johnny wants to construct a circular area for his patio. he bought enough stones to cover 200.96m^2. If he wants to put an umbrella in the middle of the patio, how far away is the table going to be from the edge of the circular patio

Answer:

The answers are option B and E.

Answer:

b is the answer

Step-by-step explanation:

Answer:

108 degrees

Step-by-step explanation:

an arithmetic progression means that there is a constant inbetween all of the angles. Since the smallest angle is 12 degrees, ( i just guessed and checked) and came up with the angles :

12, 60, 108

these have a constant of 48

Answer:

108°

Step-by-step explanation:

Since the angles are in arithmetic progression , then the angles are

a + a + d + a + 2d

a is the first term and d the common difference

Sum the angles and equate to 180 with a = 12

a + a + d + a + 2d = 180

12 + 12 + d + 12 + 2d = 180 , that is

36 + 3d = 180 ( subtract 36 from both sides )

3d = 144 ( divide both sides by 3 )

d = 48

Then the largest angle is

a + 2d = 12 + 2(48) = 12 + 96 = 108°

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

Answer:

45/139 green or 20/139 yellow

Step-by-step explanation:

1. Add up total number of candles- thats your denominator

2. The total number of green or yellow candles is your numerator

3. Simplify your fractions if you have to

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4

A) With 8 council members, the polygon formed with the triangles will be an octagon.

The final shape should look just like the one you posted with your question.

B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 45°, 67.5° and 67.5°.

We need two sides of the triangles to be the same. The base of the triangle's length will depend on the number of triangles we are using to form the final polygon.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{8}=45^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 45° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-45°=135°

[tex]\frac{135^{o}}{2}=67.5^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

45°+45°+45°+45°+45°+45°+45°+45°=360°

D)

D.B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 36°, 72° and 72°.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{10}=36^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 36° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-36°=144°

[tex]\frac{144^{o}}{2}=72^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

36°+36°+36°+36°+36°+36°+36°+36°+36°+36°=360°

You can find further information on the following links:

https://brainly.ph/question/6658482

Answer:

12 miles/hour

Step-by-step explanation:

8am to 9pm = 13 hours

in that time we were driving 179-23 = 156 miles.

so, our speed was 156 miles / 13 hours.

now simplify it to our standard miles/hour format :

156/13 = 12

therefore, or standardized speed was

12 miles/hour

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

The reasonable estimate for the solution is (2.29, -4.87)

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

[tex]-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7} \\x=2.29[/tex]

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation about the system of equations can be found here https://brainly.com/question/19713330

The point of intersection of the linear equations is approximately [tex](x,y) = (2.286, -4.857)[/tex].

The most quickest approach that offers a reasonable solution consist in representing both linear functions graphically by means of a graphing tool (i.e. Desmos). As there is a system of two equation and two variables, the system can be represented by 2D-graphing tool.

The solution of this system is represented by the point, in which both lines intercepts each other. Let be the following two linear functions:

[tex]y = 3\cdot x + 2[/tex] (1)

[tex]y = \frac{1}{2}\cdot x - 6[/tex] (2)

The result from graphic tool is presented below and the point of intersection is approximately [tex](x,y) = (2.286, -4.857)[/tex].

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

Answer:

P (X= a) = 0, for any number a.

Step-by-step explanation:

In a continuous random variable, the probability of an exact value, that is, P(X = x), is always 0, thus, the correct answer is:

P (X= a) = 0, for any number a.

[tex]\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18[/tex]

༆ Option D is the correct answer༆

Answer:

k ≥ 4

Step-by-step explanation:

A Quadratic equation is given to us and we need to find out the value of k for which the equation has real roots. The given equation is ,

[tex]\rm\implies kx^2 +4x +1=0[/tex]

With respect to Standard form of Quadratic equation :-

[tex]\rm\implies ax^+bx+c=0[/tex]

For real roots ,

[tex]\rm\implies Discriminant = b^2-4ac\geq 0[/tex]

Substitute the respective values ,

[tex]\rm\implies b^2-4ac \geq 0\\[/tex]

[tex]\rm\implies 4^2 - 4(k)(1) \geq 0 \\[/tex]

Simplify the LHS ,

[tex]\rm\implies 16 - 4k \geq 0 \\[/tex]

Add 4k both sides ,

[tex]\rm\implies 4k\geq 16 [/tex]

Divide both sides by 4 ,

[tex]\rm\implies \boxed{\blue{\rm k \geq 4}}[/tex]

Answer:

[tex]\frac{\pi }{3}[/tex]

[tex]2 * \pi * 3 * \frac{20}{360}[/tex]

120[tex]\pi[/tex]/360 = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

Answer:

The right answer is:

(a) [tex]P(t) = P_o \ e^{0.03536t}[/tex]

(b) [tex]t = 14 \ years \ 6 \ months[/tex]

(c) [tex]P(t) = =621,595.6[/tex] ($)

Step-by-step explanation:

Given:

House price increment rate,

= 3.6% annually

(a)

Let the exponential equation will be:

⇒ [tex]P(t) = P_o e^{Kt}[/tex]

here,

t = 0

P = P₀

t = 1 yr

then,

[tex]P(1) = P_o +3.6 \ persent \ P_o[/tex]

        [tex]=1.036 \ P_o[/tex]

now,

⇒ [tex]1.036 P_o = P_o \ e^{K.1}[/tex]

 [tex]ln(1.036) = K[/tex]

            [tex]K = 0.03536[/tex]

Thus, the exponential equation will be "[tex]P(t) = P_o \ e^{0.03536t}[/tex]".

(b)

We know,

[tex]P_o = 600,000[/tex] ($)

[tex]P(t) = 10,00,000[/tex] ($)

∵ [tex]P(t) = P_o \ e^{0.03536t}[/tex]

   [tex]1000000=600000 \ e^{0.03536 t}[/tex]

              [tex]\frac{5}{3}= e^{0.03536 t}[/tex]

        [tex]ln(\frac{5}{3} )=0.03536 t[/tex]

       [tex]\frac{\frac{0.5}{0825} }{0.03536} =t[/tex]

                [tex]t = 14.45 \ years[/tex]

or,

                [tex]t = 14 \ years \ 6 \ months[/tex]

(c)

[tex]P_o=600,000[/tex] ($)

[tex]t = 1 year[/tex]

Now,

⇒ [tex]P(t) = P_o \ e^{0.03536 t}[/tex]

           [tex]=600000 \ e^{ 0.03536\times 1}[/tex]

           [tex]=621,595.6[/tex] ($)

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(6,1)

Step-by-step explanation:

Answer:

1 2/3 inches.

Step-by-step explanation:

Volume = area of the base * height so:

20 = 3*4 * h

h = 20/12

h = 1 2/3 inches.

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

Answer:

Gradient or slope at x=1 is -3

Step-by-step explanation:

[tex]y=x^2-5x+6\\\frac{dy}{dx} =2x-5\\at ~x=1\\\frac{dy}{dx} =2(1)-5=-3[/tex]