This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?

Answers

Answer 1

Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet


Related Questions

help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.

Answers

Answer:

Domain is the whole R and the range is R+. The domain is continuous

in angle PQR, angleQ=70 angle R=45 then angleP=.....

Answers

Answer:

65

Step-by-step explanation:

Because its a triangle,

P + Q + R = 180

So,

P + 70 + 45 = 180

P + 115 = 180

Subtract 115 on both sides

P = 65

What is five ones and eight tenths greater than or less than or equal to fifty eight tenths

Answers

Answer:

definetely 2

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.

Hope this helps! :)

can someone help me please.

Answers

Answer:

A. 11.18

Step-by-step explanation:

(1, -2) will be x1 and y1.

(-9, 3) will be x2 and y2

The formula is

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute in all the variables.

[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]

Solve.

[tex]\sqrt{(-10)^2+5^2}[/tex]

[tex]\sqrt{100+25}[/tex]

[tex]5\sqrt{5}[/tex]

11.18033988.....

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

11.18 units

Step-by-step explanation:

d = distance

d = √((x2 - x1)² + (y2 - y1)²)

Where the first point = (x1, y1)
Where the second point = (x2, y2)

Points: (1, -2) & (-9, 3)

d = √((-9 - 1)² + (3 - -2)²)

d = √((-10)² + (5)²)

d = √((100) + (25))

d = √125

d = 11.18

The distance is 11.18 units








Find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104 m.​

Answers

Answer:

l=30

or

22 it is the coret anser

If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!

Answers

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

Problem
Write the slope of the line containing each pair of points.
1. (3,4) and (5,7)

Answers

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

To keep it short and simple. Subtract 3 to five making it 2 and 4 to 7 making it 3. Since the slope is the rise and the y axis is the run the equation should be rise over run making it 3/2

Derek walks to his best friends house at a rate of 1 block per minute, then turns around and walks home. The graph shows the distance Derek walks in the given amount of time. Write an equation for the graph.

Answers

In this question, we have to find an equation for two lines, depending on the input x, which creates the following piecewise function for this graph:

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

Equation of a line:

The equation of a line is given by:

[tex]y = mt + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

This situation:

One line for x between 0 and 10;Another for x between 10 and 20;

x between 0 and 10:

From here, we can take two points (t,y). I will take (0,0) and (10,10).

From point (0,0), we get that when [tex]x = 0, y = 0[/tex], which means that the y-intercept is [tex]b = 0[/tex], thus:

[tex]y_1 = mt[/tex]

To find the slope, when we have two points, it is given by change in y divided by change in t, so:

Change in t: 10 - 0 = 10

Change in y: 10 - 0 = 10

Slope: [tex]m = \frac{10}{10} = 1[/tex]

Thus, the first definition is:

[tex]y_1 = t, 0 \leq t < 10[/tex]

x between 10 and 20:

I will take the points (10,10) and (20,0).

First, we find the slope:

Change in t: 20 - 10 = 10

Change in y: 0 - 10 = -10

Slope: [tex]m = \frac{-10}{10} = -1[/tex]

Thus:

[tex]y_2 = -t + b[/tex]

For the intercept, we have point (20,0), which means that when [tex]t = 20, y = 0[/tex]. So

[tex]0 = -20 + b[/tex]

[tex]b = 20[/tex]

Thus, the second definition is:

[tex]y_2 = -t + 20, 10 \leq t \leq 20[/tex]

Write an equation for the graph.

We use the two definitions, that is:

[tex]y = y_1, 0 \leq t \leq 10, y_2, 10 \leq t \leq 20[/tex]

So

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

A similar question can be found at https://brainly.com/question/16024991

Prove that angle ADC is congruent to angle CBA

with solution!

Answers

Step-by-step explanation:

< i'll use this too represent angle

this is only presuming that this is a parallelogram and i also don't know what those numbers mean

< ACB = < CAD         (alt <s of DA II CB)             A

< ACD = < CAB        (alt <s of DC II AB)              A

AB is common                                                     S

therefore, ∆ADC is congruent to ∆CBA

if ∆ADC is congruent to ∆CBA

then < ADC = < CBA

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2​

Answers

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Rewrite using exponents

AxAxAxAxAxAxA



need answer quick!!! please

Answers

Answer:

A^7

Step-by-step explanation:

Believe this is worth 7 pts please help!

Answers

Answer:

-12

Step-by-step explanation:

The average rate of change is found by

f(4) - f(2)

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

4-2

32 - 56

----------

4-2

-24

------

2

-12

Rihanna works in a coffee shop approximately nine miles from her apartment She bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. However, on her way to work, she always stops halfway through to meet her best friend at a park. If the distance from apartment to the park is (5x +2) miles and the trip from the park to the coffee shop is (25x -8) miles long, then what is the value of x?

Answers

Answer:

x = 0.5

Step-by-step explanation:

When we add up the distance between the apartment and park with the distance between the park and the coffee shop, the total will equal nine miles.

Our equation will look like this:

(5x + 2) + (25x - 8) = 9

Add up the like terms

5x + 2 + 25x - 8 = 9

30x - 6 = 9

Add 6 to both sides

30x - 6 = 9

      + 6  + 6

30x = 15

Divide both sides by the coefficient, 30, to isolate the variable, x

30x/30 = 15/30

x = 15/30

Reduce

x = 1/2

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC = DEF?

Check all that apply.

A. AAS
B. LA
С. НА
D. HL
E. SAS
F. SSS

Answers

Answer:

D, F, E

Step-by-step explanation:

As the legs and hypotenuse are equal, HL can be used. All the sides are equal so SSS can be used. Two pair of sides and 90 degrees are equal so SAS can be used

lilly just paid off a 400$ loan. she had to pay 60 in interest at a simple annual interest rate of 5%. how many years did lily have this loan?

•A.) 2

•B.) 3

•C.) 4.5

•D.) 5

Answers

Answer:

B.) 3

Step-by-step explanation:

Interest = prinipical ^ interest rate ^ year

60 = 400 ^ 5% ^ year

year = 60/400^5%

3years

In the last 6 days, Laura has
jogged 39 miles. At what rate did
Laura jog each day?
A: 234 miles per day
B: 33 miles per day
C: 6.5 miles per day
D: 0.15 miles per day

Answers

Answer:

6.5 miles per day

Step-by-step explanation:

Take the number of miles and divide by the number of days

39 miles/ 6 days

6.5 miles per day

Answer: 6.5 miles per day is correct

Step-by-step explanation:

You would just need to divide 39 by 6 to find the total miles per day. Therefore C: 6.5 is correct!

I WILL GIVE BRAINLIEST!! plz no links

9) Simplify.

Answers

Answer:

root 3/4

Step-by-step explanation:

[tex](32)^{1/5}[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?

a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.

b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.

c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.

d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.

Answers

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.

Must click thanks and mark brainliest

Which inequality is graphed on the coordinate plane shown?


A
y≥2x−6

B
y<2x−6

C
y>2x−6

D
y≤2x−6

Answers

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6

On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.

Answers

Answer:

That is the graph for y = -|x| + 3


Please help with number 8. And if you can explain how you got the answer please do and I’ll give brainliest

Answers

Answer:

X=7.9

Y=7.9

Step-by-step explanation:

We have that x=y

And form Pythagoras theorem we have

[tex]5 \sqrt{5} = \sqrt{x ^{2} + x ^{2} } \\ take \: the \: square \: of \: the \: two \: sides \\ 125 = 2x ^{2} \\ x {}^{2} = 62.5 \\ x = 7.9[/tex]

So x = y = 7.9

please help! need the answers in order to move on:) will give brainliest to correct answer!

Answers

The answer is 5 3/3 but the on something that look likes a check mark ur gonna put the 3 on top & the other 3 on the bottom & ur gonna out the 5 on the check

The plot of land illustrated in the accompanying diagram has a perimeter of 34 yards. Find the length, in yards, of each side of the figure

Answers

Answer:

Length of x+3= 6.75

Length of 4x=15

Length of 3x-1=10,25

Step-by-step explanation:

First make an equation and find x x+3+3x+1+4x=34Then solve for x, answer will be 3,753,75 represents x

25 mi/h ≈ _______ft/s

Answers

There are 5280 feet to 1 mile, and 3600 seconds to 1 hour. So

(25 mi/h) × (5280 ft/mi) × (1/3600 h/s) = 110/3 ft/s ≈ 36.7 ft/s

Hi

1 mile is 5280 feet.  

1 hours is 3 600 seconds  

So 25 mi/h  is   25* 5280   = 132 000 feets in 3 600 seconds.

So  :   132 000 /3 600 =   1 320 / 36 =36.66

25 mi/h≈ 36.6666 ft/s

A
A 30 m high pillar has been broken 10 m above from the ground. The tip of the broken part makes an angle of ...........with the ground

Answers

Answer: Angie of 30 degrees

- 30m high pillar has been broken 10 m above ground = 20m

So,

sin0 = 10/20
sin0 = 1/2
= 30 degrees

What is -3/4+2 3/4?

1.3 1/2
2.3 3/4
3.2/ 1/2
4. 2

Answers

Answer:

[tex]2[/tex]

4th Answer is Correct

Step-by-step explanation:

[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]

4th answer is correct

Fraction -3/4 can be written as - 3/4 by extracting the negative sign.

Multiply 2 and 4 to get 8

add 8 and 3 to get 11

Since -\frac{3}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

Add -3 and 11 to get 8

Divide 8 by 4 to get 2

so answer is 2

i need help again.lol

Answers

Answer:

[tex]13\ units[/tex]

Step-by-step explanation:

One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:

[tex]k\ (-3,5)[/tex]

[tex]j\ (-8, -7)[/tex]

Substitute these points into the formula and solve for the distance between these points,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

Simplify,

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]

[tex]D=\sqrt{(5)^2+(12)^2[/tex]

[tex]D=\sqrt{25+144}[/tex]

[tex]D=\sqrt{169}[/tex]

[tex]D=13[/tex]

Change 300mm into cm​

Answers

Answer:

30 centimeters

Step-by-step explanation:

true

It’s going to be 30 Cm

A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.

____feet squared

Answers

28.26 feet squared

Work:
A = π r²
A = 3.14 (3²)
A = 3.14 (9)
A = 28.26
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