Find the area of the sector of a circle with diameter 32 feet and an angle of 7Pi/4
radians.Round your answer to four decimal places.

Answers

Answer 1

Answer:

703.7168 ft²

Step-by-step explanation:

Use the sector area formula, a = 1/2r²θ

If the diameter is 32 feet, then the radius is 16 feet.

Plug in the radius and angle measure into the formula, and solve:

a = 1/2r²θ

a = 1/2(16)²(7[tex]\pi[/tex]/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²


Related Questions

a ball is drawn randomly from a jar 8 red balls, 12 white balls and 13 yellow balls. find the probability of drawing a white ball

Answers

Here is my solution. Ask if u can’t understand

How many days are there in j weeks​

Answers

Answer:

ummm is that a thing

Step-by-step explanation:

Identify which of the twelve basic functions listed below fit the description given.
y = x, y = x2, y = x3, y = , y = , y = ex, y = , y = ln x, y = sin x, y = cos x, y = int (x), y = 1/1+e-x
The two functions with infinitely many zeros

Answers

Try this option:

only periodical functions have many zeros, that is why y=sinx and y=cosx are the correct answer.

The functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

The two functions with infinitely many zeros from the given list of twelve basic functions are y = x and y = x³

The function y = x has infinitely many zeros because any value of x that equals zero will result in y also being zero.

In other words, for every x value of 0, the corresponding y value is also 0.

This makes the function pass through the origin (0, 0) and have an infinite number of zeros.

2. The function y = x³ also has infinitely many zeros because the cube of any real number is zero if and only if the number itself is zero.

This means that for every x value of 0, the corresponding y value is also 0. Hence, the function y = x³ passes through the origin (0, 0) and has an infinite number of zeros.

In summary, the functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

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RACE A city hosts a race annually. They decide to place a
camera halfway between the start and finish lines. If A
represents the starting line and Z represents the finish line,
find the coordinate of the midpoint.

Answers

Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

Calculate the derivative using implicit differentiation:

∂w /∂z,x^(5)w+w^7+wz^2+8yz=0

∂w/ ∂z= ?

Answers

Step-by-step explanation:

Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]

Taking the partial derivative of the above equation with respect to z, we get

[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]

Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get

[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]

Then

[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]

The derivative using implicit differentiation can be calculated and after rearranging the terms.

What is implicit differentiation?

Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.

We have:

[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]

We have to find the:

= ∂w/ ∂z

[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]

[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]

After rearranging the terms:

[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]

[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]

Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.

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Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.

Answers

B, C, and E are true

Answer:

C

E

Step-by-step explanation:

Is the product of a rational number and an irrational number always irrational?

Answers

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

10. Which statement is NOT true about rational numbers?
F The sum of two rational numbers is also a rational number
G 0is not a rational number.
H The product of two rational numbers is also a rational number.
J The opposite of a rational number is also a rational number.

Answers

Answer:

The rational numbers are the numbers can be expressed in the form of

r =  p/q

Let's see the answer choices:

F The sum of two rational numbers is also a rational number

This is TRUE

G 0 is not a rational number.

This is FALSE as 0 can be expressed in the form of r= p/q, where p = 0

H The product of two rational numbers is also a rational number.

This is TRUE

J The opposite of a rational number is also a rational number.

This is TRUE

Answer:

Answer :-

F. The sum of two ration number is a rational number.

True

Eg - 1/2 + (-1)/3

3 - 2/3 = 1/3

G. 0 is not a rational number

False. Because 0 can't be represented as p/q form.

H. The product of two rational numbers is also a rational number.

True.

Eg - 1/2 × 3/4 = 3/8

J.The opposite of a rational number is also a rational number.

True. Eg - 1/2 and 2/1

A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest

Answers

9514 1404 393

Answer:

  15 in, 30 in, 30 in

Step-by-step explanation:

Let x represent the length of the smallest side. Then the other two sides are (x+15) and (2x). The perimeter is the sum of the side lengths:

  x +(x +15) +2x = 75

  4x = 60

  x = 15 . . . . . . . . . . . shortest side

  (x+15) = 30 . . . . . . second side

  (2x) = 30 . . . . . . . third side

The shortest side is 15 inches, the second side is 30 inches, and the third side is 30 inches.

7. What's the perimeter of a rectangle with length 12 m and width 5 m?
A. 60 m
B. 49 m
C. 34 m
D. 17 m

Answers

Answer:

Option(c) 34m

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

length = 12m

breadth/width = 5m

Perimeter = 2(12 + 5)

                = 2(17)

                = 34m

Answer:

34

you just add, 12+5+12+5 to get 34

solve for r
A= 3r(to the 2 power) i couldn’t make it a small two

Answers

Answer:

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

Step-by-step explanation:

1. A = 3r²

(Divide 3 by both sides)

2. A/3 = r²

(Square root both sides)

√A/3 = r

On solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

We have the following expression -

[tex]$A=3r^{2}[/tex]

We have to solve for r.

Solve for x :  [tex]$x^{2} = 9[/tex]

On solving, we get -

x = [tex]$\pm\sqrt{9}[/tex]

x = [tex]$\pm3[/tex]

According to the question, we have -

[tex]$A=3r^{2}[/tex]

[tex]$r^{2} = \frac{A}{3}[/tex]

r = [tex]\pm\sqrt{\frac{A}{3} }[/tex]

Since, the area cannot be negative, therefore -

r = [tex]\sqrt{\frac{A}{3} }[/tex]

Hence, on solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

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In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help

Answers

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

Application of sine rule.

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

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3/6, 1/12, 3/6, 3/60 determine the lcd by division of prime number

Answers

Answer:

LCD = 60

BRAINLIEST, PLEASE!

Step-by-step explanation:

All of the denominator numbers are multiples of 60, and since 60 is also equal to the largest denominator number, it's the LCD.

7th grade math plz help

Answers

Answer:

The total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

Step-by-step explanation:

Here is how you solve this problem:

1. Replace the variable for 27.

i = [tex]\frac{4}{3} 27 + 3\frac{2}{2}[/tex]

2. To make the equation easier, let's transform this fraction and mixed number into decimals.

4/3 = 4 ÷ 3 = 1.33

3 2/2 = 8/2 = 8 ÷ 2 = 4

3. Now, let's rewrite this equation.

i = 1.33 x 27 + 4

4. It's time to solve the equation.

i = 35.91 + 4

i = 39.91

Therefore, the total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

After writing a $400 check to pay a bill, a student had a balance of $550 in his account. How much did he have in the account before he wrote the check?

a) Let x= his balance before writing the check. Write the equation you would use to solve this problem.

Answers

Answer:

x=950

Step-by-step explanation:

550+400=x

Consider the points below. P(â1, 4, 1), Q(0, 6, 2), R(4, 3, â1)

a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
b. Find the area of the triangle PQR.

Answers

Answer:

B. Find the area of the triangle PQR.

Evaluate81−−√4????? HELP

Answers

3*3*3*3 = 81
Answer = 3

Answer:

3 to the power of 4 is 81

Step-by-step explanation:

Help me then get brainlest

Answers

Hi ;-)

This angle is

obtuse

Answer:

This is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse

The sum of twice a number and three

Answers

Answer:

i dont get what youre asking

Step-by-step explanation:

Answer:

2n + 3

Step-by-step explanation:

n = number

Sum of twice a number (2n) and (3)

-> 2n + 3

4 adults consumed food costing $60 for 3days. For the same food cost ,what would be the cost of food consumed by 7 adults for 5days?

Answers

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

3cm and 7cm
please help me find the area and the perimeter of the above figures using the formular ​

Answers

Its must be a rectangle

Length=3cmBreadth=7cm

Perimeter:-

[tex]\\ \sf\longmapsto 2(L+B)[/tex]

[tex]\\ \sf\longmapsto 2(3+7)[/tex]

[tex]\\ \sf\longmapsto 2(10)[/tex]

[tex]\\ \sf\longmapsto 20cm[/tex]

Area:-

[tex]\\ \sf\longmapsto Length\times Breadth[/tex]

[tex]\\ \sf\longmapsto 3(7)[/tex]

[tex]\\ \sf\longmapsto 21cm^2[/tex]

Answer:

Length=3cm

breadth=7cm

Area(A)=?

we know that,

Area of rectangle (A)=l*b

=3cm*7cm

= 21cm^2

Now,

Perimeter (P)= 2(l+b)

=2(3cm+7cm)

=2*10cm

=20cm Ans.

a rectangle has points at 4, 2, 6, 2, 4, 7, and 6, 7 what is the perimeter of the square

Answers

Answer:

Perimeter=14

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Write an
equation that passes through the origin with a rate of change equal to 1

Answers

Answer:

y = x

Step-by-step explanation:

Rate of change is also known as the gradient of a curve and denoted as "m".

If the rate of change is equal to one then "m" is equal to 1

In the general equation of a straight line:

y = mx + c

this would look like:

y = 1x

If it passes through the origin it intercepts the y-axis at 0 so c = 0

y = x + 0

or

y = x

(Please mark as brainliest)

help me for 50 points​

Answers

Answer:

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

find x
14.5, -8, -4.5, x; The mean is 9.5. ​

Answers

Answer:

x = 36

Step-by-step explanation:

multiply 4 and 9.5 to get the total amount.

38 = 14.5 + (-8) + (-4.5) + x; hence x is 36.

Answer: x=36

Step-by-step explanation:

To solve this question, we first want to know what mean is. Mean is the same as the average. You take the sum and divide it by the amount. Since we know there are 4 numbers and the mean, we can easily find the value of x.

[tex]\frac{14.5-8-4.5+x}{4} =9.5[/tex]               [multiply both sides by 4]

[tex]14.5-8-4.5+x=38[/tex]       [combine like terms]

[tex]2+x=38[/tex]                          [subtract both sides by 2]

[tex]x=36[/tex]

Now, we know that x=36.

Problem 2
Find the area of each shaded region. Show or explain your reasoning.
A
2 cm
B
2 cm
2cm
6 cm
5 cm
3 cm
6 cm
8 cm
C С
D
15 cm
8 cm
8 cm
15 cm
9 cm
6 cm
10 cm

Answers

Step-by-step explanation:

A

this is the combination of a 4×6 rectangle and a 2×2 square. nothing is excluded.

so, the area is

(6-2)×6 + 2×2 = 4×6 + 4 = 24 + 4 = 28 cm²

B

this is the area of the large 8×5 rectangle minus the area of the small 2×3 rectangle.

so the area is

8×5 - 3×2 = 40 - 6 = 34 cm²

C

Basically the same thing as for B. large rectangle minus smaller rectangle.

so, the area is

15×10 - 9×6 = 150 - 54 = 96 cm²

D

the area of a triangle is

baseline × height / 2

or baseline here is 2×8, and the height is 5

so we get the area

2×8 × 5 / 2 = 8×5 = 40 cm²

How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.

Answers

It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

Need help for this question. ASAP

Answers

Answer:

Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed left

Unit 1.1.E.01 State the value of the CONSTANT TERM. y=x2−4

Answers

Answer:

-4

Step-by-step explanation:

Should be lah, cuz the others like y and x2 are variables

Solve the below:
4x+3y=7 3x-2y=9

Answers

4x+3y=7
3x-2y=9

12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4

12x+9y=36
- 12x-8y=36

17y=-15
^^Then subtract those two new equations

17y/17= -15/17

Y= -0.88
^^Next divide both sides by 17

4x+3* -0.88=7

4x + (-2.64) =7
-(-2.64) -(-2.64)

4x = 9.64

4x/4=9.64/4
X=2.41

^^then choose on equation and put your new y in the y spot and solve.


X=2.41

Y=-0.88

Your point/coordinate is (2.41,-.88)
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