Heather wants to put some bricks around her campfire. If the radius of the campfire is 3 feet what is the circumference of the firepit?

Answer:

4

Step-by-step explanation:

Circumfrence is 2piR or piD, 20x3.14=62.8, 62.8/15.7=4

Answer:

4 flowers

Step-by-step explanation:

-Circumference of a circle formula: dπ (diameter times pi)

-So plug 3.14 for π and 20 for the diameter to solve it:

20(3.14)  which equals 62.8

-Do 62.8 divided by 15.7 to find how many flowers are around the edge (circumference):

62.8 ÷ 15.7, which equals 4

Answer: 4 flowers

Hope this helped! :)

Answer:

x = 15

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

Answer:

b = 0.4899

Step-by-step explanation:

Given;

2(2x-1)=5x²

4x - 2 = 5x²

5x² - 4x + 2 = 0

this is a quadratic equation with;

a = 5, b = -4 and c = 2

[tex]x = \frac{-b \ \ + /-\ \ \sqrt{b^2 - \ 4ac} }{2a} \\\\x = \frac{-(-4) \ \ + /-\ \ \sqrt{(-4)^2 - \ 4(5*2)} }{2(5)} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{16 - \ 40} }{10} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{-24} }{10}\\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (\sqrt{-1} ) }{10} \\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (i )}{10}\\\\ x = \frac{4 \ \ +/-\ \ (4.899) (i )}{10}\\\\ x = \frac{4 \ \ +\ \ (4.899) (i )}{10} \ \ or \ \ x = \frac{4 \ \ -\ \ (4.899) (i )}{10}\\\\[/tex]

in terms of a + bi, it will be simplified as;

[tex]x = \frac{4}{10} + \frac{(4.899) (i)}{10} \\\\x = 0.4 + 0.4899i[/tex]

Therefore, b = 0.4899

When the given expression is expressed in the simplest form of [tex]a+bi[/tex]  then the value of b is 0.4899.

Given-

The given expression in the problem is,

[tex]2(2x-1)=5x^2[/tex]

Simplify this,

[tex]4x-2=5x^2[/tex]

Arrange the above equation,

[tex]5x^2-4x+2=0[/tex]

Compare the above equation with general quadratic equation,

[tex]ax^2+bx+c=0[/tex]

we get,

[tex]a=5[/tex]

[tex]b=-4[/tex]

[tex]c=2[/tex]

Find the roots of the [tex]x[/tex] . The formula to find the roots of a quadratic equation can be given as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\times5\times2} }{2\times 5}[/tex]

[tex]x=\dfrac{4\pm\sqrt{16-40} }{10}[/tex]

[tex]x=\dfrac{4\pm\sqrt{-24} }{10}[/tex]

[tex]x=\dfrac{4\pm\sqrt{-24}\sqrt{-1} }{10}[/tex]

[tex]x=\dfrac{4\pm 4.899i} {10}[/tex]

Take positive sign we get,

[tex]x=\dfrac{4+ 4.899i} {10}[/tex]

Take negative sign we get,

[tex]x=\dfrac{4-4.899i} {10}[/tex]

Compare the simplified form of  [tex]a+bi[/tex] with the root of [tex]x[/tex]

[tex]x=0.4+ 0.4899i[/tex]

here,

[tex]b=0.4899[/tex]

Hence when the given expression is expressed in the simplest form of [tex]a+bi[/tex]  then the value of b is 0.4899.

For more about the quadratic equation follow the link below-

https://brainly.com/question/2263981

Answer:

180-135= 45 degrees

Step-by-step explanation:

Answer:

6x+15y

Step-by-step explanation:

Just distribute the 3 to the coefficients

6x+15y

Answer:

9 is the constant.

Step-by-step explanation:

2x+9+7x

=9x+9

where 9 is the constant because 9 is the number which is not multiplied to any variables.

Answer:

612 266.56 centimeters im pretty sure

Step-by-step explanation:

just times them all

lmk if this helps

: • 1:33)= 8 • x

7.998 = 8x

    1 = x

•59x + 32 = 1.39x

32 = .8x

40 = x

Answer:

20 tiles

Step-by-step explanation:

If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Explanation:

Let the number of tiles be

x

At the first shop: Cost = $0.59 × x + $14 = 0.59x + 14

At the second shop: Cost = $ 1.29 × x = 1.29x

If the cost is the same:

1.29x = 0.59x + 14 ←solve for x

1.29x − 0.59x = 14

0.7x = 14

x = 14/0.4

x = 20 tiles

So what you would do here is fill in one box for every given number. For example, 65 appears twice, so you would fill in two boxes on the line plot.

Fill in two boxes above 65

Fill in two boxes above 70

Fill in zero boxes above 75

Fill in four boxes above 80

Fill in one box above 85

Fill in zero boxes above 90

Fill in three boxes above 95

Fill in one box bove 100.

Answer:

sorry i dont have enough information

Step-by-step explanation:

Answer:

C: The data distribution is skewed to the right.

Step-by-step explanation:

Took the test on Edmentum and got it right.

Answer:

The area of the quadrilateral is 12 square feet. (B)

Step-by-step explanation:

To find the area of a triangle, we use the formula (L x W) / 2

The bottom triangles are both the same size, so we only need to find the area of one. The width of the triangle needs to be divided by two because we only need to know half of the big triangle on the bottom at the moment. So we have (3 x 2) / 2 = 3. We can then multiply that by two and the area of the bottom triangle is 6. To solve for the top, (3 x 4) / 2 = 6. We can then add together the top and the bottom to get B, 12 square feet.

Hope this helps!

Hedgehog68

Answer:

Step-by-step explanation:

Dimensions of the backyard is 14 m by 15 m

The length of the fence is the perimeter of the backyard.

One meter of the fence costs $6.63

Cost of the entire fence is:

Answer:

perimeter of backyard=2(15+14)=58m

it cost

1m=$6.63

58m=$6.63×58=$384.54

therefore it cost

$384.54 to put a wooden fence around Kelly's backyard.

The answer is 11. 220/20=11 110/10=11 55/5=11 and so on. I hope this helps:)

Answer:

11

Step-by-step explanation:

Since 20/220, and 10/110, 5/55, 1/11.

Answer: Bro You need to take the picture higher -_-

Step-by-step explanation:

2+4x4x4+5(6-3)x2 divided by 3 = 76

Answer:

__1___ - _8___

x + 4 x - 6

x^2 . x ^ + 4

1 - cos^2 (x)

Step-by-step explanation:

hope you the best on it good luck on it and have a good as day :)

Answer:

I think both are 75

Step-by-step explanation:

I know the bottom one is definitely 75.

For the top, if you substitute 75 for the y and 1 for the X, the only answer is 75. Please Mark Brainliest if correct.

Answer:

86 heartbeats per minute

Step-by-step explanation:

i assume that's your question?

the number of heartbeats per minute is 86.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes

Number of heart beats per minute = Total number of heart beats ÷ Number of minutes

= 473÷ 11/2

= 473×2/11

= 43×2

= 86 beats per minute

Therefore, the number of heartbeats per minute is 86.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

a

Step-by-step explanation:

as x would be numbers going up for example y=2(1)+8. 2 times 1 is 2 plus 8 is 10 then u do 2. 2(2)+8 is 2 times 2 which is 4 plus 8 that is 12 and no other sequence is 10,12 so it is A

↝ In the graph, the slope is zero.

When the slope is positive. The line graph will head from third quadrant to first quadrant.

When slope is zero. The line graph will be like in the graph that's shown in this question's picture.

When slope is negative. The line graph will head from second quadrant to fourth quadrant.

The slope of the line shown in the given figure is 0 as the y is constant at every point on the line.

A slope of a straight line is the angle it makes with the x-axis. In a straight line of the form y = mx + c, the coefficient of x, m is the slope of the line and is given by the formula

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

The equation of the line is y = 1.

Let's take any two points from the graph on the line.

Let's take points (0, 1) and (1, 1), then the slope of the line is given as

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

   [tex]= \dfrac{1 -1}{1-0} \\=\dfrac{0}{1}\\ =0[/tex]

Thus, the slope of the given line is 0.

Learn more about Slope here:

https://brainly.com/question/3605446

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Answer:

nb

Step-by-step explanation:

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Define

leg a = x

leg b = 6

hypotenuse c = 13

Step 2: Solve for x

Answer:

Excuse me? Sir?/

Step-by-step explanation:

Where were u these days

Answer:

Anime is the only family I'm ever gonna have T^T

Step-by-step explanation:

Answer:

[tex]Probability = 0.504[/tex]

Step-by-step explanation:

Given

[tex]ID: 4\ digit\ number[/tex]

Required

Determine the probability that no two digit is repeated

First, we need to determine the total possible number of pins (with repetition)

Each of the 4 ID digit can be selected from any of the 10 digits (0 - 9).

i.e.

[tex]First = 10[/tex]

[tex]Second = 10[/tex]

[tex]Third = 10[/tex]

[tex]Fourth = 10[/tex]

[tex]Total = 10 * 10 * 10 * 10[/tex]

[tex]Total = 10000[/tex]

i.e.

[tex]n(Repetition) = 10000[/tex]

Next, we determine the total possible number of pins (without repetition)

Once a digit is selected from any of the 10 digits (0 - 9), it can no longer be repeated.

i.e.

[tex]First = 10[/tex]

[tex]Second = 10 - 1 = 9[/tex]

[tex]Third = 10 - 1 - 1= 8[/tex]

[tex]Fourth = 10 - 1 - 1 - 1 = 7[/tex]

[tex]Total = 10 * 9 * 8 * 7[/tex]

[tex]Total = 5040[/tex]

i.e.

[tex]n(No\ Repetition) = 5040[/tex]

The probability is then calculated as:

[tex]Probability = \frac{n(No\ Repetition)}{n(Repetition)}[/tex]

[tex]Probability = \frac{5040}{10000}[/tex]

[tex]Probability = 0.504[/tex]

Answer:

Step-by-step explanation:

The answer is 30  times to fill the container to grind beans.

Answer:

11 times

Step-by-step explanation:

27.5 divided by 2.5 is 11

Answer:

a = 1 and b = -7

Step-by-step explanation:

Given the expression

(3 + i)(1+2i)

On factorizing we have;

(3 + i)(1+2i)

= 3(1)+3(2i)+1(i)+i(2i)

= 3 + 6i + i + 2i²

= 3 + 7i + 2i²

Since i² = -1

The expression becomes;

= 3 + 7i + 2(-1)

= 3 + 7i -2

= 1 - 7i

On comparing with a + bi

a = 1 and b = -7

Answer:

1. move the constant to the right hand side to change its sign.

2.add the numbers.

3. using the absolute value definition rewrite the absolute value equation as two separate equations.

4.slove the equation for X

Step-by-step explanation:

it has two solutions

x=8

x= -9

the answer should be X1= 9, x2 =8

Answer: X=6

Step-by-step explanation:    Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6-9*x-(7*x-10*x-30)=0  

Pulling out like terms

1.1     Pull out like factors :

  36 - 6x  =   -6 • (x - 6)  

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

Answer:

(-3,-2), (-3,-5), (-4,-5), (-7,-2)

Step-by-step explanation: