Find the value of x to the nearest tenth.

Answer:

12.00, 37.70

Step-by-step explanation:

Area of a circle is:

A = πr²

We know A = 113.1 ft², so:

113.1 = πr²

r² = 36.00

r = 6.00

The diameter is double the radius, so:

d = 2r

d = 12.00

The diameter is 12 feet.

The circumference is:

C = 2πr

We found that r = 6 ft, so:

C = 2π (6)

C = 37.70

The circumference is 37.70 ft.

Answer:

C)The rays extend infinitely, and the angle is made by rays which have a common endpoint

Step-by-step explanation:

A ray is a line segment having one end point while extending in the other/opposite direction

An angle is made by two lines(rays) with common end point (vertex)

So when an angle is formed by the pair of intersecting rays the following options are ruled out  

A) rays cannot have two end points

B) As rays extends infinitely in one direction, so having number of points is wrong

D)angles do not have lines

the following is best explanation is C

The rays extend infinitely, and the angle is made by rays which have a common endpoint !

Answer:

I'm pretty sure that the answer is C. The rays extend infinitely, and the angle is made by rays which have a common endpoint! It seems like the most correct answer of them all!

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

[tex]a_{1}[/tex] = - 12

[tex]a_{2}[/tex] = - 12 + 5 = - 7

[tex]a_{3}[/tex] = - 7 + 5 = - 2

[tex]a_{4}[/tex] = - 2 + 5 = 3

[tex]a_{5}[/tex] = 3 + 5 = 8

Answer:

None of the above

Step-by-step explanation:

2 r + ( t + r )

2 r + t + r

3 r + t

Answer:

Cone= [tex]\frac{1}{3} *pi*r^{2}*h[/tex]    Cylinder= [tex]pi*r^{2} * h[/tex]

Step-by-step explanation:

Cone volume= 1/3 × π × r²×h            Cylinder volume= π × r² × h

                        1/3 × π × 15²×7                                         π × 15² × 7

                        1/3 × π × 225×7                                       π × 225 × 7

                        525π                                                       1575π

Answer:

-20

Step-by-step explanation:

-2(3^2)+3-5

-2(9)+3-5

-18+3-5

-18-2

-20

Answer:

-20

Step-by-step explanation:

The guy before me said so

Answer:

The radius of the cylinder is [tex]r=3\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

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

we have

[tex]V=169.65\ ft^{3}[/tex]

[tex]h=2r\ ft[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]169.65=(3.14)r^{2} (2r)[/tex]

[tex]169.65=(6.28)r^{3}[/tex]

[tex]r^{3}=169.65/(6.28)[/tex]

[tex]r=3\ ft[/tex]

Answer:

The ratio between their surface areas = 49/9

Step-by-step explanation:

* Lets revise the similarity of to prism

- If two prisms are similar, then there is a ratio between their

 corresponding dimensions

- There is a ratio between their volumes and surface area

- The the ratio between their corresponding dimensions is a/b,

  then the ratio between their volumes is (a/b)³ and the ratio between

 their surface area is (a/b)²

* Lets solve the problem

∵ The two rectangular prisms are similar

∵ The ratio between their corresponding sides is 7/3

∴ The ratio between their surface areas = (7/3)² = 49/9

* Lets check our answer

∵ The surface area of the rectangular prism is :

  S.A = Perimeter of base × its height + 2 × area of its base

- Find the surface area of the large prism

∵ The base has dimensions 14 units and 21 units

∵ Its height = 7 units

∵ The base is a rectangle

∵ Perimeter the rectangle = 2L + 2W

∵ Area the rectangle = L × W

∴ S.A = (2×14 + 2×21) × 7 + 2(14 × 21) = 1078 unit²

- Find the surface area of the small prism

∵ The base has dimensions 6 units and 9 units

∵ Its height = 3 units

∴ S.A = (2×6 + 2×9) × 3 + 2(6 × 9) = 198 unit²

- Lets find the ratio between them

∴ The ratio between surface areas of them = 1078/198 = 49/9

- It is the same with the answer above so we are right

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It would have to be C because that is the only one longer than the height of the Empire State Building and you can see it has to be larger by the 8:6 ratio between Pablo's shadow and Pablo's height

Final answer:

The reference angle of -150 degrees is found by first determining the positive angle in standard position by adding 180 degrees, resulting in 330 degrees. Since 330 degrees is in the fourth quadrant, we subtract it from 360 degrees to get the reference angle, which is 30 degrees.

Explanation:

To find the reference angle of -150 degrees, we must determine the smallest angle between the terminal side of the given angle and the x-axis. A reference angle is always positive and measured between 0 to 90 degrees. Since -150 degrees is in the third quadrant when considering standard position in a coordinate system, where angles are measured counterclockwise from the positive x-axis, you add 180 degrees to determine its corresponding positive angle in the second quadrant. Therefore, the reference angle of -150 degrees is:

180° - (-150°) = 180° + 150° = 330°

Since 330 degrees is in the fourth quadrant, to find the reference angle, we subtract it from 360 degrees:

360° - 330° = 30°

Thus, the reference angle for -150 degrees is 30 degrees.

I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.

At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.

From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.

I hope this helps

Answer:(3,-3)

Step-by-step explanation:

-6 because 96 divided by 16 is, 6. But since it's -16 it would be a negative, making the answer -6!

Answer:

this is my answer -6 or 16 whatever question you had

Step-by-step explanation:

I agree with ZOMBIE0O That the question is somewhat confusing. I see two options as being possible, depending on the nature of the question. The first option, 49, is a possibility. This would be the answer if the second two numbers were insignificant to the number of books (for example, if it were describing the dimensions of the books as 5•40). The second option is also a possibility, if the question is wanting you to add (49•5)+(5•40).

Answer: The first one is incorect. It may be the second one

Step-by-step explanation:

The histogram displays the distribution of fish counts in 10 tanks, ranging from 30 to 45 fish, with varying frequencies in each interval.

To create a histogram of the given data showing the number of fish in each tank, we'll first need to organize the data into intervals or bins and then count the frequency of fish counts falling within each interval. Here's how we can do it:

1. Determine the intervals or bins to represent the range of fish counts.

2. Count the frequency of fish counts falling within each interval.

3. Draw the histogram with the intervals on the x-axis and the frequency of fish counts on the y-axis.

Given the data: 30, 32, 41, 38, 42, 30, 35, 38, 40, 45

Let's choose intervals of width 5 starting from 25 to 50. Then, we count how many fish counts fall within each interval:

Interval 25-29: 0

Interval 30-34: 3 (30, 32, 30)

Interval 35-39: 3 (38, 35, 38)

Interval 40-44: 3 (41, 42, 40)

Interval 45-49: 1 (45)

Now, we can draw the histogram:

```

Frequency

   |     *

   |     *     *

   |     *  *  *  *

   |     *  *  *  *

   |_____________________

      25  30  35  40  45

```

Each asterisk (*) represents one tank with the corresponding number of fish. The x-axis represents the intervals, and the y-axis represents the frequency of fish counts.

This histogram visually represents the distribution of fish counts in the 10 fish tanks at the pet store.

Answer:

a) Ellipse

b) Sphere

c) Great circle

d) Triangle

e) Circle

Step-by-step explanation:

A) Diagonal cross section of cylinder

Ellipse

B) Shape created when a semi circle is rotated about y axis

Sphere

C) Diagonal cross section through the widest part of sphere

Great Circle

D) Perpendicular cross section of cone

Triangle

E) Cross section parallel to the base of cone

Circle.

Using the surface area of a sphere, it is found that the total surface area that will be painted is of 769.69 cm².

The surface area of a sphere of radius r is given by:

[tex]S = 4\pi r^2[/tex]

In this problem, we have five spheres, with radius(half the diameter) r = 3.5 cm, hence the total surface area in square centimeters is given by:

[tex]S_t = 5 \times 4\pi \times 3.5^2 = 769.69[/tex]

The total surface area that will be painted is of 769.69 cm².

More can be learned about surface area at https://brainly.com/question/13030328

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Answer:

1. J=10

2. L<=7

3. h>32

4. O=15

5. q<=17

Step-by-step explanation:

J/10+4=5

subtract 4 from both sides

j/10=1

multiply 10 by both sides

j=10

-7L+5>=-49

subtract 5 from both sides

-7L>=-49

divide by -7 and change your symbol

L<=7

9+h/2>16

subtract 9 from both sides

h/2>16

multiply by 2 on both sides

h>32

O-5/2=5

multiply by 2 on each side

O-5=10

add 5 on each side

O=15

8q+2<=138

subtract 2 from both sides

8q<=136

divide by 8 on both sides

q<=17

Answer:

2 feet

Step-by-step explanation:

The model is  the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.

Note that the model length is in the numerator and the actual length is in the denominator.

Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .

Set the two ratios equal to each other to obtain the proportion below.

The length of the model is given below.

Therefore, the length of the model is  feet.

The question is about scale conversion in mathematics. Given that Paul's full-sized car is 12 feet long and his model is 1/7th the size of the actual car, the length of the model car would be about 1.71 feet.

The question involves a scale conversion in mathematics. If Paul's car is 12 feet long in real life, and his model is going to be 1/7th the size of the actual car, we need to determine the length of the model using this scaling factor.

To find out the length of the model, you multiply the actual length of the car by the scale factor, which in this case is 1/7. So, the calculation would be as follows:

12 feet (length of the car) * 1/7 (scale factor) = 1.71 feet (approx)

Therefore, the length of Paul's model car would be approximately 1.71 feet.

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Answer:

x= −6

Step-by-step explanation:

you are supposed to isolate the variable by dividing both sides by the factor that do not contain the variable

ANSWER

C 6

EXPLANATION

The given equation is

[tex] - \frac{1}{2} (3x - 4) = 11[/tex]

Multiply through by -2 to get:

[tex] - \frac{1}{2} \times - 2(3x - 4) = 11 \times - 2[/tex]

[tex]3x - 4 = - 22[/tex]

Add 4 to both sides of the equation:

[tex]3x = - 22 + 4[/tex]

[tex]3x = - 18[/tex]

Divide both sides by 3.

[tex]x= - \frac{18}{3} [/tex]

This simplifies to

[tex]x = - 6[/tex]

The correct answer is C

Answer:

C

Step-by-step explanation:

We know a straight angle is 180 degrees ( a straight line).

Looking at the figure, we can say that A + F + E = 180 (since it creates a straight line).

We know A = 45, E = 85, plugging these into the equation, we can solve for F:

A + F + E = 180

45 + F + 85 = 180

130 + F = 180

F = 180 - 130

F = 50

Answer choice C is right.

There are 120 ways we can list 5 basketball players in order in a program.

Permutations are the selection in order from a given set of values. Here, the order is of importance.

There are five basketball players.

We are asked to find the number of ways in which they can be listed in order.

We can use permutations to find the answer.

We can find the number of ways in which the basketball players can be listed in order as follows:

Total number of ways = 5*4*3*2*1

= 20*3*2*1

= 60*2*1

= 120 ways.

The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.

Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.

Learn more about permutations here: https://brainly.com/question/1216161

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Check the picture below.

The answer above is corrected

Answer:

Area = 40

Step-by-step explanation:

The area of a rhombus is

Area = a*b/2

Where a and b are the lengths of the diagonals.

Area = 8 * 10/2

Area = 40

Answer:

40

Step-by-step explanation:

In a rhombus the two diagonals intersect perpendicularly. So you can see a rhombus as the union of two triangles whose base is one of the diagonals of the rhombus and whose height is the half of the other diagonal.

Therfor you can calculate the area of the rhombus calculating the area of the two triangles that are the same.

In this case the area of each triangle must be  [tex]\frac{4\times 10}{2}= 20[/tex] (if you take the 10-lenght-side as the basis of the triangles).

Hence the area of the rhombus is 40 because is the double of the area of each triangle.

Answer:

C, C

Step-by-step explanation:

1. The opposite sides are equal length and parallel, so this is a parallelogram.

Answer C.

2. The length of the midsegment of a trapezoid is the average of the lengths of its top and bottom.

9.2 = 1/2 (12.6 + x)

18.4 = 12.6 + x

x = 5.8

Answer C.

The first one is a parallelogram because it has 2 sets of congruent sides

The second one is (C) AB=5.8 cm

Hey There!

To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...

15,340-13,451= 1,889

You need to add 1,889 more seats.

Hope This helped!

Godspeed,

SongBird

Answer:

The required equation is 13451 + x = 15340,

1,889 seats are needed.

Step-by-step explanation:

Given,

Original number of seats = 13,451,

Also, the number of people who needed to be seated = 15,340,

Let x seats were added,

So, the new number of seats = 13451 + x

Thus, 15,340 will get the seat,

If total seats = 15340

⇒ 13451 + x = 15340

Which is the required equation,

Subtract 13451 on both sides,

We get,

x = 1889

Hence, 1889 seats are needed to accommodate all the people.

Hello There!

Area = ½( 8 * 6) = 24

Answer:

Step-by-step explanation:

Answer: A=24

To figure this out multiply 8 and 6 to get 48.

A triangle is half of a square.

Divide 48 by 2 to get 24.

:)

Answer:

The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Step-by-step explanation:

Notice that even though the range of the function is mathematically defined for all real numbers, in the real world you can't have more than 144,000 granola bars; that occurs when you have no boxes, or in other words, when x = 0

On the other hand, in the real word you can't have a negative quantity of a thing (you can't have minus 2 popsicles, for example). Given that granola bars are things, you must have at least 0 granola bars; in other words the quantity of granola bars must be greater or equal zero.

We know that in the real word you cant have more than 144,000 granola bars, and you must have at least 0 granola bars; therefore, the reasonable range of the function f(x) = –12x + 144,000 is 0 ≤ y ≤ 144,000.

Since we are talking of full granola bars here, the range is limited to whole numbers (whole granola bars).

We can conclude that the correct answer is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Final answer:

The accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Explanation:

The question asks to identify the limitation of the reasonable range compared to the mathematical range for a function modelling the stock of granola bars, f(x) = – 12x + 144,000, based on the number of boxes, x, packaged by a machine.

The mathematical range could theoretically be any real number, but practically, since we are counting discrete items (granola bars), the reasonable range should be limited to whole numbers reflecting the actual possible quantities of granola bars in stock.

Additionally, since the stock cannot be negative and is started with 144,000 granola bars, the stock can range only down to 0 but not below, thus making the reasonable range from 0 to 144,000.

Therefore, the accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Final answer:

The population of 15,000 blue trout is expected to increase to approximately 36,621 individuals after 5 years using the given growth function.

Explanation:

The question asks what happens to the population of 15,000 blue trout released into the Meherrin River after 5 years, given the function f(x) = 15,000(9/8)^x. To find out the population after 5 years, we substitute x = 5 into the function. The calculation proceeds as follows:

Therefore, after 5 years, the blue trout population is expected to increase to approximately 36,621 individuals, assuming ideal conditions without factors like predation or disease significantly impacting the population.