Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+6 top x+ 2 side
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The area of the shaded segment is 100/3π square centimeter

What is a area?

Area is nothing but the surface bounded by the object in 2D.

What is a segment?

A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.

What is a segment area?

Area bounded by a segment. Area of segment has a formula (θ/360°)πr²

According to the question

θ=120°

radius =10cm

area of segment = (120°/360°)π(10²)

120°/360° =0.333

10²=100

0.333×π×100

33.3π or (100/3)π

Thus area of the shaded segment is 33.3π or (100/3)π square centimeters

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Answer:

50/50

Step-by-step explanation:

It's random

Answer:

f(g(3)) = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -2x + 7

g(x) = x² - 2

Step 2: Find f(g(3))

Step-by-step explanation:

just try out some values to get a clue

f(0)<= -|0+1|+1 = 0

okay, that value is true for all graphs

let's try another

f(1) <= -|1+1|+1 = -1

for x=1 the inequality only applies for a region less or equal to -1

B and D are clearly out. C covers just to much above

Only A remains as an option

note that |-5| is just 5. this notation is to say "how far away from 0. -5 is just 5 units away from zero.

in terms of calculating it, it makes everything inside it positive (distance from zero is never negative)

Answer:

A

Step-by-step explanation:

Answer:

1.043

Step-by-step explanation:

Decimal multiplier to increase by x% is computed as:-

100% + x%

The decimal multiplier to increase by 4.3% would be

100% +4.3% = 104.3%

To remove% we divide the number by 100, so the number will become

Hence, The decimal multiplier to increase by 4.3% = 1.043

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Hope this Helps

Answer:

z = 2.2

Step-by-step explanation:

[tex]-\frac{z}{0.5} + 1.4 = -3\\\\-\frac{z \times 10}{0.5 \times 10} + 1.4 = -3\\\\-2z + 1.4 = -3\\\\-2z = -3 - 1.4\\\\-2z = -4.4\\\\z = \frac{-4.4}{-2}\\\\z = 2.2[/tex]

Answer:

Step-by-step explanation:

(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).

Answer:

the required equqtion is x-y=2

Answer:

[tex]90m^2 and 144 m^2[/tex]

Step-by-step explanation:

Given :

Length of the rectangle (l)=15m

Width of the rectangle (w)= 6 m

Area of the rectangle can be calculated as :

[tex]A=l*w\\A=(15)(6)\\A=90 m^2[/tex]

Now,

Side of square (s)=12 m

Area of the square can be find:

[tex]A=s^2\\A=12^2\\A=144 m^2[/tex]

Answer:

[tex]Shaded = 212.5cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The shaded region

First, calculate the area of the complete rectangle

[tex]Area =Length * Width[/tex]

[tex]Area = 14cm * 25cm[/tex]

[tex]Area = 350cm^2[/tex]

Next, calculate the area of the triangle

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]

[tex]Area = 137.5cm^2[/tex]

Subtract the area to calculate the shaded region area

[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]

[tex]Shaded = 212.5cm^2[/tex]

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

Answer:

160 chips

Step-by-step explanation:

Given

[tex]n = 8[/tex] --- players

[tex]c = 60[/tex] --- chips per player

First, calculate the total chips

[tex]Total = n * c[/tex]

[tex]Total = 8 * 60[/tex]

[tex]Total = 480[/tex]

After 5 players are out; there are 3 players remaining in the game

So, the average number of chip with each of the remaining player is:

[tex]Average = \frac{Total}{n-5}[/tex]

[tex]Average = \frac{480}{8-5}[/tex]

[tex]Average = \frac{480}{3}[/tex]

[tex]Average = 160[/tex]

Answer:

10

Step-by-step explanation:

Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10

Answer:

10/35

Step-by-step explanation:

4*2.5=10

14*2.5=35

4/14=10/35

Answer:

216

Step-by-step explanation:

outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216

Answer:

option c is the correct answer

Answer:

c. 1/3

Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.

Answer:

y=-x-3/5

Step-by-step explanation:

y=mx+b

m is the slope

y=-x+b

b is the y intercept

y=-x-3/5

Answer:

4.605170185988091

Step-by-step explanation:

ln 100 = 4.605170185988091

e^4.605170185988091 = 100

Step-by-step explanation:

100=1 log 10(1)=0

I hope this is helpful for you

Answer:

The point of intersection is:

[tex]\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)[/tex]

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

[tex]y=0.5x+5[/tex]

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

[tex](x-0)^2+(y-5)^2=(3)^2[/tex]

Simplify:

[tex]x^2+(y-5)^2=9[/tex]

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

[tex]x^2+((0.5x+5)-5)^2=9[/tex]

Simplify:

[tex]x^2+(0.5x)^2=9[/tex]

Square:

[tex]x^2+0.25x^2=9[/tex]

Combine like terms:

[tex]\displaystyle 1.25x^2=\frac{5}{4}x^2=9[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}[/tex]

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

[tex]\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34[/tex]

So, the point of intersection in QI is:

[tex]\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)[/tex]

Answer:

A.

Null:

H0: u= 5.65

Alternative:

H1: u > 5.65

B.

The test statistic

Xbar = 6.24

u = 5.65

S = 1.24

N = 57

T = 6.24-5.65/(1.24/√57)

= 0.59/(1.24/7.5498)

= 0.59/0.1642

Test statistic = 3.593

C.

With alpha = 0.05

Df = n-1 = 57-1 = 56

T critical = 1.673

D.

If t test > 1.673 reject the null hypothesis

3.593>1.673, reject the null hypothesis

We conclude that there is enough evidence that the technique helped the participants to learn more.

Answer:

80%

Step-by-step explanation:

x : 100 = 64 : 80

x = (100 * 64)/80 = 80%

Answer:

80%

Step-by-step explanation:

Is means equals and of means multiply

64 = P * 80

Divide each side by 80

64/80 = P

.8 = P

Change to percent form by multiplying by 100

80% = P

Answer:

Step-by-step explanation:

sorry i don't know how to draw the diagram,then i can explain better.

9/x=x/27

x²=9×27=9×9×3

x=9√3

Answer:

Step-by-step explanation:

First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region

Area of Circle

Here, r=radius

area of circle= π×r²

                     = π × 5²     (radius=half of diameter)

                     = 25π

                     = 78.54cm²

Area of Triangle

Here, b=base, h=height

area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h

                          = [tex]\frac{1}{2}[/tex]×8×6

                          = 24cm²

Area of shaded region= area of circle - area of triangle

                                     = 78.54 - 24

                                     = 54.54

                                     ≈ 54.5cm² [Ans]

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