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SashulF [63]
3 years ago
13

a cylindrical paint can has a diameter of 12 centimeters and a hieght of 16 centimeters. What is the colsest to the volume of th

e paiint can in cumbic meters
Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer: 1809.792\ m^3

Step-by-step explanation:

Given

The diameter of the cylinder is d=12\ cm

height of the cylinder is h=16\ cm

The volume of a cylinder is given by

V=\pi r^2h

Insert the values

\Rightarrow V=\pi \times 6^2\times 16\\\Rightarrow V=3.142\times 576\\\Rightarrow V=1809.792\ m^3

The volume of the cylinder is 1809.792\ m^3

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What is the midpoint of the segment
Solnce55 [7]

(-3,4)(-6,-1)

The easy way

look at the y's = 4 and -1 the difference is 5 now /2 = 2.5

so the y midpoint is 2.5 from each point or 1.5

look at the x's = -3 and -6 the differebce is 3 now /2 = 1.5

so its 1.5 from each point or -4.5

so midpoint is (-4.5, 1.5) or (-9/2, 3/2)  or C


the formula way:

for x

x1+x2/2

-3+-6/2

-9/2 (which is -4.5)

for y

y1+y2/2

4+-1/2

3/2 (which is 1.5)



4 0
3 years ago
Please help: <br><br> 12x^4(-5/6x^3y^2)<br><br> If possible, include steps<br><br> Thanks.
tangare [24]
---------------------------------------------------------------------------------------
Question
---------------------------------------------------------------------------------------
12x^4(- \frac{5}{6} x^3y^2)

---------------------------------------------------------------------------------------
Multiply the constant: 12 x (-5/6)
---------------------------------------------------------------------------------------
-10x^4( x^3y^2)

---------------------------------------------------------------------------------------
Multiply the x (we add the power together when we multiply)
---------------------------------------------------------------------------------------
-10x^7y^2

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Answer: -10x⁷y²
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4 0
3 years ago
3 /8 + 2/ 3 = 9/ 24 + 16/ 24 = 25/ 24 =
Alchen [17]
Convert the denominator of the first two fractions to 24 since 3 and 8 can fit into 24.

3/8=9/24

2/3=16/24

Now add them together.

9/24+16/24=25/24

Next add the second two fractions 9/24 and 16/24.

9/24+16/24=25/24


Since all fractions equal 25/24, the equation was true!

Hope this helps!

7 0
3 years ago
Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​
Degger [83]

Answer:

Union = 15

Step-by-step explanation:

Given

n(A) = 5; n(B) = 10; n(C) = 15

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

Union = 15

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

Intersection = 5

6 0
3 years ago
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for tha
Alborosie

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

7 0
3 years ago
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