(06) A paper is in the form of a
square of side 20m. Semicircles are
drawn inside the square paper
on two sides as diameter. The
semicircle portions are cut off.
Find the area of remaining
paper. (use π = 3.14).
​

Given:

The system of equations is

[tex]3x-2y=7[/tex]

[tex]6x-4y=14[/tex]

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get

[tex]a_1=3,b_1=-2,c_1=-7[/tex]

[tex]a_2=6,b_2=-4,c_2=-14[/tex]

Here,

[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.

Hence, the correct option is b.

Answer:

11/8

Step-by-step explanation:

Simplify 11/4 = 2 3/4

half of 2 = 1

half of 3/4 = 3/8

1 3/8 changed to an inproper fraction = 11/8

Answer:

A2: 55

A1: 99-55+x:180

X:26

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

Explanation:

Let n be the degree of the numerator

Let d be the degree of the denominator

If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.

In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.

----------------------

Side notes:

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

Answer:

C. C Yes, the sides are congruent.

Answer:

y-intercept:  ( 0 , − 3 )

x-intercept:  ( 3 7 , 0 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 49 = 7x - 23

4x = 72

x = 18

11y - 1 = 3(18)

11y = 55

y = 5

The value of x is 18 and y is 5.

Following are the properties of parallel lines,

Given:

<1 = 7y -23

<2 = 11y -1

<3 = 3x

Using corresponding angle

7x - 23 = 3x + 49

4x = 72

x = 18

again, Using corresponding angle

3x = 11y - 1

3(18) = 11y - 1

11y = 55

y= 5

Hence, the value of x is 18 and y is 5.

Learn more about parallel lines here:

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Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])

Answer:

61

Step-by-step explanation:

nth=5n+1

.: 12th=5(12)+1 =60+1

=61

Answer:

the answer is [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)

hope this helps :)

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Answer:

m:number that is multiplied on x  b:the y-intercept

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

In the equation y = mx + b, m represents slope and b represents y intercept.

In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:

"m" represents the slope of the line. It determines the steepness or inclination of the line.

The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).

"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.

The y-intercept is the point where the line intersects the y-axis.

m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.

To learn more on slope intercept form click:

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Answer:

y-7= -1/5x

Step-by-step explanation:

general formula (y-y1)= m(x-x1)

m is the slope and in this case m=-1/5

(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y

substitute your given in the equation

(y-7) = -1/5(x-0)

y-7= -1/5x

Answer:

y = 4×-37

Step-by-step explanation:

y - 3 = 4(× - 10)

y - 3 = 4× - 40

+3. +3

y = 4x - 37

sorry if this wrong, but the equation setup is right

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]

[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Adults =193

children=52

Step-by-step explanation:

Step one:

let the number of tickets adults be x

and the number of tickets children be y

x+y=245--------1

6.5x+3y=1410.5---2

Step two:

solve the system of equation using substitution

x+y=245

x=245-y

put x=245-y in equation 2 we have

6.5(245-y)+3y=1410.5

1592.5-6.5y+3y=1410.5

-6y+3y=1410.5-1592.5

-3.5y=-182

y=182/3.5

y=52

put y=52 in x=245-y

x=245-52

x=193

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

Learn more about trigonometry equations here:

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Answer:

15/7 = 2.14 or 2 1/7

Hope This Helps!

Answer:

2 1/7

Step-by-step explanation:

15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper

Answer:

should be -4

Step-by-step explanation:

Answer:

128 ounces

Step-by-step explanation:

Answer:

128 ounces

Isaac weighed 8 lbs, or 128 ounces

Just multiply the mass value by 16, and you'll get 128.....

Hope this helps you

Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

Answer:

see the figure

Step-by-step explanation:

see the figure

Answer:

(2,-3)

Step-by-step explanation:

Desmos graphing calculator