Find the product of each sum and difference.
(21+9)(21-9)

Answers

Answer 1

30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12


Related Questions

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

2 divided by one over 3 the awnser is a fraction

Answers

Answer:

1/6

Step-by-step explanation:

2/1÷  1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)

1/2÷  1/3 (Now we flip the numerator and denominator on a fraction)

1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)

1/6 (This is our answer!)

Hope this helped! Stay safe and have a good day or night!

A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.

Express the area of the entire rectangle.

Answers

7a^6 + 35 a^4 + 28a^2

What is the correct answer..

Answers

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3

Answers

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

Learn more about the volumes, click;

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Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?

Answers

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

2/10 1/9

1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube

Answers

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

A spec figure with two parallel and congruent bases can be c

Write a linear equation from a slope and a point

Answers

Slope=4/2 point=(1,2)
2=4/2(1)+b
b=0
y=2x

Find the interquartile range (IQR) of the data in the box plot below.

Asap ASAP Please PLZ

Answers

Answer:

3

Step-by-step explanation:

IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3

The interquartile range (IQR) of the data in the given box plot is: 3.

What is the Interquartile Range (IQR) of a Data?

In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.

Upper quartile = 7Lower quartile = 4

Interquartile range (IQR) = 7 - 4

Interquartile range (IQR) = 3

Learn more about Interquartile range (IQR) on:

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many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key

Answers

Answer:

so its either 13/20

Step-by-step explanation:

if you get this wrong sorry:(

The answer is 13/20

Explanation:
20 is the denominator because it is how many drinks there are in total. 13 is the numerator because that’s how many are Diet Pepsi’s and you cannot simplify this. That’s why the answer in 13/20.

P.S whenever you can simplify this you should :)

Find the length of arc KN.
can a genius help me??please​

Answers

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?

Answers

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³


A painter pays $15 per can of paint. How many cans of paint can she buy with $1052

Answers

Answer:

70 cans

Step-by-step explanation:

1052/15=70.1333333

but you have to round down to 70

ANSWER: 70

EXPLANATION:

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?

Answers

Answer:

66.08

Step-by-step explanation:

First find the markup

56 * 18%

56*.18 =10.08

Add this to the original price

56+10.08

66.08

This is the cost in the store

Answer:

$66.08

Step-by-step explanation:

18% of 56= 10.08

56+10.08=66.08

hope this helps :)

Which fraction is greater than 3/5

4/6

6/12

3/8

4/10

Answers

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

What number should both sides of the following equation be multiplied by to solve for x?

x/7.25 = 4

4
7.25
7
29

Answers

Answer:

[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]

Can someone helpppppppppp

Answers

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

An equilateral triangle has perimeter 57cm, what is the length of one of the sides?

Answers

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului. ​

Answers

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12

Answers

Answer:

Cover 2

Step-by-step explanation:

Answer:

Uhh x is like -4 bruh

Step-by-step explanation:

So b on edge ye

HELP ASAP FIRST CORRECT GETS BRAINLIEST

Answers

Answer:

Right

Step-by-step explanation:

Answer: the first one is x less than 468 and the second one is  and open circle at 468 and the third one is  go left

Step-by-step explanation:

it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

$80.48

Attached is the image of the entry way

Step-by-step explanation:

Given that each unit length represents 1 foot.

To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.

The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft

Area of a Trapezium = 1/2 × (a+b)h

a = 4ft, b= 7ft, h = 5ft

Substituting the values;

Area of trapezoid = 1/2 × (7 + 4)x 5

Area of trapezoid = 27.5 ft^2

Area of a parallelogram = length × height

Length = 4 ft, height = 4 ft

Substituting the values;

Area of parallelogram = 4 x 4

Area of parallelogram = 16 ft^2

Total area = area of trapezium + parallelogram

Total area = 27.5 + 16 = 43.5 ft^2

Cost per square foot = $ 1.85

Total cost = cost per square foot × area

Total cost = $1.85 per square foot × 43.5ft^2

Total Cost = $80.48

Answer:

Sal will pay $ 80.48  to tile his entryway.

Step-by-step explanation:

Separate the entryway into simpler shapes: a trapezoid and a parallelogram.

Find the area of the simpler figures. Count units to find the dimensions.

Trapezoid

A =   1/ 2

h(b₁ + b₂)

A =   1/ 2

(5)(4 + 7)

A =   1/ 2

(5)(11)

A = 27.5

The area of the trapezoid is 27.5 ft  

2 .

Parallelogram

A = bh

A = 4 · 4

A = 16

The area of the parallelogram is 16 ft  

2 .

Find the area of the entryway.

A = 27.5 + 16

A = 43.5

The area of the entryway is 43.5 ft  

2 .

Calculate how much Sal will pay to tile his entryway.

Area · Cost per foot =  Total Cost

43.5 · $1.95 =  $84.83

Sal will pay $84.83 to tile his entryway.

A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

What is the volume of the pyramid h=9.6 l=8.5 w=8.5

Answers

Answer:

V = 231.2

Step-by-step explanation:

v = (l * w * h )/3

Answer:

V ≈ 231.2

Step-by-step explanation:

Using the formula: V = 1/3 x L x W x H

Which tables display linear functions? Check all that apply.

Answers

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.

1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!

Answers

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

what are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?

Answers

You’ll need 30,000 honey bees

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

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