1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.

Answers

Answer 1

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2


Related Questions

describe the y-intercept in terms of knots and rope length

Answers

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?

Answers

110 divided by 5 is 22
Rachel gets payed $22 per hour
So the answer is 12 she would need to work 12 hours.

Answer: she needs to work 8 hours

Step-by-step explanation:

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

Answer: 37

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

Can you pleease help ill mark as brainliest

Answers

Answer:

Step-by-step explanation:

to reflect an object in given line , measure the distance perpendicular to the line from each point and to the other side by line


Now let reflect

Here a picture

Hope this help you

One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!!

Answers

Let the total weight of the candy = x

We know the total weight is:

X = 3/20x + 1.2 + 3/5x+ 0.3

Simplify:

X= 3/20x + 1.2 + 12/20x + 0.3

X = 15/20x + 1.5

Subtract 15/20x from both sides:

5/20x = 1.5

Divide both sides by 5/20:

X = 1.5 / 5/20

X = 6

Total = 6 pounds.

Please help me fast!

Answers

Answer:

39.5

Step-by-step explanation:

Let's figure out the equations of l and m first.

For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.

We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:

m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3

The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.

For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:

m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7

The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.

Taking the two equations, let's set 15 equal to y and solve for x:

y = (-5/3)x + 5  ⇒  15 = (-5/3)x + 5  ⇒  10 = (-5/3)x  ⇒  x = -6

y = (-2/7)x + 2  ⇒  15 = (-2/7)x + 2  ⇒  13 = (-2/7)x  ⇒  x = -91/2

Let's find the difference:

-6 - (-91/2) = 39.5

The answer is thus 39.5.

~ an aesthetics lover

39.5 is the final answer

The function h is defined by h (x) = x^2 +5.
Find h (4a).
????

Answers

Answer:

16a^2+5

Step-by-step explanation:

The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?

Answers

Answer:

He can ride for 28 miles

Step-by-step explanation:

Total cost of the ride = $ 10

Tips = $ 2

Cost of ride excluding tips = 10 - 2 = $ 8

Taxi fare for first 500 miles = $ 2.40

Taxi fare excluding first 500 miles =  8 - 2.40 = $ 5.60

distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile

 = 5.60 ÷ 0.20

=28 miles

Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next

Answers

Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.

Step-by-step explanation:

Given: Number of machine parts in a batch = 8

weight of packaging for each part = 2  pounds

Let  x be the weight of each part ( in pounds).

Weight of each part with packaging = x+2

Then, Total weight of the parts and their packaging =  (Number of machine parts) x (Weight of each part with packaging )

= 8(x+2)

If each part weighs 6 pounds, then put x= 6

Total weight of the parts and their packaging =  8(6+2)

= 8 x 8 = 64 pounds

Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .

Here is what we know:

8 machine parts

each part = x pouunds

packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation

y=8x + 16

If each part equals 6 pounds the total shipment will be

y=8x+16

y=8(6) + 16

y= 48 + 16

y=64

*PLEASE ANSWER, NEED HELP* Find the surface area of the rectangular prism below.

Answers

Answer:

461.02

Step-by-step explanation:

2 × ( (12.3 × 4.3) + (12.3 × 10.7) + (4.3 × 10.7)) = 461.02 m^2

Answer:

461.02 M^2

Step-by-step explanation:

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

SA = 2lw+2lh+2hw

2LW = 105.78 M^2        (  52.89* 2 )

L= 12.3 M^2 , W = 4.3 M^2

LW = 52.89 M^2

2LH =  263.22       ( 131.61 * 2 )

L = 12.3 M^2 , H = 10.7 M^2

LH = 131.61 M^2

2HW = 92.02       ( 46.01 * 2 )

H = 10.7 M^2 , W = 4.3 M^2

HW = 46.01 M^2

SA = 2lw+2lh+2hw

SA = 105.78 M^2+ 263.22 M^2  + 92.02 M^2

SA = 461.02 M^2

Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

What is De Morgan's Law?

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or →

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

To solve more questions on De Morgan's Law, visit the link below-

https://brainly.com/question/13265106

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Convert 18 ft to yards

Answers

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

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]

What is the surface area of the rectangular pyramid below? 13,13,13

Answers

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain

Answers

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

What is Pythagoras Theorem?

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

https://brainly.com/question/17106915

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Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.

Answers

The two lines intersect at (4,8)

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.

Answers

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

solve for x -7x+1≥22 or -10x+41≥81

Answers

Answer:

The answer to the union of the two sets is: [tex]x\leq -3[/tex]

Step-by-step explanation:

Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.

First inequality:

[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]

so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)

Second inequality:

[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]

So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.

Then, when we do the union of these two sets, we get:

[tex]x\leq -3[/tex]

since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.

Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)

Answers

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

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

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

y - 1 = - 3( x + 1)

Hope this helps you

What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees

Answers

Answer: 106 degrees

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

Answers

Answer:

the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right.  The bottom portion of the U passes through the origin"

I took the test.  Good luck!

A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.

A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.

An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values ​​as soon as input values ​​are inserted.

Learn more in https://brainly.com/question/23505310

A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?

Answers

Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)

Answers

Answer:

not quite sure what this is asking for but the average speed is 7800/11

It did 7800/11 ¯\(º_o)/¯

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

Can someone answer a-c please!

Answers

Okay

Here an example for factoring the zero

A. X^2+x -20=0

(X+3) (x-4)=0

X+3=0 X-4=0

X=-3 Or x= 4


Here an an example for quadratic form


X-2=0

Formula for quadratic form is

Ax^2 +bx +c =0

Discriminant =b^2 -4ac


0^2 -4(1)(-2)=8

So 8 is not perfect square


Here we a solution

X= -b+-√b^2-4ac/2a

X= -0+_ √0^2-4(1)(-2)/2(1)


X=-0+_ √8/2

X= +_2 √2/2

Cancel 2

+_ √2



And last question which one you prefer so you can choice any


Hopefully this help you :)


Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55

Answers

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1

Answers

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

the answer is D. -1/4 because it would make 1=1 instead of greater than or equal to 1

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.

Answers

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

Read more on polynomial degree;

https://brainly.com/question/10937045

Please help me on this question

Answers

Answer:

x = [tex]\frac{k(a+r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )

a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )

k(a + r) = 7x ( divide both sides by 7 )

[tex]\frac{k(a+r)}{7}[/tex] = x

Answer:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Step-by-step explanation:

1. Multiply all three terms by k to eliminate the fraction:

ak = 7x - kr

2.  Subtract kr from both sides:

7x = ak - kr

3.  Divide both sides by 7:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Other Questions
Circle A has center of (4,6) and a radius of 5, and circle B has a center of (1,0) and a radius of 15. What steps will help show that circle A is similar to circle B? Dilate circle Dilate circle A by a scale factor of 3. translate Circle A using the rule (x - 3, y + 6). Rotate circle A 180 about the center. reflect circle A over the y-axis. State sales tax S S is directly proportional to retail price p p . An item that sells for 142 142 dollars has a sales tax of 12.32 12.32 dollars. Find a mathematical model that gives the amount of sales tax S S in terms of the retail price p p . Which explanation provides support for continental drift theory? O Dinosaurs lived on many continents. Coal fields match up across continents. Tropical plant fossils were found in warm areas. Similar rock types are found across continents. please help!!! Its not a super hard question i just want to make sure im right Consider the following estimated regression equation based on 10 observations y 29.1270 5906x, 4980x2 011 a. Develop a point estimate of the mean value of y when x 1 = 180 and x 2-310 (to 3 decimals). b. Develop a point estimate for an individual value of y when x 1 180 and x 2-310 (to 3 decimals) Which of the following is the best characterization of sociocultural forces? a firm's culture, norms, and values a competitor's culture, norms, and values a focus group's culture, norms, and values a society's culture, norms, and values A pair of linear equations is shown:y=-3x + 5y = x + 2Which of the following statements best explains the steps to solve the pair of equations graphically?O on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =1.O on a graph, find the point of intection of two lines; the first line has y-intercept = -3 and slope = 5, and the second line has y-intercept = 1 and slope =2.O On a graph, find the point of intersection of two lines; the first line has y-intercept = -5 and slope = 3, and the second line has y-intercept = -2 and slope =-1.O On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = -5, and the second line has y-intercept = -1 and slope =-2. ASAP!! can someone help solve these and include work Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 = 70 ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units What is 21 multiplied by 80 What states can electrons exist in? A. Electron clouds or energy levels B. Positive and negative C. Up and down spin D. In phase and out of phase Find the work done in pumping gasoline that weighs 6600 newtons per cubic meter. A cylindrical gasoline tank 3 meters in diameter and 6 meters long is carried on the back of a truck and is used to fuel tractors. The axis of the tank is horizontal. The opening on the tractor tank is 5 meters above the top of the tank in the truck. Find the work done in pumping the entire contents of the fuel tank into the tractor. complete the following sentence using the correct form of the tenses:1. I cannot remember well,but I am sure I (be)here for more than ten years.2.Sitara was only three montns old when her parents (relocate) to New York.3. By the time they decided to return to India, she (become) old enough to make her own decisions. Please help I really need to get it right An apple falls from a tree and hits your head with a force of 9J. The apple weighs 0.22kg. How far did the apple fall? Which of the following is an advantage of a partnership?A.ease of starting and ending the businessB. Shared management and pooled skills C. Unlimited liability D. Little time commitment What is the solution to the quadratic equation x2 + x - 30 = 0? Fill in the missing words or phrases.1. Por qu nosotros nocomemosen casa? (comer)2. Ralla mochila y busca su libro. (abrir)3. Yotodos los das. (correr)4. Mis abuelosmil dlares. (recibir)5. Dnde vivest? En Madrid? (vivir)6. Usteda bailar, seora? (aprender)7. Los niosmuy bien. (escribir) Which event is part of the exposition in "Cinderella"? The slipper fits Cinderellas foot. A fairy godmother appears to Cinderella. The prince and Cinderella get married. An invitation to the princes ball arrives. EDG2020? What connections do the changes and continuities for pastoralists have with the rise of Islam?