1. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. [π = 22/7 ]

Answers

Answer 1

Area of a circle = PI x r^2

Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.

Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.

There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.

Area of rectangle = l x w = 4 x 1 = 4 square cm.

Total area of cutouts = 127.28 + 4 = 131.28 square cm.

Area of sheet left, subtract area of cutouts fro area of sheet:

1018.29 - 131.28 = 887.01 square cm.

Round everything as needed.


Related Questions

PRE algebra !!! PLEASE HELP! Ruth plays on the school basketball team. The table shows the team's results and Ruth's results for each game. What is the experimental probability that Ruth will score 9 or more points in the next game? Express your answer as a fraction in simplest form. 1/7 7/6 6/7 7/1

Answers

Answer:

6/7

Step-by-step explanation:

Ruth has played 7 games.  She has scored 9 or more points in 6 of them.  That means she has a 6/7 probability of doing so again.

Answer:

6/7

Step-by-step explanation:

tina bought a notebook for $6.59 a backpack for 24.95 and a pen for $4.98

Answers

Answer: 36.52 dollars she spent

36.52 dollars was spent

In lowa, the Hoosiers basketball team won half of its first twelve games. There are a total of
24 games in the season. In order to make it to the playoffs, the Hoosiers need to win three
fourths of their remaining games. If the team is able to win exactly three fourths of their
games, how many total games will they have won at the end of their 24-game season before
the playoffs begin?

Answers

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18

4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have
to search a circular area based on how fast Mike walks. He has been missing for 12 hours and his estimated
speed is 4 km per hour. Determine the surface area of the circle to be searched.​

Answers

Answer:

Step-by-step explanation:

Distance traveled by Mike in 12 hours = 4 * 12 = 48 km

This will become the radius of the circle

r = 48 km

Area of the circle to be searched = πr²

                                                       = 3.14 * 48 * 48

                                                       = 7234.56 square km

Identify the sequence as arithmetic or geometric. 14, 11, 8, 5,

Answers

Answer:

sequence is arithmetic

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms.

An arithmetic sequence has a common difference d between consecutive terms, thus

11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric

11 - 14 = - 3

8 - 11 = - 3

5 - 8 = - 3

There is a common difference d between consecutive terms

Thus sequence is arithmetic.

Answer:

Step-by-step explanation:

This is an arithmetic sequence.

First term = a = 14

Second term = 11

Common difference = second term -  first term

                                 = 11 - 14

                                =  - 4

Each term is got by adding (-4) to the previous term

Third term = 11 + (-4) = 11 -4 = 8

......................................

Answers

Answer:

Towards the left

Step-by-step explanation:

? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,

Answers

What was the scenario and the equation from part A?

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ? WILL MARK BRAINLIesT

Answers

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between).  With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments.  This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases.  With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments.  This equals 15 bases.  Each of these can connect to a point on line b.  15x4=60

36+60=96

Answer:

10

Step-by-step explanation:

A circle has a circumference of 3.143.143, point, 14 units. What is the diameter of the circle?

Answers

Answer:

The diameter is 1.

Step-by-step explanation:

The circumference is 3.14 units

C = pi * d

Using 3.14 for pi

3.14 = 3.14 d

Divide each side by 3.14

3.14/3.14 = 3.14 d/ 3.14

1 =d

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles

Answers

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

is this right?? please help!

Answers

Answer:

  6 < x < 8

Step-by-step explanation:

The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.

  -47 > 1 -8x > -63 . . . . given

Multiply by -1:

  47 < -1 +8x < 63

Add 1:

  48 < 8x < 64

Divide by 8:

  6 < x < 8

______

* You can tell this is the case by looking at the ends of the given statement:

  -47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

Answers

Answer:  the fraction -2/25

Explanation:

Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.

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

m = (14 - 18)/(30 - (-20))

m = (14 - 18)/(30 + 20)

m = -4/50

m = -2/25

Answer:

[tex]-\frac{2}{25}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (–20, 18) and (30, 14).

[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]

The slope is -2/25.

Brainilest Appreciated.

solve for y: y÷1 7/9 = 3/4

Answers

Answer:

y = 4/3

Step-by-step explanation:

The required value of fraction y is 4/3.

Given that,

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.

What is simplification?

The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.

Simplification

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]                                                                          ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex]               (Transposition of 16/9 from the denominator to the right)
y  = 3 / 4 * 16 / 9
y = 4 / 3

Thus, the required value of fraction y is 4/3.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
c
+ N100 N
AN
Mark this and return
Save and Exit

Answers

Answer:

multiply by a factor of 7/8

Step-by-step explanation:

sphere A radius is 24 and Sphere B radius is 21

24x=21

x = 7/8

Answer:

multiply by a factor of 7/8

alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.​

Answers

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

Which points are solutions to the system of inequalities shown below? Check all that apply!​

Answers

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

Which of the following equations is of a parabola with a vertex at (0, 6)?
O y= (x - 6)2
O y= (x + 6)2
O y=x2-6
Oy= x2 + 6

Answers

Answer:

y= x^2 + 6

Step-by-step explanation:

y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2.  For y= x^2 +  6, h = 0 and k  = 6.  Thus the vertex is (0, 6)

The displacement vector r=2i-j+3k is aligned to the same direction as the force (F) whose magnitude is F =20N Determine the comple description of the force F

Answers

Answer:

Step-by-step explanation:

Displacement vector R = 2i + j +  3k

Unit vector along displacement vector

= R / I R I

= ( 2i + j +  3k )  / √ ( 2² + 1² + 3² )

= ( 2i + j +  3k )  / √ 14

Now force F acts in the direction of this unit vector . It is magnitude of 20 N

So this vector can be represented by the following expression

F = 20 [  ( 2i + j +  3k )  / √ 14 ]

[tex]F= \frac{20}{\sqrt{14} } \times ( 2i+j+3k)[/tex]

what is the line of symmetry for the parabola whose equation is y=-x^2-x+2

Answers

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

How many houses are on Prince Street?

Answers

Answer:

25 houses on prince street

Step-by-step explanation:

add them up and bam

Answer:

25 houses

Step-by-step explanation:

You need to add up all the houses and u will get the ans..

Have a good day !!

Hope this helps..

                       Pls mark my ans as branliest :)If u mark my ans as brainliest then u are the "bestestest " person in the world  :)

30 points high school geometry question.

Answers

Answer:

2.7

Step-by-step explanation:

2.5/5.8 = BD/6.2

BD = 2.7

Answer: 2.7

Step-by-step explanation: 2.5/5.8 = BD/6.2

BD = 2.7

Please help..........

Answers

See the attached picture:

This is the answer you need I hope it helped

Write them in a standard form.

Answers

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

What is (7 / 14) * (b - 6) when b is 7?

Answers

Answer:

1/2

Step-by-step explanation:

Well if b is 7 we plug it into the following equation,

(7 / 14) * (b - 6)

So if b is 7, we do 7-6 which is 1.

Then 7 / 14 which is 1/2.

So 1/2 * 1 is 1/2.

Answer:

1/2 or 0.5 (same thing)

Step-by-step explanation:

If you simplify 7/14, you get 1/2, or 0.5.

Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.

so A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x² - 14x - 4

Step-by-step explanation:

A =3x² + 4x + 1

B = 5x² - 3x + 8

C = 4x² - 7x - 3

B + C –A is

5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)

Expand and simplify

We have

5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1

Group like terms

5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1

We have the final answer as

6x² - 14x - 4

Hope this helps you

To the nearest degree, find the measure of

Answers

Answer:

the hypotenuse(b) is 50 if that helps

Step-by-step explanation:

a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)

30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38​

Answers

Answer:

3 + 6 = 1/2(#grapes)

3 + 6 = 9

9 = 1/2(#grapes)

2(9) = 1(#grapes)

18 = # of grapes

Step-by-step explanation:

I need the answer ASAP

Answers

Answer:

5

Step-by-step explanation:

When squaring the number 5 (i.e [tex]5^2[/tex] ) the answer is 25. [tex]5^{2}[/tex] is the same thing as 5 times 5. Basically with the square root, you are going backwards, so you are therefore finding the base of it all.

Answer:  5

We have a square that has area of 25 square units. The question is: what is the side length? That would be 5 since 5*5 = 25. You would use guess and check if you weren't familiar with square roots. A better option is to use the square root function on the calculator.

Note: the square root undoes the squaring operation

in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?​

Answers

Answer:

A.) 119

420 * 0.85 is 357 and 357 * 1/3 is 119

Hope this helps ^^

Answer:

119

Step-by-step explanation:

The total number of people who had taken the survey is 420 wich is equivalent to 100%.

The percentage of people who drink coffee is 85%.

●●●●●●●●●●●●●●●●●●●●●●●●

Let x be the number of people drinking coffee

● 420 => 100%

● x => 85%

These values are proportional so we can cross-multiply them

● x*100 = 420*85

● x = (420*85)÷100

● x = 357

The number of people who drink coffee is 357.

■■■■■■■■■■■■■■■■■■■■■■■■■

Let y be the number of people who drink black coffee.

y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.

● To get y multiply 1/3 by the total number of people drinking coffee (357)

●y = (1/3)*357

● y = 119

119 is the number of people who drink black coffee

what is the nth term of this sequence 7, 9, 11, 13

Answers

Answer:

The nth term of the sequence is

5 + 2n

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

A(n) = 5 + 2n

Hope this helps you

2n+5 I think this is a answer
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