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timofeeve [1]
3 years ago
11

(20 points)

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0
V = (1/4)(π* d² * h) 
<span>V = (1/4)(π * 10² * 12) </span>
<span>V = (1/4)(1200π) </span>
<span>V = 300π </span>
<span>[ V ≈ 942 cubic units . . . . . to 3 s.f. ] </span>
<span>V ≈ 942 cubic units 
</span>
Papessa [141]3 years ago
5 0

Answer:

Step-by-step explanation:

It is given that a cylinder has a base diameter of 10, then the radius of the cylinder will be 5.

Also, it is given that the height of the cylinder is 12, then

Volume of cylinder is given as:

V={\pi}r^2h

V=3.14{\times}(5)^2{\times}12

V=3.14{\times}25{\times}12

V=78.5{\times}12

V=942.0 cubic units

Therefore, the volume of the cylinder is 942 cubic units.

You might be interested in
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Explain why is 1/5 bigger than 0.15
Nitella [24]
1/5 is greater because it equals 0.2

0.2 has an imaginary 0 at the end, to make it 0.20

.20 > 0.15

Therefore, 1/5 is greater than 0.15
8 0
3 years ago
Order these ratios from least to greatest- 7:2, 12 to 4, 20/6, 21:14, 10:5<br> pls :,)
Brrunno [24]

Answer:

21:14, 10:5, 12 to 4, 20/6, and 7:2

Step-by-step explanation:

first simplify all the ratios.

the first one is already simplified

12 to 4 = 3 to 1

20/6 = 10/3

21:14 = 3:2

10:5 = 2:1

Next find the least common factor the the three digits, 1, 2, and 3 and which is 6.

Multiply the simplified factors into the least common factor. So 7:2 will be multiplied by 6 so it will be 21:6

Do it with the rest of the factors and get

21:6, 18 to 6, 20/6, 9:6, and 12:6

Finally order them from least to greatest,

9:6, 12:6, 18 to 6, 20/6, and 21:6

or

21:14, 10:5, 12 to 4, 20/6, and 7:2

4 0
3 years ago
What is the slops that passes through (5,6) and (7,10)
Triss [41]
2 is the correct answer I believe
7 0
3 years ago
Read 2 more answers
Pls pls pls pls pls help
raketka [301]

Answer:38x-34

Step-by-step explanation:

f(x)=x^2+3x-7

g(x)=5x-3

We multiply the entire F equation times two, (x^2+3x-7)*4=

(4x^2+12x-28)

Now the entire g equation by 2, (5x-3)*2

(10x-6)

Now we add both equation

(4x^2+12x-28)+(10x-6)

(4x^2+22x-34)

(4x*4x+22x-34)

(16x+22x-34)

38x-34

Hopefully this is correct :)))

7 0
3 years ago
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