what is the angle measure of an arc bounding sector with an area of 5pie square miles?

What Is The Angle Measure Of An Arc Bounding Sector With An Area Of 5pie Square Miles?

Answers

Answer 1

if the diameter is 20, the its radius must be half that or 10.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}[/tex]


Related Questions

12.44 = 4x what does x =

Answers


4 * x = 12.44

4/4 * x = 12.44 / 4

x = 3.11

Answer:

x = 3.11

Step-by-step explanation:

To find the value of 'x', divide both sides of the equation by 4

12.44 = 4x

[tex]\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x[/tex]

Help picture below problem 12

Answers

Answer:

78°

Step-by-step explanation:

Angles on a straight line = 180°

AD is the straight line

Angle BFA = 48

Angle CFD = 54

54 + 48 = 102

180 - 102 = 78

Therefore, Angle BFC = 78°

What is the area of this figure?

Answers

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet.



What is the area of the window?

Enter your answer in the box.

ft2

Answers

Answer:

60 ft²

Step-by-step explanation:

A = 1/2 × b × h

A = 1/2 × 12ft × 10ft

A = 1/2 × 120 ft

A = 60ft²

What is the difference between Surface Area and Lateral Surface Area?

Answers

Answer:

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

Step-by-step explanation:

Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

How to determine the value?

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

P is the principal amountI is the simple interestR is the interest rateT is the time

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

Learn about simple interest at: https://brainly.com/question/25793394

#SPJ2

Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️

Answers

Answer:  1570 square inches

This value is approximate since pi = 3.14 is approximate.

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

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into [tex]\text{in}^2[/tex]

If you want to get a more accurate surface area value, then use more decimal digits of pi.

Is the table a linear or exponential function?

Answers

Answer:

exponential

Step-by-step explanation:

there is a multiplier of 8 between each number

Are the ratios 3:4 and 4:3 equivalent??

Answers

Answer:

Those ratios are not equivalent

Step-by-step explanation:

3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one

Need help with his geometry question. Find the value of x

Answers

[tex] \frac{12}{16} = \frac{x}{13} [/tex]

[tex]16x = 12 \times 13[/tex]

[tex]x = \frac{12 \times 13}{16} [/tex]

[tex]x = \frac{156}{16} = 9.75[/tex]

Complete or justify each step. 2(2h + 2)2(3h + 5) - 12 Distributive Property 4h + 4 < 6h-2 Simplify (combine like terms). 4h+ 4- 6h 6h-2-6h - 2h + 4<-2 simplify-2h<-6 simplify h>3​

Answers

Answer:

7[tex]\geq[/tex][tex]\frac{h}{14}[/tex]

Step-by-step explanation:

Mark brainliest

A dress normally costs £35.
The price is reduced by 15% in a sale.
What is the price of the dress in the sale?

Answers

Answer:

£29.75.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Sale price = 35 - 0.15*35

= £29.75.

Select the correct answer from each drop-down menu.
Look at the expression below.



Where could parentheses be placed in the expression for it to equal 4?

Where could parentheses be placed in the expression for it to equal 358?

Answers

The expression that the question is referring to is not visible. Sorry, I couldn’t give you a more valid answer.

A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows

Answers

Answer:

Step-by-step explanation:

1.1 L

Given:

A rectangular container that has:

   a length of 30 cm,

   a width of 20 cm, and

   a height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow =

Thus, the volume of water overflow of the container is 1.1 L.

One person is selected at random from a class of 15 males and 14 females. Find the odds against selecting
a) a female.
b) a male.

Answers

Answer:

48% chance to be female and 52% chance to be male.

Step-by-step explanation:

14 female + 15 males =  29 total people

a) 14 females/29 total = 0.48... * 100 = 48%

b) 15 males/29 total = 0.57.... * 100 = 52%

Help help help ASAP help

Answers

Answer:

(8, -2)

Step-by-step explanation:

While reflection over x-axis, the x-coordinate remains the same  and the y-coordinate changes to it's opposite.

So,

Rx-axis =>  = (8, -2)

What is the absolute
value for:
|-771

Answers

Answer:

771 is the absolute value of -771.

Step-by-step explanation:

The absolute value is the distance of that number from 0. Therefore, negative or not, the number shown will always be the positive number that it is.

Examples:

|-8| = 8.

|2|=2

|-9912|=9912

|236|=236

Continued explanation:

Because the absolute value is the distance of that number from zero, the value will always be positive. And then the distance is going to be the same number.

I hope this helps!

-No one

In the game of​ roulette, a player can place a ​$7 bet on the number 5 and have a 1/38 probability of winning. If the metal ball lands on ​, the player gets to keep the ​$7 paid to play the game and the player is awarded an additional ​$245. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$7. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose? Question content area bottom Part 1 The expected value is ​$ -0.37. the player would expect to lose about ​$

Answers

Answer:

973.68 times

Step-by-step explanation:

Since you would expect to win 1 in 38, the amount of times you will win in 1000 times is 1000 / 38 which is 26.32. therefore you would expect to lose 1000 - 26.32 times which is 973.68

where does leprechaun come from

Answers

Answer:

A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.

Answer:

Step-by-step explanation:

Kim is 15 years old. Her father is 4 times as old as her now. In how many years time their total age be 115 years.

Answers

Answer:

20 years time

Step-by-step explanation:

You are considering buying a swimming pool and have narrowed the choices to
two-one that is circular and one that is rectangular. The width of the rectangular pool is three times its depth. Its length is 6 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper.

16. Find the ratio of the volume of the circular pool to the volume of the rectangular pool.

17. The volume of the rectangular pool is 2592 cubic feet. How many gallons
of water are needed to fill the circular pool if I gallon is approximately 0.134 cubic foot?

Answers

Answer:

245² ft high or something else

What is 2/5 divided by 5

Answers

Answer:

0.08 I hope this is right

Step-by-step explanation:

2/5 = 0.4÷5 = 0.08

Answer:

Step-by-step explanation:

Use KCF method

K - Keep the first fraction

C- change the operation ÷ to multiplication

F - Flip the second fraction

[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]

What is the volume of this object?

PLSSS HELP RIGHT ANSWER BRAN;EST

Answers

Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below


Hope this helps :)

3
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
o As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
o As demand rises, the price of the product decreases.

Answers

Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

which functions graph is the widest parabola A. y=1/8x^ B.y=3x^ C. y=1/3x^ D. y=8x^

Answers

We look for the one with the least coefficient of x²:

[tex] \frac{1}{8} = 0.125[/tex]

[tex]3 = 3[/tex]

[tex] \frac{1}{3} = 0.333[/tex]

[tex]8 = 8[/tex]

Answer:y=1/8 x²

Answer:

A. y=1/8x^

Step-by-step explanation:

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.
What is the approximate side length of the square?

3.0 units
3.5 units
4.2 units
4.9 units

Answers

Step-by-step explanation:

in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).

the diagonal is 3+3 = 6 units long.

let's call the square side length "s".

then we have via Pythagoras

6² = s² + s² = 2s²

36 = 2s²

18 = s²

s = 4.242640687 ≈ 4.2 units

Which expression is equivalent to 7x2/2x4.62x12, if x # 0?
OA. 26 r22
B. 13.r12/2
O C. 84x10
D. 42x12/2

Answers

Answer:

C

ЖStep-by-step explanationЖ

⇒ [tex]7x^2\sqrt{2x^4}\bullet\ 6\sqrt{2x^1^2}[/tex]

[tex]=7\sqrt{2}x^4\bullet 6\sqrt{2}x^6[/tex]

[tex]=84x^1^0[/tex]

[tex]So\ choose\ C[/tex]

[tex]\{square\ root\ \}.[/tex]

I hope this helps you

:)

A number w minus 3 is less than or equals to 10

Answers

Answer:

Step-by-step explanation:

A number w minus 3 (w - 3) is less than or equal (≤) to 10

w - 3 ≤ 10

   + 3  + 3

w ≤ 13

Hope this helps!

When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply

A)187.556
B)188.454
C)187.548
D)187.553
E)187.550

Answers

Answer:

C, D, E,

Step-by-step explanation:

All of these will round to 187.55

On the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answers

Answer:

*View the attached graph*

Step-by-step explanation:

Hope it helps!

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