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

Find the slope of the line graphed. A)1/2 B)1 C)2 D)4

Answers

Answer:

Slope is 2. Y-intercept is -2

Step-by-step explanation:

To find slope look how many it goes up and right. So 2 up and 1 right will give a slope of 2. The y-intercept is -2 because it touches the y-axis.

Answer:

2

Step-by-step explanation:

To find this you would just look at two points that the line will cross. The 2 pairs or coordinates that are the most obvious to me are (0,-2) and (1,0) so then we would do an equation that is [tex]y_{2}[/tex] (which is the second y in this case 0) minus [tex]y_{1}[/tex](First y in this case -2) over or / [tex]x_{2}[/tex](second x in this case 1) minus [tex]x_{1}[/tex](first x in this case 0) so when we plug in into the equation is is [tex]\frac{0-(-2)}{1-0}[/tex] which will be simplified to [tex]\frac{2}{1}[/tex] so the slope would be 2.

Another simpler way to solve this is to is just to count the distance between the 2 slopes so we would go up 2 to get to 0 and over 1 which would be [tex]\frac{2}{1}[/tex] or 2.

At the age of 8, Roger received an inheritance of $5,000. His father invested the money in an account bearing 6% annual interest. How long will it take for this inheritance to double in value? Round your answer to 2 decimal places.

Answers

Answer:

16.66 years

Step-by-step explanation:

100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way

It will take 33.33 years to double his money.

We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.

We have to find out how long it would take for this inheritance to double in value.

What is the formula to calculate the Simple Interest on the given amount of principal money ?

The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -

[tex]SI =\frac{x \times r \times t}{100}[/tex]

In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]

Hence, the equation becomes -

[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]

t = 33.33 years

Hence, it will take 33.33 years to double his money.

To solve more questions on Simple Interest, visit the link below -

https://brainly.com/question/24116913

#SPJ2

1. A man decided to buy new furniture from Futuristie Purniture for $2600, Futuriste Vurniture
gave the man two choices pay the entire amount in one payment with cash, or pay $1000 as a dews
payment and 1120 per month for two full years in the finanong plan. If the man chooses the
financing plan, how much more would he payl

Answers

Answer:

Also, there seem to be many typos in this question, I am trying my best to decipher them all :) next time maybe double check the wording thx!

Step-by-step explanation:

the question doesn't make sense because if you were to pay $1120 per month, for 2 years, you would go over the amount that you bought. I also am not sure what a dews payment is. Try wording it differently/check you spelling.

Can anyone help with this thanks guys!

Answers

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

solve for x plz: |5x|=3

Answers

Answer:

x = 3/5 or x = -3/5

Step-by-step explanation:

| 5x | = 3

Solve for absolute value.

There are two possibilities.

First possibility:

5x = 3

x = 3/5

Second possibility:

5x = -3

x = -3/5

Answer:

x= 3by 5

or 3/5

i tried my best

stay at home stay safe

and

kepp rocking

Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degrees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth. A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see? 40° 80° 160° 320°

Answers

Answer:

The arc measure, x, that the satellite can see is 160°

Step-by-step explanation:

Given that the two tangents intersect at a point outside the with circle center O

The angle formed between between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

Answer:

160

Step-by-step explanation:

edge

Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

[tex]5 \frac{1}{3}[/tex] degrees per hour.

Step-by-step explanation:

If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.

[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]

[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]

[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].

So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex]  degrees per hour.

Hope this helped!

Answer:

5 1/3

Step-by-step explanation:

What is the difference between a Rate and a Ratio? Explain *

Answers

Answer:

Step-by-step explanation:

A ratio is a comparison of two numbers. A ratio can be written using a colon, 8:12 , or as a fraction 8/12 . A rate is a comparison of two quantities which can have different units. For example 8 miles per 4 hours is a rate.

A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly

Answers

Answer:

f(-2) = -6

Step-by-step explanation:

f(x) = 5x + 4

Let x=-2

f(-2) = 5*-2 +4

      = -10+4

      = -6

Answer:

[tex]\boxed{f(-2) = -6}[/tex]

Step-by-step explanation:

[tex]f(x) = 5x-4[/tex]

Put x = -2

[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]

Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.

Answers

Answer:

Step-by-step explanation:

[tex]s = \frac{1}{3}ft\\[/tex]

Volume of a cube  =  s³ ft³

Volume of 3 cubes = 3 * s³

                               [tex]= 3 * \frac{1}{3} * \frac{1}{3} *\frac{1}{3}\\\\= \frac{1}{3} *\frac{1}{3}\\\\=\frac{1}{3*3}\\\\=\frac{1}{9} ft^{3}[/tex]

What is the value of 5 to the power of 4 over 5 to the power of 6? 1 over 25 1 over 5 5 25

Answers

Answer:

1/25

Step-by-step explanation:

[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]

The answer to this question is 1/25

Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters

Answers

Answer: C. 35 square centimeters

Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.

Answer:

correct answer is 49

Step-by-step explanation:

i used the formula for surface area

SA=2B+LA(surface area=2*the base+ lateral area)

helppppp idk how to do that?​

Answers

Answer: a). 136 degree. b). A kite

Explanation:

360 = POR + OPT + ORT + 44

OPT = ORT = 90 (line TP and TR tangent to the circle)

360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136

B). OPTR is a kite because OP = OR and TP = TR

Definition of a kite:

A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.

Adam and three friends go on holiday together for a week.
The costs of the holiday will be shared equally between the 4 friends.
These are:
• £1460 for 4 return plane tickets
• £720 for the accommodation
• £180 for the car hire for a week
How much does Adam have to pay for his share of the costs?

Answers

Answer:

590

Step-by-step explanation:

1,460+720+180=2,360

2,360/4=590

HOPE THIS HELPS!!!! :)

it’s 590!!
If you add 1460,720,180, together and spilt it between the 4 friends each person has to pay 590.
In easier terms: 1460+720+180=2360/4

3) Y-3=4(n=2)
*to draw graph​​​​

Answers

Answer:

[see below]

Step-by-step explanation:

I am assuming that you mean: [tex]y-3=4(x-2)[/tex].

The equation is in point slope form...

[tex]y-y_1=m(x-x_1)[/tex]

The point used in the equation is (2, 3). 2 replaces 'x1' and 3 replaces 'y1'.

If you convert the equation in to slope intercept form:

[tex]y-3=4(x-2)\\\\y-3=4x-8\\\\y-3+3=4x-8+3\\\\\boxed{y=4x-5}[/tex]

You get -5 as the y-intercept.

So, the line you draw would pass through points (2,3) and (0,-5).

Hope this helps.

(08.01 MC)
A cone has a volume of 24 cubic inches. What is the volume of a cyinder that the cone fits exactly inside of? (1 point)
Select one:
b. 24 in
c. 48 in
d. 72 in

Answers

Answer:

d. 72 in³

Step-by-step explanation:

To find the volume of  a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:

From the question volume of the cone = 24 cubic inches

volume of a cone = [tex]\frac{1}{3}[/tex] πr²h

and volume of a cylinder = πr²h

This implies

volume of a cone = [tex]\frac{1}{3}[/tex] πr²h

                            = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

volume of a cone =  [tex]\frac{1}{3}[/tex] (volume of a cylinder)

24  =  [tex]\frac{1}{3}[/tex] (volume of a cylinder)

multiply both-side of the equation by 3

24×3 =   [tex]\frac{1}{3}[/tex] (volume of a cylinder)

72  =volume of a cylinder

Therefore volume of the cylinder that the cone fits exactly inside of is  72 cubic inches

what is 149 scaled down by a factor of 1/10

Answers

Answer:

14.9

Step-by-step explanation:

Given

149

Required

Scale factor of ⅒

The result of a scale factor is the product of an expression by its scale factor.

The result of 149 scale factor of 10 is the product of 149 by 10

In other words;

149 * ⅒

= (149 * 1)/10

= (149)/10

Remove bracket

= 149/10

= 14.9

Hence, 149 scaled down by a factor of ⅒ is 14.9

A bag has 7 red balls and 9 green balls. What is the probability that two balls picked randomly are both the same color?

Answers

Answer:

25%

Step-by-step explanation:

this isnt right

Answer:

25%

Step-by-step explanation:

1) x2 + 5x + 6
2) x2 + 9x + 20
3) x2 - x+6
4) x2 + 3x - 2
5) x2 – 36
6) 9x? - 25
7) x + x - 42
8) x2 + 7x-12

Please help, I’m struggling

Answers

Answer:

Step-by-step explanation:

x2+12w

1) (x-1) (x+6)
2) (x+4) (x+5)
3 & 4 it’s not factorable
5) (x+6) (x-6)
6) (3x+5) (3x-5)
7) 2 (x-21)
8) not factorable

please help with this too​

Answers

Answer:

Step-by-step explanation:

Garden roller is in the shape of cylinder.

So, one revolution =  Curved surface area of the cylinder

diameter  = 70 cm

radius = 70/2 = 35 cm

h = 100 cm

Curved surface area of the cylinder = 2πrh

                                                           = [tex]2*\frac{22}{7}*35*100[/tex]

                                                           = 22000 square cm

Area covered in 15 revolutions = 15 * 22000

                                                    = 330000 square cm

2) Coin

diameter = 22 mm

r = 22/2 = 11 mm

Volume of coin = 66 mm

πr²h = 66

[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]

Simplify the expression 5/9 + (-4/5)

Answers

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5) =

= 5/9 * 5/5 - 4/5 * 9/9

= 25/45 - 36/45

= -11/45

You must make the denominators equal to each other. (Remember anything you do to the top number you do to the bottom number!! (cross multiply))

- Multiply both 5 and 9 by 5 ( 5/9 turns into 25/45)
- Multiply both -4 and 5 by 9 ( -4/5 turns into -36/ 45)
- Solve as normal for your new problem 25/45 + (-36/45) = -11/45

Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?

Answers

Answer:

a. 4 %b. 0.125%

Step-by-step explanation:

Let the missing percent be 'x'

[tex] x \: \times \: \frac{1}{6} = \frac{2}{3} [/tex]

Use the commutative property to reorder the terms

[tex] \frac{1}{6} x = \frac{2}{3} [/tex]

Multiply both sides of the equation by 6

[tex] \frac{1}{6} x \times 6 = \frac{2}{3} \times 6[/tex]

Calculate

[tex]x = 4 \:[/tex] %

b. [tex]x \: \times 1 \frac{3}{5} = 0.2[/tex]

Convert the mixed number into improper fraction

[tex]x \times \frac{8}{5} = 0.2[/tex]

Use the commutative property to reorder the terms

[tex] \frac{8}{5} x = 0.2[/tex]

Multiply both sides of the equation by [tex] \frac{5}{8} [/tex]

[tex] \frac{8}{5} x \times \frac{5}{8} = 0.2 \times \frac{5}{8} [/tex]

Calculate

[tex]x = 0.125 \: [/tex] %

Hope this helps..

Best regards!!

Answer:

1)  2/3 is 400% of 1/6

2) 0.2 is 12.5% of 1 3/5

Step-by-step explanation:

1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)

2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%

hope this helps and gives a clear answer!

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

Inspired by election season, Evan decided to run for class president. He earned 80% of the votes in his class. If he earned 24 votes, how many students were in his class?

Answers

Answer:

16

Step-by-step explanation:

Just took test

Answer:30

Step-by-step explanation: Let s represent the number of students in the class. Evan earned 80% of these votes, which came to 24 votes. 0.80=24votes so total number of votes is 30.

0.8

(30 POINTS) Which graph best represents the function f(x) = (x − 1)(x + 3)(x − 3)?

Answers

Answer:

C

Step-by-step explanation:

f(x) = (x − 1)(x + 3)(x − 3)

This functions has 3 zeros as 1 ,-3, and 3

Lets evaluate the function at 0

f(0)  = (0 − 1)(0 + 3)(0 − 3) = -1 * 3 * -3 = 9

f(2)  = (2 − 1)(2 + 3)(2 − 3) = 1 * 5 * -1 = -5

Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?​

Answers

Answer:

1. 3 + 4x

2. 8/ x-y

3. X/2y

4. Four times a number m

5 let m represent months

30 + 12m

What is the mean absolute deviation of the data set {30,33,36,34,52}?

Answers

Answer:

6

Step-by-step explanation:

I took the test and got 100%

I hope i helped and that i get brainliest :P

Answer:

Step-by-step explanation:

1)To find the mean absolute deviation of the data, start by finding the mean of the data set.

2)Find the sum of the data values, and divide the sum by the number of data values.

3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4)Find the sum of the absolute values of the differences.

5)Divide the sum of the absolute values of the differences by the number of data values.

Algebra 1
a car can travel 78 miles on 13 gallons of gasoline. How much gasoline will it need to go 150 miles
a. 13
b. 78
c. 50
d. 25

Answers

Answer:

D

Step-by-step explanation:

First we need to find out how many miles we can travel using 1 gallon of gasoline. We can easily find that by dividing 78/13 which equals 6. Now we just need to multiply all of the given answers by 6. To be reasonable, since we already know 13*6=78, we should look at the next smallest number and go up from there.

The next smallest number given is 25. 25*6=150.

Hope this helps!! <3 :)

The answer would be D hope you got it right good luck

Solve for x in the diagram below.

Answers

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

The three angles are complementary to each other.

That means they add up to 90 degrees.

x + 2x + (x + 10) = 90

Combine like terms.

4x + 10 = 90

Subtract 10 on both sides.

4x = 80

Divide both sides by 4.

x = 20

What is the domain of the function?

o all real numbers x
o all positive real numbers x
o all negative real numbers x
o all real numbers x, except x=o

Answers

Answer:

The correct answer is all real numbers x, except x=o.

Step-by-step explanation:

To calculate the domain, we will "remove" from the equation those values that make it impossible to perform any mathematical operation.

In a rational function the denominator must be different from zero, since we need a set of values that do not cancel the denominator.

That is why the domain can include any real number, except 0. Remember that real numbers are any number that corresponds to a point on the real line and can be classified into natural, integers, rational and irrational numbers. In other words, any real number is between minus infinity and infinity and we can represent it on the real line.

Answer:

D. all real numbers x, except x=0

Step-by-step explanation:

edge 2020

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