A cylinder has a height of 5 feet. Its volume is 1,271.7 cubic feet. What is the radius of the cylinder?

Answers

Answer 1

Answer: [tex]9\ ft[/tex]

Step-by-step explanation:

Given

Height of the cylinder [tex]h=5\ ft[/tex]

Volume of the cylinder [tex]V=1271.7\ ft^3[/tex]

The volume of the cylinder is given by [tex]V=\pi r^2h[/tex]

Consider r be the radius of the circle

[tex]\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=\dfrac{1271.7}{3.142\times 5}\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft[/tex]

Thus, the radius of the cylinder is [tex]9\ ft[/tex]


Related Questions

Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Answer:

Secθ = 11 / 9.22 or sec33°

Sinθ = 6 / 11 or Sin33°

Tanθ = 6 / 9.22 or Tan33°

θ = 33°

Step-by-step explanation:

Given:

Hypotenuse = 11 unit

Perpendicular = 6 unit

Find:

Secθ

Sinθ

Tanθ

Computation:

Base = √Hypotenuse² - Perpendicular²

Base = √11² - 6²

Base = √121 - 36

Base = √85

Base = 9.22 unit (Approx.)

Secθ = Hypotenuse / Base

Secθ = 11 / 9.22 or sec33°

Sinθ = Perpendicular / Hypotenuse

Sinθ = 6 / 11 or Sin33°

Tanθ = Perpendicular / Base

Tanθ = 6 / 9.22 or Tan33°

So value of θ = 33°

Here's the revenue and expenses for the month. Calculate whether Mia had a profit or loss.
JANUARY ACCOUNTS
KING
3.00
REVENUE
FIXED EXPENSES
VARIABLE EXPENSES
NEWSPAPER AD
$200
NGS
0.00
DOG FOOD
CAT FOOD
PET TREATS
PET SUPPLIES
$3,500
$2,100
$1,200
$2,750
RENT
$2,000
SALARIES
$2,000
UTILITIES
$1,000
PRODUCT STOCK $4,000
TOTAL
$9,550
TOTAL
$9,000
TOTAL
$200
ENTER MIA'S TOTAL PROFIT/LOSS FOR THE MONTH IN THE BOX BELOW, THEN CLICK SUBMIT.
$

Answers

Answer:350

Step-by-step explanation:

Just take away 9,550 - 9,200 = 350

What is the surface area of the solid that this net can form?

Answers

you just find the surface area for each rectangle/square and then add them together

5x8=40

5x8=40

25x5=125

8x25=200

5x25=125

8x25=200

add those numbers and you get 730 :)

Raul ordered 1 small photo enlargement and 4 medium photo enlargements for $29. Patricia ordered 5 small photo enlargements and 2 medium photo enlargments for $28

Answers

Answer:

m = $6.5

s = $3

Step-by-step explanation:

Raul ordered 1 small photo enlargement and 4 medium photo enlargements for $29. Patricia ordered 5 small photo enlargements and 2 medium photo enlargments for $28. determine the price of the small photo enlargements and medium photo enlargments

two equations can be derived from the question

s + 4m  = 29 equation 1

5s + 2m = 28 equation 2

where

s = small photo enlargements

m = medium photo enlargements

multiply equation 1 by 5

5s + 20m = 145 equation 3

subtract equation 2 from 3

18m = 117

m = 6.5

substitute for m in equation 1

s = 29 - (4 x 6.5)

s = 3

X°, y° and z °are three angles lying on a straight line having vertices at same point. If y° =45° and z °=86°. Find the value of x.

Answers

Answer:

49degrees

Step-by-step explanation:

The sum of angle on a straight line is 180degrees, hence;

x + y + z = 180

x + 45 + 86 = 180

x + 131 = 180

x = 180 - 131

x = 49degrees

Hence the value of x is 49degrees

If x and y are two supplementary angles whereas m

Answers

Answer:

110degrees

Step-by-step explanation:

Complete question

Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.

The sum of two supplementary angles is 180degrees, hence;

m<x + m<y = 180

70 + m<y = 180

m<y = 180 - 70

m<y = 110degrees

Hence the measure of ,=m<y is 110degrees

Find the indicated side of the triangle.
b
45°
a
28

Answers

the answer should be 14√2

edit: its 28 over 2

Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?

Answers

Answer:

Harry receives £4500

Step-by-step explanation:

Sum of the ratio = 8

Total amount - 7200

[tex]Jay's\ share = \frac{1}{8} \times 7200 = 900\\\\Sheila's \ share = \frac{2}{8} \times 7200 = 2 \times 900 = 1800\\\\Harry 's \ share = \frac{5}{8} \times 7200 = 5 \times 900 = 4500[/tex]

Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true. ​

Answers

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

What is the value of h for the parallelogram at the right?
9.6 units
48 units
26.7 units
96 units

Answers

The value of the parallelogram is 48 units
48 units is your answer

x=y-8 7x+2y=16 what is the answer???

Answers

Answer:

x = 0 , y = 8

Step-by-step explanation:

x = y - 8 -----(1)

7x + 2y = 16 --------(2)

Substitute (1) in (2)

7(y - 8) + 2y = 16

7y - 56 + 2y = 16

9y = 72

y = 8

Substitute y in (1)

x = 8 - 8 = 0

En la feria una pera tiene un valor de b pesos y una manzana cuesta 7 pesos menos.la señora Rina compro 4 peras y una manzana. En términos de b, encuentra en total que la señora Rina pago.

Answers

Answer:

El total que la señora Rina pagó por sus frutas, en términos de b, es:

5b - 7

Step-by-step explanation:

Para resolver este ejercicio, primero sacaremos las variable que nos brindan:

Costo de la pera = bCosto de la manzana = b - 7 (esto se debe a que la manzana cuesta 7 pesos menos que la pera, tal como dice el enunciado).

Ahora, nos centraremos en la compra realizada por la señora Rina, donde se menciona que:

Compra de la señora Rina = 4 peras + 1 manzana

Ahora, como si esto fuera una ecuación, vamos a reemplazar las manzanas y las peras por las variables que tenemos de su costo:

Compra de la señora Rina = 4b + b - 7

Y procedemos a operar:

Compra de la señora Rina = 5b - 7 (sumando 4b + b)

Por lo tanto, la compra de la señora Rina, en términos de b, le ha costado 5b - 7.

Use scientific notation to express your answer. (5x10^8)(4x10^3)

Answers

Answer:

2e12

Step-by-step explanation:

what is the function ???? please help fast

Answers

Answer:

hope it's helpful my dear gana

From a horizontal distance of 80 m, the angle of elevation to the top of a flagpole is 18 degree. Calculate the height of the flagpole to the nearest whole meter.

Answers

Answer:

26m

Step-by-step explanation:

The value of the opposite side (height of the flagpole) is to be determined given the angle and the value of the adjacent side(horizontal distance )

We would use tan 18 to determine the value of the missing side

tan 18 = opposite / adjacent

0.3249 = opposite / 80

0.3249 x 80 = 26m

please find attached a graphical interpretation of this question

Write the correct order of letter to the finish line! Urgent help btw it’s not L

Answers

Answer: hello your question is incomplete attached below is the complete question

answer : AEIJKGFCH

Step-by-step explanation:

The first Image is the first part of the question, to write the correct order of letter to the finish line, we will use the details on the first image.

Hence the Correct order of letter to the Finish line: AEIJKGFCH

If you can travel 120 miles in 3 hours (180 minutes), what is the distance you could travel in 75 minutes
a. 50 miles
C. 70 miles
b. 60 miles
d. 80 miles

Answers

Answer:

[tex]Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph[/tex]

T = 75minutes = (75/60) hours

[tex]Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles[/tex]

option A

Answer:

B. 60 miles

Step-by-step explanation:

Which set shows a subset of the set of natural numbers?
A
B.
C.
{19, 22, 34, 56 )
{16.9, 34.5, 67.2, 78.3}
{0, 22, 43, 78)
22.
-1
100)
7
D.​

Answers

Hi my name is joe how are you

someone pls help!

Exponential function fis represented by the table.
Х
-2
-1
0
1
2
f(x)
-46
-22
-10
-4
-1
Function g is represented by the equation.
I
g(x) = -18
18(1) + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
ОА.
Both functions are increasing, but function fincreases at a faster average rate.
OB.
Only function fis increasing, but both functions are negative.
OC.
Both functions are increasing, but function g increases at a faster average rate.
OD.
Only function fis increasing, and only function fis negative.

Answers

Answer:

okkkkk

wait

helping see the attachment

The statement that correctly compares the two functions on the interval [-1, 2] is that Both functions are increasing, but function g increases at a faster average rate.

How do you know an exponential function?

Exponential functions are kwon to be a type of function that is often written in the form: y = abx.

Where:

b = constant ratio.

a = initial value.

One can known this function if a given table of ordered pairs, has  x increasing by a constant value and the value of y increases by a common ratio.

From the Exponential table, we can see that the two functions (x, fx)are increasing, but only that of function g was said to have increases at a faster average rate.

Learn more about Exponential function from

https://brainly.com/question/12940982

The highest common factor of 10 and 18

Answers

Answer:

The highest common factor of 10 and 18 is 2

Step-by-step explanation:

10:  1,10,2,5

18: 1,18,2,9,3,6,

Look which is common in both of these and both of them have 2 in common.

The HCF of 10 and 18 is 2.

To find the highest common factor (HCF) of 10 and 18, we can determine the largest number that divides evenly into both of them.

We can start by listing the factors of each number:

Factors of 10: 1, 2, 5, 10

Factors of 18: 1, 2, 3, 6, 9, 18

From the lists, we can see that the common factors of 10 and 18 are 1 and 2.

To find the HCF, we select the largest common factor, which is 2. Therefore, the HCF of 10 and 18 is 2.

The HCF represents the largest number that divides evenly into both given numbers, without leaving any remainder. In this case, 2 is the highest common factor, as it is the largest number that can divide both 10 and 18 without leaving any remainder.

To learn more about the greatest common factor;

https://brainly.com/question/11221202

#SPJ6

Write the equation of the line in slope-intercept form.

Answers

Answer:

[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]

Question 1 of 10
f(x) = x2. What is g(x)?
9(x)
(1.4)
f(x)
O A 962)-(3
O B. g(x) = (2x)
c. g(x) = 2x²
OD. (X) = (4x)

Answers

Answer:

[tex]B)~g(x)=(2x)^{2}[/tex]

Step-by-step explanation:

g(1)=(2(1))²

= 2²

=4

g(x)= (2x)²

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

hope it helps...

have a great day!!

If the given function is f(x)=x², the value of g(x) will be (2x)².

What is a function?

Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.

It is given that the coordinate values are (1.4).

For the given function,

g(1)=(2(1))²

g(1)= 2²

g(1)=4

Since g(x)= (2x)² satisfies the given coordinate values it will be the obtained result.


Thus the obtained function will be g(x)= (2x)².

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?

Answers

Answer:

It would be 125 fish.

Step-by-step explanation:

This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.

Explain what's happening in Step 2.

Answers

Answer:

The person is adding the numbers in the tenth place and carrying the leftover ten over onto the one's place.

Step-by-step explanation:

PLEASE HELP!!! find the value of x. if necessary, write your answer in simplest radical form

Answers

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

8^2+x^2=12^2

64+x^2=144

x^2=80

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

using Pythagorean theorema²+b²=c²

12 hypotenuse and let us say 8 is the 'a'

=> 8²+x²=12²

=>64+x²=144

=>x²=144–64

=>√x²=√80

=>x=4√5

Solve the inequality 4(x – 3) – 7 < 2(x – 3).

Answers

Answer:

{x}\lt\frac{{13}}{{2}}

Step-by-step explanation:

Answer:

x < 13/2

Step-by-step explanation:

4(x-3) -7: 4x - 19

4x - 19 < 2x-6

4x - 19 + 19 < 2x - 6 + 19

4x < 2x + 13

4x - 2x < 2x + 13 - 2x

2x < 13

2x/2 < 13/2

x < 13/2

Determine the approximate area of trapezoid

Answers

Answer:

25 squared cm

Step-by-step explanation:

Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])

h = height

[tex]b_{1}[/tex] = base 1

[tex]b_{2}[/tex] = base 2

A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)

A = 25

What is the value of w?​

Answers

Answer:

2

Step-by-step explanation:

If you need me to write it I will

5. Find the area of the composite figure *

Answers

Answer:

187.5 ft²

Step-by-step explanation:

15 x 15 = 225

1/2(5 x 15) = 37.5

225 - 37.5 = 187.5

Answer:

the area is 187.5

Step-by-step explanation:

First we must split this figure into two, now we have a triangle on top of a rectangle (we know this is a rectangle because the length is longer than the width)

to find the area of a rectangle we must use the equation l*w=A so

15*10=150

Now that we have the area of the rectangle we must find the area of the triangle

We can see one side is longer, this shows us that the triangle is 5 units tall and 15 units long

the formula to find the area of a right triangle is ab/2=A

5*15/2=A

75/2=A

37.5=A

now we have both areas we add them together

37.5+150=187.5

187.5 is your answer

SOMEBODY HELP HELP HELP ANSWER IT FAST

Answers

-8
Explanation: hasbulla

Answer:

uh I'd dint get the quss tho

area of a rectangle = length × breadth

= 2 × (n - 3)

= 2n - 6

so this this the answer? lemme know in the comments. plz

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