can be used to calculate the price of the new Ford this year

Step-by-step explanation:

Applying the future value formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

t = time in years

Given;

P = 27,000

r = 6.5% = 0.065

t = 1 year

Substituting the given values;

So A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

3 0
3 years ago
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