The radius of a circle is 4 feet. What is the area of a sector bounded by a 45 degree arc

Answers

Answer 1
45/360 * 4^2 pi = 6.283
ANSWER IS 6.283 (3 decimal places)
Answer 2

Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²


Related Questions

Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest

child.​

Answers

Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively

Step-by-step explanation:

Ratio of the ages of three children is 2:5:1.

Total ratio =2+5+1=8

So that

the 1st Child's age =2/8 x 32=8  years

2nd  Child's age =5/8 x 32= 20 years

3rd Child's age =1/8 x 32= 4  years

Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.​

19 pounds = how many
ounces

Answers

Answer:

304oz

Step-by-step explanation:

(MATH) (6) ((PHOTO))
label is ft​

Answers

Answer:

6 feet

Step-by-step explanation:

Volume of a rectangular prism = L × W × H

15 feet × 8 feet × H = 720 feet ³

120H = 720

H = 720 ÷ 120

H = 6 feet

Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?

Answers

Answer:

1/5

Step-by-step explanation:

What is the 5280th digit in the decimal expansion of 7/17?

Answers

Answer:

im pretty sure its either 1 or 7

Step-by-step explanation:

8 digits theheheheheheheheh

• 1 1 Write equivalent fractions for 3 and 1. using 12 as the common denominator. 3 -1- 12 12​

Answers

Answer:

6 and 8

Step-by-step explanation:

A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?

A) 4x - 1
B) 12x -2
C) 12x + 1
D) 24x + 2 ​

Answers

Answer:

D

Step-by-step explanation:

perimeter=2(l+b)

2[(4x+5)+(8x-4)]

2(4x+8x+5-4)

2(12x+1)

24x+2

I need help ASAP!!


The Wilson family purchased a triangular corner lot in Harnett count. What is the area of the lot?


A. 1,400

B. 2,800

C. 3,200

D. 5,600

Answers

Answer:

1/2 x base x height our base being 140 and our height being 80 and the answer is 5600

Answer: d is your answer hope this helped

plz make brainly

Step-by-step explanation:

Find the value of (1/9)3

PLZ HELP!!

Answers

1/9 ÷ 3 = 1/27 in fraction form. 1/9 ÷ 3 = 0.037 in decimal form.

Answer:

1/3

Step-by-step explanation:

Find the mean,median ,and mode of the following set of data Weight of the 7 fish that were caught (lbs) are: 12,3,7,8,9,12,10

Answers

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]

[tex]\text{Mean}=\dfrac{61}{7}[/tex]

[tex]\text{Mean}\approx 8.7143[/tex]

Number of observations is 7 which is an odd number. So, the median is:

[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{8}{2}\text{th term}[/tex]

[tex]Median=4\text{th term}[/tex]

The 4th term from the arranged data set is 9.

[tex]Median=9[/tex]

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.

PLEASE HELP MEEE I GAVE 50 POINTSSS

Answers

Answer:

1. y = x + 9

a. yes, b. no, c. yes

2. y = 4x

a. yes, b. no, c. no

3. y = -1/3x

a. no, b. yes, c. no

4. x = y + 4  

a. no, b. no, c. yes

5. x + 2y = 10  

a. no, b. yes, c. no

what are the lengths of sides a and b?​

Answers

Answer:

[tex]a =\frac{\sqrt 3}{2}[/tex] mi

[tex]b =\frac{1}{2}[/tex] mi

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]

[tex]\sin(60) = a[/tex]

[tex]a = \sin(60)[/tex]

In radical form:

[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]

Hence:

[tex]a =\frac{\sqrt 3}{2}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

[tex]\sin(30) = \frac{b}{1}[/tex]

[tex]\sin(30) = b[/tex]

Rewrite as:

[tex]b =\sin(30)[/tex]

In radical form:

[tex]\sin(30) = \frac{1}{2}[/tex]

Hence:

[tex]b =\frac{1}{2}[/tex]

PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.

months x: 0 3 6
hair Length y:11.0 12.5 14.0

a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept

The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.

Answers

The difference between 11.0 and 12.5 is 1.5 and same with 12.5 and 14.0, so 1.5 is what the hair increases by every THREE months but if you want to find PER month, you are going to divide 1.5 by those 3 months to get .5 inches per month, so your slope will be 1/2

HELP!!!? PLS ASP!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

12x12 = 144 per side

144x6 sides = 864

Answer:864

Step-by-step explanation:

Help me I really need this done

Answers

Answer: I think it's 24

Step-by-step explanation:

A class has five students. What is the probability that exactly two of the students were born on a weekend?

Answers

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

Learn more about probability here:

https://brainly.com/question/11234923

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How do I solve this?

Answers

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C


Helppppp plz
Times New Roman, 14px
1.5pt B I U Ꭶ A Ꭺ
Part 1: Use a sequence to represent the air loss in a bike tire.
A manufacturer of bicycle tires performs an experiment to determine the daily loss of air when the cap on
a bicycle inner tube is loose. At the end of the experiment, the company concluded that customers can
expect to lose an average of 2.8 psi (pounds per square inch) per day when the bike is not in use.
1. One bike owner fills his tires to 98 psi on the first day of August, but does not realize that the caps are
loose.
I
a) Make a table showing the expected daily psi for the tires if no air is added for a week. (3 points)
b) What type of sequence can be used to represent the expected psi of the tires? Explain. (2 points)
c) Write the formula for the nth term in the sequence. (2 points)

Answers

Answer:

Have you gotten the answers yet?

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

the second picture is to part D if you can't see it

When Linda makes potato salad, she uses 6 potatoes and 4 hard-boiled eggs.
How many eggs will she need if she uses 12 potatoes?

Answers

Answer:

8

Step-by-step explanation:

So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.

Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ1

Chris's art Class is 8 hours long. How long is his class in minutes?

Answers

60 minutes in an hour
60 x 8 = 480
his class is 480 minutes long

Can somebody please help me with question number 1

Answers

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

Find P (R|Q). A. 3/11 B. 4/11 C. 7/3 D.

Answers

C. because of the law of gays!!

This figure is made up of unit cubes, each with a volume of 1 cubic unit. What is the volume of the figure?

Answers

Answer:

100

Step-by-step explanation:

80+20=100

Answer:

100 cubic units

Step-by-step explanation:

I'm just different like that man

A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next​

Answers

Answer:

my opinion is A hope it helps

Answer: B- Members of A are even numbers, and members of B are odd numbers.

Step-by-step explanation:

help meh pwase explain how ur answer is plz

Answers

Answer: for question 2

B

Step-by-step explanation:

23.15

+12.67

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

35.82

40.00

- 35.82

---------

4.18

I’ll give points + brainalist for the correct answer

Answers

Answer:

B: $14.50

Step-by-step explanation:

8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.

A paper company will manufacture 167 tons of paper this year. Each year, the company produces 18 more tons of paper
than in the previous year. How many total tons of paper will the company produce in the next 4 years (including this year
n = 4)?

Answers

Try using division!

Answer:776

Step-by-step explanation:

The expression for the nth term in a sequence is 6n-3. Write the first 4 terms.

Answers

Answer:

3, 9, 15, 21

Step-by-step explanation:

6n-3

n = 1: 6(1) - 3 = 3

n = 2: 6(2) - 3 = 9

n = 3: 6(3) - 3 = 15

n = 4: 6(4) - 3 = 21

Help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option D.

Step-by-step explanation:

Have a fantastic Day !

the answer is D !!

have a great rest of your day
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