A garden is shaped in the form of a regular heptagon (seven sided), MNSRQPO. A circle with centre T and radius 25m circumscribes the heptagon as shown in the diagram below. The area of triangle MSQ is left for a children’s playground, and the rest of the garden is planted with flowers. Find the area of the garden planted with flowers.

x ^ 2–2x + 1

by splitting this equation

x ^ 2 - x -x + 1

there are a two terms x ^ 2 - x and - x + 1

we take x is common from first and -1 is common from second

x ( x - 1 ) and -1 ( x-1 )

the quadratic roots are (x-1) and (x-1)

x - 1 = 0

x = 1 in both

Therefore , the quadratic roots are 1 , 1 .

Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.

6 squared plus 8 squared is 100, which is 10 squared.

The answer is 10.

Answer:

C. 10

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

a² can be found by multiplying 6 by 6, which is 36

b² can be found by multiplying 8 by 8, which is 64

36 + 64 = 100.

The square root of 100 is 10, you can double-check this because 10 x 10 = 100

Because of this, we know that the line segment BC is equal to 10

I hope this helps :)

Answer:

D. 20°      Can I get brainliest please :)

Step-by-step explanation:

You can see their is a 90° angle, and angles across from each other are equal so them together is 180° and you know the whole thing is 360° so you can do

360°-180°=180°

then you have the x's we still know that angles opposite each other are the same so if we add all those angles together we get

x+x+2x+30°+2x+30°

simplify it

6x+60°

then we know what we have left is 180° so we do numbers to numbers

180°-60°=120°

now we have

6x=120°

simplify it

x=20°

The value of x is 20°. Option b is correct.

Value of angle x is to be determine.

it can be defined as the measure of one line tilt over other line.

Here, the sum of angle is 180°
x+90+2x+30=180
3x =180-120
3x =   60
 x = 20

Thus, the value of x is 20°.

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Answer:

Scalar is negative

Step-by-step explanation:

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

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Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

Answer:

34

Step-by-step explanation:

Answer:

The slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

∴ The slope is [tex]\frac{3}{2}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

Answer: 1/5

Step-by-step explanation:

10. 3

3. 2

Three divided by three is one

Ten divided by two is five

Answer:

5

Step-by-step explanation:

10/3 divided by 2/3

Using the rule of dividing fractions, you flip one side and multiple.

10/3 multiplied by 3/2

Think: Can you simplify from across?

10 and 2, 3 and 3 can simplify from across

5/1  multiplied by 1/1 = 5

If you have any questions I would be glad to help.

Answer:

.3 .029 .0157 3.9 2.023 4.0129

i hope that helps!

Answer:

true because you combine like terms

Answer:

True.

Step-by-step explanation:

The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:

7y + 8y = (7 + 8)y = 15y

~

Answer:

17

thats the answer

Answer:

12°

Step-by-step explanation:

Step 1:

7z + 6° = 90°        Def. of Right Angle

Step 2:

7z = 84°       Subtract 6° on both sides

Step 3:

z = 84° ÷ 7      Divide

Answer:

z = 12°

Hope This Helps :)

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

Answer:

$4 for 1 pound of rice

Step-by-step explanation:

8 ÷ 2 = 4

2 ÷ 2 = 1

Hope this helps!

Answer:

x=7

Step-by-step explanation:

2x+3(x-5)=20

2x+3x-15=20

5x-15=20

5x=35

x=7

Answer:

x = 5

Step-by-step explanation:

2x + 3(x - 5) = 20

simplify

5x - 5 = 20

get the variable and the number on different sides

5x - 5 + 5 = 5x

20 + 5 = 25

5x = 25

now divide each side by 5

5x / 5 = x

25 / 5 = 5

x = 5

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35

Step-by-step explanation:

It should be 3 inches, but I am not sure what the length is of each button if i should subtract it or not.. otherwise it should be 3!!