The radius of a cylindrical water tank is 6 ft, and its height is 16 ft. What is the volume of the tank?

Answers

Answer 1

Answer:

about 1809.56 ft^3

Step-by-step explanation:

πr2h

=  π×6^2×16

=  576π

=  1809.5573684677 feet3


Related Questions

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

What is a perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

Given

if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

To know more about perfect square refer to :

https://brainly.com/question/17744523

#SPJ2

If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.

[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)

Answers

Answer:

3.5%

Step-by-step explanation:

Given data

A=$6225

P=$5000

T= 7years

R=???

Simple interest

A=P(1+rt)

substitute

6225=5000(1+7r)

6225=5000+35000r

collect like terms

6225-5000=35000r

1225=35000r

r= 1225/35000

r=0.035

Hence the rate is 0.035*100= 3.5%

if a circle has an area of 100 cm squared, what would be the area of a section of 45 degrees?

Answers

Answer:

45 degrees/360 degrees=1/8

So the area would be 1/8 *100=100/8=25/2

Step-by-step explanation:

Find the mean of the first 7 odd prime number?​

Answers

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

----------------------------------------------------------------------------------------

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

please, I need your help!! I will mark correct answer as brainliest.

Answers

Answer:

3, -3, 0

Step-by-step explanation:

The exlcusions of x are where the denominator =0

So we can write the following equations

x²-9=0

and

5x=0

Let's solve the first one

x²-9=0

x²=9

x= ±3

and

5x=0

x=0

Therefore x cannot equal 3, -3, 0

Answer: 3, -3, 0

So, yea. The answer ontop is also correct

F(x) = 24/x^2. When x=8

Answers

Answer:

3/8

Step-by-step explanation:

F(8)=24/8^2=24/(8*8)=24/64=3/8

The angles shown are supplementary. (3x + 15)° 60° What is the value of x?​

Answers

Answer:

x = 35

Step-by-step explanation:

Supplementary angles add up to 180°.

if (3x + 15)° and 60° are supplementary, then

3x + 15 + 60 = 180

now, you just have to solve the equation.

3x + 75 = 180

3x = 105

x = 35

Check

3*35 + 15 + 60 = 180

105 + 15 + 60 = 180

180 = 180

what is $78 discounted 12%

Answers

Answer:

$78 discount off 12% you would get $68.64. That is $9.36 off

Sports team is building a new stadium on a rectangular lot of land. It's a lot measures 10 X by five eggs and the sports field will be 6X by 2X, how much of the lot will be left over to build bleachers on

Answers

Answer:

4 X 2

8 unit²

Step-by-step explanation:

Given that:

Lot size = 10 X 5

Sport field = 6 X 2

Dimension of lot left :

(10 - 6) X (5 - 2)

4 X 2

Area left :

Length x width

4 * 2

= 8 units²

Find the side indicated by the variable. Round to the nearest tenth.​

Answers

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32°) = [tex]\frac{16}{b}[/tex]

b = [tex]\frac{16}{\text{tan}(32)}[/tex]

b = [tex]\frac{16}{0.62487}[/tex]

b = 25.605

b ≈ 25.6

Find the length of the
missing side of the triangle
to the nearest tenth.

Answers

Hey! So you’re gonna need to use the Pythagorean Theorem (a^2 + b^2 = c^2).
You’re looking for one of the legs here, so after inputting the values your equations should look like this: 6^2 + b^2 = 10^2.
Next, find what the numbers squared are: 36 + b^2 = 100.
Then, isolate the variable: b^2 = 64.
Lastly, square root both sides: √b^2 = √64.
You should find the answer is 8.

I need help with this question

Answers

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Which graph represents the inequality you found in part i.?

Answers

Answer:

Graph A represents the inequality x > 6.

A

Hope this helps have a great day

4x³ + 9 + 16x² +4 + 12x³ + 17
combine like terms and order

Answers

Answer:

16x^3+16x^2+30

Step-by-step explanation:

simplify the expression
3x +4 +yxy +7y -10x + 6

Answers

Answer:

- 7x + 10 + y² + 7 y

Step-by-step explanation:

Hope this will help

Evaluate the function
F (-2) = x² - 5x + 2

Answers

Answer:

Step-by-step explanation:

Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?

28,993 years
9,955 years
2,899 years
996 years

Answers

Answer:

Step-by-step explanation:

0.5^(t/5730) = 0.30

2^(-t/5730) = 0.30

-t/5730 = log₂0.30

t = -5730 log₂0.30 ≈ 9953 years

HELP ASAP ASAP ASAP PLS PLS JUST PLS

Answers

i hope my answer help you

1st=5x-100

2nd=1/3x-7

3rd=x²×4

GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES

Answers

Answer:

Statement 2: m∠ ELD = (2x)°

Reason 4: Sum of angles on a straight line is equal to 180°

Statement 6: 2x = 56

Step-by-step explanation:

Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°

In statement 4,it is written that;

m∠ ELD + m∠ ELG = 180°

The reason behind this is that;

Sum of angles on a straight line is equal to 180°.

For reason 6, we are told it is a subtraction property.

Now the preceding statement gave us;

2x + 124 = 180

Which means that for subtraction property here, we will have;

2x = 180 - 124

2x = 56

-2/9 +1/5 help me please

Answers

Answer:

-1/45

Step-by-step explanation:

I did the equation okay hope this help!! <3

Answer:

1/40

Step-by-step explanation:

-2/9+ 1/5=0.2r

0.2r convert to fraction=1/40

hope that helps

plz mark as brainliest

what is the value of x
10= 3x - 6
X=

Answers

Answer:

[tex]x= \frac{16}{3}[/tex]

Step-by-step explanation: Can i get brain plz!

add 6 to both sides of the equation
simply/ 16=3x
divide both sides by 3
x = 16/3

What is 9867 rounded to the nearest 1000

Answers

Answer:

10,000

Hope it helps

Have a good day

10,000



Hole this helps

A 34-foot pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the end of the shadow?

Answers

Answer:

108

Step-by-step explanation:

Can you help me solve this please.

Answers

Answer:

down five units, and left three units.

Step-by-step explanation:

The bottom corner moved down five units.

Then that point moved three units to the left.

It's the same for the other points too.

A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin

Answers

Answer:

c

Step-by-step explanation:

a. 3in, 4in, 5 in

5^2 ?  3^2 + 4^

25   ?  9 + 16

25   =  25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2  ?  5^2 + 6^2

49   ?  25 + 36

49   <  61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2  ?  8^2 + 9^2

144    ? 64 + 81

144    < 145

Because 144< 145, this is an acute triangle.

Cos b) 5/13
Tan b) 12/5 or 2 1/6 or 2 2/12
Sin b) 12/13

Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer​

Answers

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

what is the slope of a line that passes through the points (2,7) and (4,11)?

Answers

slope = y2-y1/x2-x1

slope = 11-7/4-2

slope = 4/2

slope = 2

help with rounding off please !:(

Answers

I’m a thief who stole your points lol
The answers are given are below:

Answer:

(a) 3800

(b) 7000

(c) Does unit mean ones place? 31

(d) 82.8

(e) 1000

(f) 0.48

Step-by-step explanation:

Please teach me how to do this thank youuu.

Answers

Answer:

-10.2

Step-by-step explanation:

To find the equation you have to pick to random points, find the slope, and the y-intercept.

(1,-2) (2,2)

Slope = 2 - - 2 / 2 - 1

Slope = 4 / 1

Slope = 4

an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2

when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2

f(-2) = -10.2

* i really hope this made sense

Trey is currently in debt and the balance of his account is -$24. If his
sister Catherine is in three times as much debt as he is, what is the balance
of Catherine's account?

Answers

-24 multiply by three equal to -72 this is what I believe
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