EXERCISE 6.1
1. What will be the unit digit of the squares of the following numbers?
(i)81 -
(ii) 272 -
(iii) 799 -
(iv) 3853 -
(v) 1234 -
(vi) 26387-
(vii) 52698
(vii) 99880
(ix) 12796
(x) 55555-​

Answers

Answer 1
Unit digit of a square of a number is equal to the unit digit of square of unit digit of that number.
So,
(i)81
- Unit digit of square of 81
will be 1
.
(ii)272
- Unit digit of square of 272
will be 4
.
(iii)799
- Unit digit of square of 799
will be 1
.
(iv)3853
- Unit digit of square of 3853
will be 9
.
(v)1234
- Unit digit of square of 1234
will be 6
.
(vi)26387
- Unit digit of square of 26387
will be 9
.
(vii)52698
- Unit digit of square of 52698
will be 4
.
(viii)99880
- Unit digit of square of 99880
will be 0
.
(ix)12796
- Unit digit of square of 12796
will be 6
.
(x)55555
- Unit digit of square of 55555
will be 5

.

Related Questions

what is the surface area of a cylinder in 9in,7in, and 5in ?

Answers

50 I can’t even explain

the supplement of a 65° angle has a measure of​

Answers

Answer:

115 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:

[tex]x + 65 = 180\\x = 115[/tex]

Just need answer for both

Answers

..............................,..

Answer:

First one: 12 ft

Second one: 50ft^2

Step-by-step explanation:

Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter

Second one:

because both triangles are congruent like I stated above, both triangle are congruent.

But in this case we have to find the area of the whole rectangle.

What we do here is multiply 25 by 2

or

add 25+25

our answer is 50ft^2

On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event Miniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?

Answers

Answer:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

[tex]5G + 4S + 2B = 26[/tex] -- (1)

[tex]4G + 4S + 4B = 26[/tex] -- (2)

[tex]3G + 4S + 6B = 26[/tex] -- (3)

Divide both sides of (2) by 2

[tex]4G + 4S + 4B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

So, the system of equations are:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed

Answers

Answer:

sedimentary rock is formed

Step-by-step explanation:

Sedimentary rock is formed

determine if f (x) = - x^3 + 4x^2 +7x - 6

Answers

-x(x2-4x-7)+6=-x(x2-4)-7+6=-x(x+2)(x-2)-1=-x-1

Solve by elimination:
9x + 4y = 97
9x + 6y = 123
14
15'
B (5, 13)
(13,5)
D (1, 22)

Answers

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

please Help me i'm timed

Answers

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

I need help ASAP pleaseeeeee

Answers

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

Cos^4x csc^2x = csc^2 x sin^2 -2

Answers

Answer:

0

Step-by-step explanation:

i think im not sure the way this question is written doesn't make a lot of sense

The first triangle is dilated to form the second triangle.

Select True or False for each statement.

Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1

Answers

Answer:

Both true

Lelelelellele

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

Answers

The slope is 5/7

Step-by-step explanation:

When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7

sorry im bad at explaining

What’s the volume of this cube?

Answers

Answer:

Formula: V = a^3

a = 2in

Input: V = a^3 = 2^3 = 8

Step-by-step explanation:

[tex]\frac{1}{4} ^{0}[/tex]
how do I solve this equation?

Answers

Answer:

The solution is 1.

Step-by-step explanation:

Any number raised to the 0th power will always be 1.

The answer is one have a good day

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Answers

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

Find the slope when given (2,3) (3,5) plz

Answers

(y2-y1)/(x2-x1)
=(5-3)/(3-2)
=2/1
=2

so the slope is 2
hope this helps !
Answer:

The slope is 2.

Help me please :)....

Answers

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?

Answers

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.

Answers

Answer:

slope of given line is 4.

so slope of line perpendicular to it will be -1/4

A square has an area of 64 square units. If its sides were only half as long, what would its area be?​

Answers

Answer:

16

Step-by-step explanation:

the sides now are 8x8

1/2 of that is 4x4 and 4x4=16

A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?

Answers

$19. 19 x 0.8 = 15.2

A triangle has side lengths of (6a-3b)(6a−3b) centimeters, (5a+5c)(5a+5c) centimeters, and (8c-b)(8c−b) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Factoring

Geometry

Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃

L₁ is one sideL₂ is another sideL₃ is the 3rd side

Step-by-step explanation:

Step 1: Define

L₁ = (6a - 3b)(6a - 3b)

L₂ = (5a + 5c)(5a + 5c)

L₃ = (8c - b)(8c - b)

Step 2: Find Perimeter

Substitute in variables [Perimeter - Triangle]:                                              P = (6a - 3b)² + (5a + 5c)² + (8c - b)²Expand [FOIL]:                                                                                                P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)Combine like terms (a²):                                                                                 P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²Combine like terms (b²):                                                                                P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²Combine like terms (c²):                                                                                P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bcRearrange variables:                                                                                      P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bcFactor:                                                                                                             P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?​

Answers

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation:

Will mark brainliest for whoever answers

Answers

Answer:

i think g(x) is not the inverse function of f(x). HOPE THIS HELPS!

Step-by-step explanation:

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?

Answers

Antonio tiene 5 y Juan tiene 20

Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?

Answers

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

two cube numbers from 3,6,8,14,16,28,41,64​

Answers

Answer:

67

70

73

76

79

82

85

Answer:

The answer are 8 and 64

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt[3]{64} = 4[/tex]

Which pair of angles is congruent?

Answers

Answer:

Option 2

Step-by-step explanation:

Corresponding Angles Theorem

Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced

Answers

Answer:

1/ 20

Step-by-step explanation:

Given :

Cards = {1,2,3,4,5,6,7,8,9,10}

Even number = {2,4,6,8,10}

Probability (drawing an even number) :

Number of even / total. Number of cards

5 / 10 = 1/2

Card with number, 5 :

P(card numbered 5) = 1/10

Since they are independent events :

P(even number) * P(card numbered 5)

1/2 * 1/10 = 1/20

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