If the volume of a cylinder is 847pi yds^3 and the height is 7 yards, what is the radius?

Answers

Answer 1

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

Calculating the volume of a cylinder

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

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Related Questions

b) Find
the sum of the series 72 +70+68+ + 40

Answers

I think the answer is 250

Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes

Answers

Answer:

In the white box with the "?" PUT 40

final answer: 13/20

Step-by-step explanation:

4/10 + 25/100

can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.

4/10 + 25/100

= 40/100 + 25/100

Keep the bottom, add the tops.

= (40+25)/100

= 65/100

always simplify when possible. 5 goes into both 65 and also 100

65/100

= 13/20

13/20 of Shira's garden is planted with carrots and potatoes.

What percent of 75 is 24?

Answers

Answer:

Your Answer is 32%

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?

Answers

Answer:

NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...

Step-by-step explanation:

Answer:

Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.

Step-by-step explanation:

100% on edge

What is the value of x

Answers

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

HELPPP!!
Statement:

Some whole numbers are
irrational numbers.

True or False?

Some rational numbers are not whole numbers.

True or False?

Some irrational numbers are not integers.

True or False?

All rational numbers are integers.

Answers

Answer:

Step-by-step explanation:

Comment

A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1

Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.

Some irrational numbers are not integers. I'm tempted to say this is true.

pi is irrational and it certainly is not an integer.

Answer

false

true

true.

Find five consecutive even integers such that four times the first number plus the fourth number is 35

Answers

The five consecutive even integers such that the four times the first number plus the fourth number is 35 are 6 , 8, 10, 12, and 14.

How to find the consecutive integers of the sequence?

The even integers are consecutive. Therefore,

let the first even integer = x

Therefore, the sequence is as follows:

x, x + 2, x + 4, x + 6, x + 8.....

Therefore,

4x + x + 6 = 36

5x + 6 = 36

5x  = 36 - 6

5x = 30

x = 30 / 5

x = 6

Therefore, the numbers are as follows;

66 + 2 = 86 + 4 = 106 + 6 = 126 + 8 = 14

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May I please get help to this question.

Answers

Answer: 3

Step-by-step explanation:

Katie recorded the length in inches of the ribbon pieces she was going to use for a project use this information for questions one and two which line plot correctly shows the data

Answers

Answer:

you didnt show any picture so i cant answer

Step-by-step explanation:

Answer:

D OR B hope this helps!

Step-by-step explanation:

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING

Answers

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

Determine the equation of the line passing through the points (−1,1) and (1,7).

Write the line in standard form Ax+By=C.

Answers

Answer:

[tex]3x - y = -4[/tex]

Step-by-step explanation:

To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex]  where m is the slope and b is the y-intercept.

1. Find the slope:

[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]

2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]

[tex]1 = 3(-1) + b[/tex]

so [tex]b[/tex] = 4

3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]

4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.

Our result is [tex]3x - y = -4[/tex].

Hope this helps :)

Please help me with those questions as soon as possible

Help me please!!!!!!

Answers

1.a. Typical number chosen = the median value = 6

b. 27

2. a. 21

b. b. How the scores vary = Range of the scores = 5

c. Mode = 8

d. Median = 8

What is the Range, Mode, and Median of a Data Set?

Range = Highest value - least value

Mode = most occurred data point

Median = center value of the data distribution (typical value of a dot plot).

1. a. Typical number chosen = the median value (center value) on the dot plot = 6

b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.

2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10

a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.

b. How the scores vary = Range of the scores = 10 - 5 = 5

c. Mode of the data = 8

d. Median score = 8

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Question #6 MultipleChoice
Show Answer
To find the amount of paper needed to cover the outside of a box, which of the following measurements would
you need to find?
volume of a rectangular prism
volume of a cylinder
surface area of a rectangular prism
surface area of a cylinder
Question #7 MultipleChoice
Show Answer

Answers

Volume of a rectangular prism:))

Hope that helps

Answer:

the surface area of a rectangular prism

Step-by-step explanation:

Solve using substitution
y= 7x + 6
4x - 3y =16

Answers

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.


Someone please help me answer my questions I’m very confused!!

Answers

Answer:

The answer to ur question is C

i need help with it pls

Answers

Answer:

Step-by-step explanation:

Step 1: What are the couch's original coordinates?

A: (-4, 2)N: (-4, 3)G: (-1, 3)L: (-1, 4)E: (-5, 4)S: (-5, 2)

Step 2: Rotate the couch 90° counterclockwise.

Rule: (x, y) → (-y, x)

A': (-4, 2) → (-2, -4)N': (-4, 3) → (-3, -4)G': (-1, 3) → (-3, -1)L': (-1, 4) → (-4, -1)E': (-5, 4) → (-4, -5)S': (-5, 2) → (-2, -5)

Step 3: Now reflect the "new" couch over the y-axis.

Rule: (x, y) → (-x, y)

A'': (-2, -4) → (2, -4)N'': (-3, -4) → (3, -4)G'': (-3, -1) → (3, -1)L'': (-4, -1) → (4, -1)E'': (-4, -5) → (4, -5)S'': (-2, -5) → (2, -5)

Step 4: Finally translate the new new" couch right 1 unit and up 5 units.

Rule: (x + 1, y + 5)

A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)

Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.

EG: (-5, 4)(-1, 3) E'''G''': (5, 0)(4, 4)

Distance between E(-5, 4) and G(-1, 3)

x₁ = -5x₂ = -1y₁ = 4y₂ = 3

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]

Distance between E'''(5, 0) and G'''(4, 4)

x₁ = 5x₂ = 4y₁ = 0y₂ = 4

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]

This means that the length of EG is the same as the length of E'''G'''.

Hope this helps!

hi! i cant find the answer on brainly for these questions!
a. 10- 4/10=?
b. 25- 3/25=?
c. 105- 84/84
d. 170- 125/125
thnx!

Answers

Answer:

a. 10 - [tex]\frac{2}{5}[/tex] = [tex]9\frac{3}{5}[/tex] or 9.6

b. 25 - [tex]\frac{3}{25}[/tex]= [tex]24 \frac{22}{25}[/tex] or 24.88

c. 105-[tex]\frac{84}{84}[/tex] = 104.0

d. 170 - [tex]\frac{125}{125}[/tex] = 169.0

Find the area of a circle with a diameter of 8 cm. Use T = 3.14 Round your answer to the nearest hundredth.​

Answers

Answer:

25.12

Step-by-step explanation:

c=(pi)(d)

c=3.14*8

c=25.12

please need help involve steps for better understanding conic section​

Answers

Identifying it: It’s a hyperbola.

It has a vertical transverse axis (it lies on the y-axis). There is a vertex at (0, 4) and (0,0).
See the lines creating an X? Where they meet is the hyperbolas center point: (0, 2).

The general equation for this is ((y-k)^2)/a^2 - ((x-h)^2)/b^2. The center is (h, k), a = distance from center to vertex, c = distance from center to foci. b^2 = a^2 - c^2.

a = 2; center (0,2) to vertex (0,0).
b =5; from center (0,2) to the right (or left, either works) line of the box outlined inside of the hyperbola.

Now start substituting values into the hyperbola equation: ((y - 2)^2)/2^2 - ((x - 0)^2)/5^2. Also, since x-0 is just x, instructors might appreciate:

((y - 2)^2)/2^2 - (x^2)/5^2. That’s it!

I hope this helps, I’m very tired so I’m sorry if I don’t explain very good. Best of luck :)

PLEASE HELP!

Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. State your answer as a list with $x$ first and $y$ second, separated by a comma.

Answers

Using the Euclidean algorithm  integer integers $x$ and $y$  is: [ (-30 + 37k ), (133 - 164k) ].  

Euclidean Algorithm

Given:

$164x + 37y = 1

First step

Sequence of quotients

4(37) + 16=164

2(16) + 5=37

3(5) + 1=16

4(1) + 1=5

1(1) + 0=1

       4     2     3     4     1

1 0     1     2     7    30    37

0 1     4     9    31  133  164

Determinant

(164×30) - (37×133)

=4,920-4,921

= -1

164(-30) + 37(133)

=-4,920+4,921

= 1  

Second step

Integer

[(x + bk), (y - ak) ]

Where:

x = -30

y = 133

k=integer

Hence:

[ (-30 + 37k ), (133 - 164k) ]  

Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].  

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How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.

Answers

Answer:

Step-by-step explanation:

The radius of the is extended to 2*3 = 6 cm.

The measure of the central angle is unchanged.

please solve the problem

I want whole process​

Answers

Answer:

1

Step-by-step explanation:

⠀⠀⠀⠀□ Question

[tex] \Large \frac{ {x}^{p(q - r)} }{ {x}^{q(p - r)} } \div {( \frac{ {x}^{q} }{{x}^{p} } })^{r} [/tex]

⠀⠀⠀⠀■ Solution

Multiplying the power

[tex] \sf \Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \div \frac{ {x}^{qr} }{ {x}^{pr} } [/tex]

Changing ÷ sign into × by doing reciprocal

[tex] \sf\Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \times \frac{ {x}^{pr} }{ {x}^{qr} } [/tex]

As the base(x) is same, if the value is multipying so the power will add, if the value is dividing so the power will subtract.

[tex] \sf {x}^{pq - pr - pq + qr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - pr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - qr + pr - pr} [/tex]

If the power of any value become 0,so it's value is always equal to 1

[tex] \sf \Large{ {x}^{0} } \\ \\ \boxed {\large {\rightarrow1 }}[/tex]

Answer:

1

Step-by-step explanation:

Solving :

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex](\frac{x^{q} }{x^{p} })^{r}[/tex]

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex][ ({x^{q-p} })^{r}| or| x^{r(q-p)} ][/tex]

⇒ [tex]{x}^{pq-pr-qp+qr}[/tex] ÷ [tex]x^{rq-rp}[/tex]

⇒ [tex]x^{pq-pq+qr-qr+pr-pr}[/tex]

⇒ x⁰

1

order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4

Answers

Answer:

its already in order from least to greatest

Step-by-step explanation:

Already ordered to lease to greatest

What is the area of this figure? Please help.

Answers

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

Area of a composite figure

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

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Anyone knows this answer

Answers

Answer: radius

Step-by-step explanation:

     The radius is the distance halfway across a circle. Since C is the center of the circle and E is along the outside, the answer is;

                       Radius

2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n ​

Answers

Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

Find the x-intercept of the line whose equation is 8x + 2y = 4.
04
02
1/2

Answers

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

Whoever answers these 6 area of composite shapes will get brainliest.

Thank you for your hard work!

Answers

Answer:

80 mi²63 in²32 m²44 cm²59.5 ft²48 km²

Step-by-step explanation:

Q1

8 x 4 + 12 x 432 + 4880 mi²

Q2

5 x 3 + 12 x 415 + 4863 in²

Q3

4 x 2 + 8 x 38 + 2432 m²

Q4

10 x 4 + 2 x 240 + 444 cm²

Q5

5 x 2 + 11 x 4.510 + 49.559.5 ft²

Q6

3 x 1 + 9 x 53 + 4548 km²


5) In the segment below, segment DC = 29, lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for

Answers

Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

What are the Trigonometric Ratios?

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

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A train travels 80 mph for 2 hours and then it travels 60 mph for 3 hours . What is its average speed over the entire 5-hour trip?

Answers

Answer:

68 mph

Step-by-step explanation:

80 m/hr * 2 hr = 160 miles

60 m/hr * 3 hr = 180 miles

total miles / total time = average speed

340 miles / 5 hr = 68 m p h

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