What is the circumference of the circle in terms of pi? The radius is 2.2
choices are 1.1, 1.21, 2.2 and 4.4
im so confused so could someone please explain what i did wrong?

The first 20 digits of pi are 3.1415926535897932384. It's an irrational number used in many mathematical calculations and its decimal representation never ends or repeats.

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The angle of repose is calculated using the equation θ = cot-1(r/h). For a pile with a height of 19 feet and a base diameter of 30 feet, the angle of repose is approximately 38.03 degrees. Using this angle and the base diameter of 104 feet, we can find that the height of the new pile is approximately 77.07 feet.

The angle of repose θ is related to the height h and base radius r of the conical pile by the equation θ = cot-1(r/h).

Given a pile with a height of 19 feet and a base diameter of 30 feet, we can find its base radius by dividing the diameter by 2, which gives us a radius of 15 feet.

Now, we can substitute the given values into the equation to find the angle of repose θ.

θ = cot-1(15/19)

Using a calculator, we find that the angle of repose is approximately 38.03 degrees.

Next, we can use the height of the new pile and the known angle of repose to find its base radius.

Given a base diameter of 104 feet, the radius is half of the diameter, so the radius is 52 feet.

Now, we can use the equation θ = cot-1(r/h) and solve for h to find the height of the new pile.

h = r / tan(θ)

Substituting the known values, we get:

h = 52 / tan(38.03)

Using a calculator, we find that the height of the pile with a base diameter of 104 feet is approximately 77.07 feet.

Option: D is the correct answer.

          D. The graph would shift 5 units to the left.

We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e.  if a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Here we have:

          [tex]y=x^2+5x-2[/tex] is converted to:

[tex]y=(x+5)^2+5(x+5)-2[/tex]

Here we have a=5>0

            Hence, the shift is 5 units to the left.

We want to find the g'(0) by knowing that:

g(x) + x*sin(g(x)) = x^2

We will get:

g'(0) = 0

First, we can see that:

g(0) is given by:

g(0) + 0*sin(g(0)) = 0^2

g(0) = 0.

Now let's derive this, we can rewrite:

g(x) = x^2 - x*sin(g(x))

Now we just differentiate to get:

g'(x) = 2*x - sin(g(x)) - x*cos(g(x))*g'(x)

Now we need to move all the terms with g'(x) to the left side:

g'(x) + x*cos(g(x))*g'(x) = 2x - sin(g(x))

g'(x)*(1 +  x*cos(g(x)) =  2x - sin(g(x))

g'(x) = ( 2x - sin(g(x)) )/(1 +  x*cos(g(x))

Now we just need to evaluate this in x = 0, so we get:

g'(0) = (2*0 - sin(g(0)))/(1 + 0*cos(g(0)) = -sin(g(0))

And remember that g(0) = 0 then:

g'(0) = -sin(0) = 0

g'(0) = 0

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The correct translation of the function is,

⇒ Four units to the right and three units up from 3√x

Option B is true.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The parent function is,

⇒ f (x) = 3√x

And, the translation of the function is,

y = 3√x- 4 + 3

Now, We get;

The parent function is,

⇒ f (x) = 3√x

After translated Four units to the right we get;

⇒ f (x) = 3√x - 4

And, After translated three units up from 3√x;

f (x) = 3√x- 4 + 3

Thus, The correct translation of the function is,

⇒ Four units to the right and three units up from 3√x

Option B is true.

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The correct answer is:

      Their estimate is longer than the time it will actually take.

( Since, Estimated time-- 1 hour=60 minutes

Time actually taken= 28.125 minutes )

Time taken by Shandra alone to mow the field is: 45 minutes.

Time taken by Kelly alone to mow the field is: 1 hour 15 minutes.

We know that:

1 hour=60 minutes

Hence, 1 hour 15 minutes=60 minutes +15 minutes=75 minutes.

By looking at the time we consider that the total work be of 225 units.

This means that the Efficiency of Shandra is: 225/45=5 units/minutes.

Similarly,

Efficiency of Kelly is: 225/75=3 units/minutes.

Hence, 5+3=8

Hence, the time taken by both of them when they work together is:

225/8

= 28.125 minutes.

But it was estimated that they took 1 hour=60 minutes.

Hence, there estimation of time taken was longer than what they actually took.

The correct answer is statement (c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

The formula for the volume of a cylinder demonstrates how the area of a circle is used to find the volume of the cylinder. Specifically, the volume of a cylinder is given by [tex]\pi r^2h[/tex], where r is the radius of the base (a circle), and h is the height of the cylinder.

This means that the area of a circle [tex](\pi r^2)[/tex] is multiplied by the height (h) of the cylinder to obtain the volume. This clearly shows how the area of a circle is extended into three dimensions to derive the volume of a cylinder.

Complete question :

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

(a) The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
(b) The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
(c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

The combined total weight of the cans and bottles in the truck, if x represents the number of 14-ounce cans, can be represented by the expression 14x + 70(930 - x). This combines the weight of the 14-ounce cans (14x) with the weight of the 70-ounce bottles (70(930-x)).

In order to find the expression for the combined total weight (in ounces) of the cans and bottles in the truck, we have to first determine the number of bottles. We know that the total number of cans and bottles is 930, so the number of bottles would be 930 - x. Each can weighs 14 ounces and each bottle weighs 70 ounces. Therefore, the total weight in ounces will be the sum of the weight of cans and the weight of bottles. This can be represented as 14x + 70(930 - x). This expression represents the combined total weight in ounces of the items in Amanda's truck.

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Step-by-step explanation: A balance sheet is a statement of financial condition at a point in time. It includes assets, liabilities, and equity. The balance sheet demonstrates the overall health of a company. It can be used to obtain loans and more financing.

Answer:

1/32

Step-by-step explanation:

You're welcome

The reference angle for an angle whose measure is -440 is  80.

Reference angle--

It is the angle which is made from the terminal side of the given angle and it is always made by taking x-axis as a reference.

Here we are given a angle whose measure is:

   -440.

This means that the angle covers more than one rotation and ends in the fourth quadrant.

Hence, the reference angle is:

-440+360=80

Final answer:

To calculate the minimum amount of burgers you will need, count the number of individuals who will be eating and multiply it by 2. The Total burgers needed is 50 .

Explanation:

To calculate the minimum amount of burgers you will need, you need to count the number of individuals who will be eating. Let's count:

1 Grandfather

1 Grandmother

2 Fathers

2 Mothers

4 Children

3 Grandchildren

1 Brother

2 Sisters

2 Sons

2 Daughters

1 Father-in-law

1 Mother-in-law

1 Daughter-in-law

Adding all of these individuals, we get a total of 25 people. Since every person will be eating 2 burgers, we can calculate the minimum amount of burgers we will need by multiplying the total number of people by 2:

Total burgers needed = 25 people * 2 burgers per person = 50 burgers

Answer:

The answer is 30

Step-by-step explanation

COE = 55°, m∠2 = 2x, m∠3 = x + 10

2x + x + 10 = 55

3x + 10 = 55

X= 15

2 x 15 = 30

Therefore m∠2 = 30