Please Help!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.

Please Help!This Composite Figure Is Created By Placing A Sector Of A Circle On A Rectangle. What Is

Answers

Answer 1

Answer:

29.92 m²

Step-by-step explanation:

Area of the rectangle = 5.5 * 4 = 22 m²

Radius of the circle = 5.5 m

Area of the sector of the circle = π*(5.5)² * 30/360 = 7.92 m²

Total area = 22 + 7.92 = 29.92 m²


Related Questions

Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?

Answers

Answer:

6 hours and 24 min

Step-by-step explanation:

The distance is:

60*8 = 480 miles

Return trip will take:

480/75 = 6.4 hours = 6 hours and 24 min

A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.

Answers

Answer:

  √53 ≈ 7.3 miles

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.

__

If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...

  c² = a² +b²

  c² = 2² +7² = 53

  c = √53 . . . . . exact corner-corner distance in miles

  c ≈ 7.3 . . . . . . approximate corner-corner distance

The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.

1
Ramsey has 16 books to read for AR.
1/8 of the books are biographies.
1/4 of the books are fantasy.
The remaining books are adventure books.
How many of the AR books are adventure
books?

Answers

Answer:

10

Step-by-step explanation:

1/8 of 16 is 2

1/4 of 16 is 4

2+4=6

16-6=10

10. Given a = 7, b = 6, and c = 10, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

11. Find the area of the triangle given a = 13, c = 21, and B = 87 degrees. Round your answer to the nearest tenth.

12. Find the area of the triangle given a = 6, b = 16, and C = 95 degrees. Round your answer to the nearest tenth.

Answers

Answer:

10) 44° (nearest degree)

11) 136.6 units² (nearest tenth)

12) 47.8 units² (nearest tenth)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

All 20 people must go as one group if they want to save $500.

help please!
I need to prove this using identites
show all steps

cosx+cos7x/sinx-sin7x=-cot3x​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\cos A+\cos B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)\\\\\\\sin A-\sin B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-B}{2}\bigg)[/tex]

Use Even/Odd Identities:    cos (-A) = - cos A

                                             sin (-A) =   sin (A)

Use Quotient Identity:   [tex]\cot A=\dfrac{\cos A}{\sin A}[/tex]

Proof LHS →  RHS:

[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\cos x+\cos 7x}{\sin x - \sin 7x}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \cos \bigg(\dfrac{x-7x}{2}\bigg)}{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \sin \bigg(\dfrac{x-7x}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \cos \bigg(\dfrac{-6x}{2}\bigg)}{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \sin \bigg(\dfrac{-6x}{2}\bigg)}[/tex]

                          [tex]= \dfrac{ \cos (-3x)}{\sin(-3x)}[/tex]

[tex]\text{Even Odd:}\qquad \quad \dfrac{ -\cos (3x)}{\sin(3x)}[/tex]

[tex]\text{Quotient:}\qquad \quad -\cot(3x)[/tex]

LHS = RHS  [tex]\checkmark[/tex]

please help please help

Answers

Answer:

1/16 meters

Step-by-step explanation:

perimeter of a square = 4 x length of each side,

so the length of each side is (1/4)/4 = 1/16 meters

What is the length of b in the triangle?

Answers

Answer:

8 in

Step-by-step explanation:

[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]

What are the answers??

Answers

Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798

You measure containers for international shipments. The height of the standard container is 6 feet and 7 inches. What is its height in meters?

Answers

Answer:

2.042 meters hope this helps

The height of the container in meters is 2.0066.

What is unitary method ?

Unitary method is a mathematical way of first determining the value of a single unit then deriving the given unit from it.

According to the given question containers for international shipments measures 6 feet and 7 inches.

We know 1 feet is 12 inches.

6 feet is (12 × 6) = 72 inches.

So, 6 feet 7 inches is (72 + 7) inches which is 79 inches.

We know 1 inches is 0.0254 meter.

∴ 79 inches is ( 79 × 0.0254 ) meter which is

= 2.0066 meters.

learn more about unitary method here :

https://brainly.com/question/21648365

#SPJ2

solve the inequality and state the answer in interval notations 3x-7 ≤ 14

Answers

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

PLEASE ANSWER FAST!!!

Answers

Angle QPR is equal to 92 degrees

The equation y=-3x² describes a parabola. Which way does the parabola open?

A. Left
B. Right
C. Up
D. Down

Answers

D. Down should be correct

I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.

Please help me
I'll give brainiest

Answers

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

help plss help me find the awnser ​

Answers

Answer:

3) D

5) C

3) 6m+5n-m --> 6(5)+5(3)-(5)

                          30+15-5 --> 45-5 --> 40

5) 4(x+4)+2

   4x + 16 +2

   4x +18

Answer:

3)

Given:

m = 5

n = 3

We plug in these values into our equation (6m + 5n - m);

6m + 5n - m

Now modified, would be:

6(5) + 5(3) - 5

30 + 15 - 5

45 - 5

= 40

5)

If we simplify this expression,

4(x + 4) + 2

We use the distributive property to multiply 4 to both x and 4 which are in the brackets.

Which will now be;

4x + 16 + 2

Now we combine like terms (our constants):

(16 + 2) = 18

So it would be, now:-

4x + 18, C is your answer.

A practice field is in the shape of a rectangle. The area of the practice field is represented by 5x^2 + 30x -7xy -42y. Find the expressions that represent the length and width of the practice field.

Answers

Answer:

length and width are x + 6 and 5x - 7y

Step-by-step explanation:

5x² + 30x - 7xy - 42y

= 5x(x + 6) - 7y(x + 6)

= (x + 6)(5x - 7y)

so

length and width are x + 6 and 5x - 7y

factorise fullythe following

7x^3-35x
4x^3+24x^2

Answers

Answer:

[tex]7x(x^2-5)[/tex]

Step-by-step explanation:

[tex]7x^3-35x[/tex]

Factor Greatest Common Factors out

[tex]7x(x^2-5)[/tex]

I hope this helps you

:)

You were asked to factor 16x^4 + 25. Which of the following is true? ANSWER ASAP

Answers

Answer: Please explain what you mean by "Which of the following is true?"

Overall, This is the step to solve the equation.

Step-by-step explanation:

16x4=64

64+25=89

Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees​

Answers

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place

Answers

Answer:

your answer would be 2035.75ft³

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope would be -1/2

PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?



__ tons

Give total of tons correctly

Answers

The answer is 1.5 tons

Helllllllllpppppppppp

Answers

Answer:

C

Step-by-step explanation:

Literally just do the work yourself man...

What is the value of 5.7 x 1089

Answers

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

Jessie is following a chocolate milk recipe that requires of 2 cups milk and 5 tablespoons of cocoa powder. He wants to make a large batch. How many cups of milk does he need if the batch requires 40 tablespoons of cocoa powder?

Answers

Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?

Answers

The number of cats that you have is; 27 cats

How to calculate algebra word problems?

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; https://brainly.com/question/13818690

Mary drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?

Answers

Answer: 13.60 gallons divide 355 by 17 to get the base miles per gallon then use that and divide it 284 by 20.88

Step-by-step explanation:

Step-by-step explanation:

17g = 335miles

1g = 335÷17

= 19.70588235

284miles = (284÷19.70588235) × 1

284miles = 14.4119403

Answers:

284miles = 14.41gallons (2.dp)

OR

284miles = 15gallons (nearest whole number)

what is the mean for 98,78,84,75,91

Answers

the mean is going to be 85.2

slope of the line that contains (-8,2) , (7,-4)

Answers

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer:

-2/5

Step-by-step explanation:

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

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].


2
8
11
13

Answers

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]

[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]

1/7 x 2/3
whats the answer? show ur work

Answers

Answer:

Step-by-step explanation:

1/7×2/3=2/21

Solution with Steps

1/7×2/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×2 and 7×3=2/21

This fraction cannot be reduced.

Therefore:

1/7×2/3=2/21

Solution by Formulas

Apply the fractions formula for multiplication, to

1/7×2/3

and solve

1×2 and 7×3

=2/21

Answer:

1/7 × 2/3 is 2/21

becuase, if you times the numerators, which are the top numbers; and then the denominators which are the bottom numbers; like if you multiply 1×2 you get 2 and 7×3 is 21.

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