How will the solution of the system y>2x+2/3 and y<2x1/3 change if the inequality sign on both inequalities is reversed

Answer:

[tex]\displaystyle \theta=0.413\ rad[/tex]

L= 9.086 feet

Step-by-step explanation:

Area of a Circular Sector

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

[tex]\displaystyle A=\frac{1}{2}r^2\theta[/tex]

And the length of the arc is:

[tex]L=\theta r[/tex]

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

[tex]\displaystyle 100=\frac{1}{2}r^2\theta[/tex]

Solving for θ:

[tex]\displaystyle \theta=\frac{200}{r^2}[/tex]

[tex]\displaystyle \theta=\frac{200}{22^2}[/tex]

[tex]\displaystyle \theta=0.413\ rad[/tex]

The arc length is:

[tex]L=0.413* 22[/tex]

L= 9.086 feet

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Answer:

the answer is 30x+33

Answer:

5

Step-by-step explanation:

Answer:

ydyeheuuru u ieuegeoeororpe

Answer:

x = 55

Step-by-step explanation:

Using the cofunction identity

sin35 = cos(90 - 35) = cos55

Answer: One number is 32, the other is 28

Step-by-step explanation:

Let's solve this problem with a system of equations

Let the x be one number, y be the other number

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

x+y=60

x-y=4

2x=64

x=32

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

Substitute x value into one of the equations

x-y=4

32-y=4

y=28

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4 minutes

Step-by-step explanation:

Answer: 3rd option

Step-by-step explanation:

Answer:78.5

Step-by-step explanation:

The total surface area of the rectangular prism shown is 78.5 feet².

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The surface area of a rectangular prism can be calculated as,

Surface area = 2 (lw + wh + lh)

Here l is the length, w is the width and h is the height of the rectangle.

From the figure,

l = 4.5 feet

w = 4 feet

h = 2.5 feet

Surface area = 2 [ (4.5 × 4) + (4 × 2.5) + (4.5 × 2.5)]

                     = 2 [18 + 10 + 11.25]

                     = 2 × 39.25

                     = 78.5 feet²

Hence the surface area is 78.5 feet².

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part 1: 8p + 3w = 40

part 2: $4 left

Answer:

3/9 i think

Step-by-step explanation:

Answer:

The breadth of rectangular carpet is 1.8 m.

Step-by-step explanation:

We have,

We know that,

= Area of rectangle = Length × Breadth

= 23.4 = 13 × Breadth

= 23.4/13 = Breadth

= 234/130 = Breadth

= 1.8 m = Breadth

Answer:

75% of 124 is 93

Step-by-step explanation:

  124 * 75%

= 124 * [tex]\frac{3}{4}[/tex]

= 31 * 3

= 93

Answer:

93

Step-by-step explanation:

75 / 100 x 124 = X

9300/ 100  = x

x = 93

Answer:

Girl what kind of MATH IS THISSSSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

It appears that the first column is 10(10) and 6(10)

the third column has 6(6) so perhaps top square is 6(10)=60

To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)

1. Find the equation of the boundary line.

2. Choose a point (x, y) on the shaded side on the line.

3. Plug x and y, in the boundary to identity the inequality sign.

Answer:

4925cm^2

Step-by-step explanation:

whole thing - small thing = shaded

small = 25 x 25 = 625

whole thing = a+b / 2 x h     =    111+111/2 x 50 = 5550

5550-625= 4925cm^2

Answer:

dotted

Step-by-step explanation:

when there is a line underneath the less than or equal to sign, it is solid, when there is not a line it is dotted.

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

Answer:

112

Step-by-step explanation:

so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer

Answer:

12

Step-by-step explanation:

12 x 10 = 120

Answer:

A. I got it from edge

Step-by-step explanation:

Also give the person above brainliest

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

[tex]C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m[/tex]

Answer:

7.78

Step-by-step explanation:

The answer is

[tex]8 \frac{2}{5} [/tex]

Answer:

1.50$

Step-by-step explanation:

difference in money amount: $6

difference in hours: 4

6 divided by 4 equals 1.50.

1.50 times 4 equals 6, hence its 1.50 per hour.

The rate of change in the Starbucks stock value is 150%.

Given that, At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41.

We need to find the rate the Starbucks stock value was changing is - per hour.

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Now, the difference in money=41-35=$6

The number of hours between 10 AM to 2 PM is 4 hours.

The rate of change = The difference in money/Number of hours × 100

=6/4 × 100

=150%

Therefore, the rate of change in the Starbucks stock value is 150%.

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Answer:

Step-by-step explanation:

Subtract C from both sides

R = P - C

Answer:

See explanations below

Step-by-step explanation:

Let the numbers be 2 and 2

Taking the sum using the plus(+) sign

2 + 2 = 4

Taking the product using the multiplication sign (×)

2×2 = 4

You can see that the answer to both expression are equal even by changing the sign from + to × that is;

2+2 = 2×2 = 4

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94