The radius of a circle is 10 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer 1
45°
r=10 m







Hope that helps
Answer 2

Answer:

39.25 square ft

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]


Related Questions

Someone please help

Answers

The total is 360°. Your answer would be 120, if you subtract the other angles from 360.

Answer:

100

Step-by-step explanation:

360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.

Can you help me on question 25?!

Answers

Not sure if I’m correct because I don’t know if I solved it the right way but it should be(and this is just a guess) A.

boole summation formula used in real life

Answers

Elbert frank cox? I think

Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)


Answers

Mr. Thomas can make 50 batches of sugar cookies

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

WILL GIVE BRAINLIEST Stefan is making new cushion covers for a chair. There are three sizes of
cushions on the chair. What is the surface area of the seat bottom cushion?
A. 990 square inches
B. 846 square inches
C. 320 square inches
D. 756 square inches

Answers

Answer: 990

Step-by-step explanation:

(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990

Answer:

A. 990

Step-by-step explanation:

A number equals four less than three times the number.
How do you write this equation

Answers

Answer:

n = 4 - 3

Step-by-step explanation:

PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.



What is the unit rate of her speed in miles per minute?

Answers

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

Answers

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

what is 0.48 times 0.4

Answers

Answer:

0.193

Step-by-step explanation:

how do you complete this task?

Answers

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

Answer:

[tex]-\frac{3}{2} [/tex]

Step-by-step explanation:

3x + 2y + 18 = 0

Equating it with.

ax + by + c = 0, we find:

a = 3, b = 2, c = 18

Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]

What is the scale factor of this dilation?

A:2/3
B:1 1/2
C:3
D:5


Please hurry it’s timed

Answers

Answer:

1 1/2

B

Step-by-step explanation:

A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).

(a) Determine the slope of the new road.

(b) Determine the equation of the new road.

Answers

Determine the equation of the new road

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?​

Answers

It is the place value in the hundreds

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The value of 5 in the given numbers can be written as,

The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

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“Half of a number (n) is at least 22."
translate and solve

Answers

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

Choose the number that correctly completes the ratio table.

Answers

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Pls help!! i beg you

Answers

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

   

   

Hope It Helps!

calcule el cociente de los siguientes ejercicios
(-8)/(+2)​

Answers

Answer:

-4

Step-by-step explanation:

(20,-6)(6,5) find the slope

Answers

Slope (m) =
ΔY
ΔX
=
5
4
= 1.25
θ =
arctan( ΔY )
ΔX
= 51.34019174591°
ΔX = 6 – -6 = 12
ΔY = 20 – 5 = 15
Distance (d) = √ΔX2 + ΔY2 = √369
= 19.209372712299

Equation of the line:

y = 1.25x + 12.5

or
y =
5 x
4
+ 25
2
When x=0, y = 12.5
When y=0, x = -10

A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?

Answers

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?

Answers

40% more rhdjdjdjdjdjdbdbdbd

1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50

Medium 10 oz cup for $3.49

Large 15 oz. cup for $5.99

Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer

Answers

Super size gives you the best price per ounce

Put these fractions in order of size

Answers

1/6 = 4/24
3/8 = 9/24
11/24
1/3 = 8/24
5/12 = 10/24

1/6, 1/3, 3/8, 5/12, 11/24

2x+3y=5x-y2x+3y=5x−y

Answers

Here you go, please tell me if you got it right or wrong. Good luck! I’m sorry if it’s incorrect btw.

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?

Answers

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

​9 ×​ 10²
I NEED ANSWERS QUICK

Answers

900.


Hope this helps!

what is the area of a circular swimming pool with the radius of 3 feet

Answers

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

The interval(s) for which the function shown below is increasing

Answers

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

pls brainlist

A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).

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