If you have a volume of 188,179 cm3, how many ft does that make?Round to 1 decimal.

The radius of a circle with circumference of 4π/3 is equal to 2/3

The circumference of a circle is the same as the total length of the circle boundary. It can also be called the perimeter of a circle.

The circle in question have its circumference as

4π/3.

circumference of circle = 2πr

4π/3 = 2πr

divide through by π

4/3 = 2r

r = 4/(3×2) {by cross multiplication}

r = 4/6

radius = 2/3.

Therefore, the radius of a circle with circumference of 4π/3 is equal to 2/3

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The radius of a circle with a circumference of 4π/3 is equal to 2/3 units.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, we have the following;

Circumference of circle, C = 2πr

4π/3 = 2πr

4π = 6πr

Radius, r = 4/6 = 2/3 units.

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Answer:

1 degrees F

Step-by-step explanation:

-3+12-6=3

3/3 = 1

1 degrees F

:]

Answer:

I have answered this question already.

Step-by-step explanation:

Answer:

1. 6(a+8)

2.9(a-9b)

Step-by-step explanation:

1. Factor 6a+48

6a+48

=6(a+8)

2. Factor 9a−81b

9a−81b

=9(a−9b)

Hope this helps :)

Answer

(a) $2,240.00

(b) $2,508.80

Step-by-step explanation

Compound interest formula

where

• A: final amount, in dollars

• P: principal, in dollars

• r: interest rate, as a decimal

• n: number of times interest is applied per year

• t: time in years

(a) Substituting into the formula with P = $2000, r = 0.12 (= 12/100), n = 1 (interest is applied once per year), and t = 1 year, we get:

(b) Substituting the same values as item a, except t = 2 years, we get:

Answer:

Step-by-step explanation:

Find all real solutions of the equation. ( 2 b + 4 ) 2 − 12 = 0

( 2 b + 4 ) 2 − 12 = 0

4b + 8 - 12 = 0

4b - 4 = 0

4b = 4

b = 1

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

check

(2*1+4)*2-12=0

12 - 12 = 0

0 = 0

the answer is good

Answer:

1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Answer:

36 questions

Step-by-step explanation:

Find 90% of 40 by turning 90 to a decimal and multiplying 0.9 x 40

Answer:

36!!! (I answered on other question too)

Step-by-step explanation:

Answer:

4  12/25

Step-by-step explanation:

4.48 can be written as 4 48/100

Simplify

4 24/50

Simplify some more

4 12/25

Hope this helped :)

(Didn't you just ask this question?)

Answer:

4 48/100 or 4 12/25

Step-by-step explanation:

the 48 in the hundredths place is obviously going to equal 48/100 and you can divide both the 48 and 100 by 4. 48÷4=12 100÷4=25

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

2,100.000

Step-by-step explanation:

Answer:

2000+100.000=2100

Its simple just calculate it in a calculator...

Answer:

10.7

Step-by-step explanation:

This is because the answer is 10.681415022205297 which is 10.68, but if you round up you get 10.7.

Have a great day! :D

Answer:

circumference = 10.7 mm

Step-by-step explanation:

circumference of a circle = 2\(\pi\)r

(where r is the radius)

Given:

⇒ circumference = 2 x 3.14 x 1.7 = 10.676 = 10.7 mm (nearest tenth)

Answer:

See attached graph

Step-by-step explanation:

We need to convert the polar coordinates into Cartesian coordinates using the rules \(x=r\:cos\theta\) and \(y=r\:sin\theta\) (see table in attached file).

The converted points will start to resemble a circle with a horizontal pole and a diameter of 4, so by connecting the points, we get our equation \(r=4\:cos\theta\).

The total surface area of below figure is 77 inch²

Surface area is a measurement of the total area that the surface of an object occupies. It is typically expressed in square units, such as square meters or square feet. The surface area of an object can be determined by adding up the areas of all of its individual faces or surfaces.

For example, the surface area of a cube can be calculated by finding the area of each face (which is the length of one side squared) and then adding all of those areas together. The formula for the surface area of a cube is 6a², where "a" represents the length of one side.

For the given figure the surface area is the sum of two triangle and one rectangle is;

SA = SA₁ + SA₂ + SA₃

SA = \((\frac{1}{2}* 3 *4 )+ (\frac{1}{2}* 3 *4 ) + (13*5)\)

SA = 6 + 6 + 65

SA = 77 inch²

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Complete question-

Answer:

D

Step-by-step explanation:

Its d Reason is if she has 5 and he has 10 he has twice as much

Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

Answer:

21 pencils

Step-by-step explanation:

b 21 pencils

Answer:

45 carrots and 21 potatoes

we can easily find how many carrots by looking at the x-axis that has a straight line on 45 which is indicate the amount of carrots.

For potatoes we need to find the y value at the interception ( 28, 21 ) , then our y is 21, which is 21 potatoes.

To know the coordinate, we should find the gradient of the graph which is M = 15/20 , then we look at the given answer that closes to the y coordinate of the interception which is around 20 to 25, only 21 is can be used in this answer. To check our justification, we can substitute y = mx + c which become 21 = 0.75x + 0

, our x is 28 which is true because when our y is 21 , the y should be in the middle of 25 to 30. The constant is 0 because the straight line is started at 0 and doesn't shifted yet.

Answer:

look at the picture i have sent

There are 37 pupils in the class.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, the ratio of girls to boys is 4:3, this means that for every 4 girls, there are 3 boys.

We can use this ratio to find the number of boys in the class. Let's set up a proportion:

4 girls : 3 boys = 21 girls : x boys

where x is the number of boys in the class.

To solve for x, we can cross-multiply:

4 girls * x boys = 3 boys * 21 girls

4x = 63

x = 15.75

We can't have a fractional number of students, so we need to round up to the nearest whole number. This means there are 16 boys in the class.

Total number of pupils = 21 girls + 16 boys = 37 pupils

Therefore, there are 37 pupils in the class.

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Complete question:

the ratio of girls to boys is 4:3. Calculate how many pupils there are in the class if there are 21 girls.​

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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Question:

Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

30

∑  (−3i+5)

i=1

Answer:

The first three terms are : 2, -1 and -4

The last term is: -85

The sum of the sequence is: -1245

Step-by-step explanation:

Given;

==================================

30

∑  (−3i+5)                    -------------------(i)

i=1

==================================

Where the ith term aₙ is given by;

\(a_{i}\) = \(-3i + 5\)         -------------------(ii)

(a) Therefore, to get the first three terms (\(a_1, a_2, a_3\)), we substitute i=1,2 and 3 into equation (ii) as follows;

\(a_{1}\) = \(-3(1) + 5\) = 2

\(a_2 = -3(2) + 5 = -1\)

\(a_3 = -3(3) + 5\)\(= -4\)

Since the sum expression in equation (i) goes from i=1 to 30, then the last term of the sequence is when i = 30. This is given by;

\(a_{30} = -3(30) + 5 = -85\)

(b) The sum \(s_n\) of an arithmetic sequence is given by;

\(s_n = \frac{n}{2}[a_1 + a_n]\)   -----------------(iii)

Where;

n = number of terms in the sequence = 30

\(a_1\) = first term = 2

\(a_n\) = last term = -85

Substitute the corresponding values of n, \(a_1\) and \(a_n\) into equation (iii) as follows;

\(s_n = \frac{30}{2}[2 + (-85)]\)

\(s_n\) = 15[-83]

\(s_n\) = -1245

Answer:

Step-by-step explanation:

=

sin

2

x

+

cos

2

x

sin

2

x

cos

2

x

=

1

Answer:

explanation is below happy to help ya!

Step-by-step explanation:

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Answer:

46.2 degrees

Step-by-step explanation:

Use arcsin function (make sure calculator is in degree mode) and perform

\(sin^{-1} (\frac{13}{18} )\\=Angle\)

=46.2 degrees

Answer:

The answer is c 5/6 hopes this helps

Step-by-step explanation: