what is the diameter of a circle with 28.26 as the area

Answer:

x = 20

Step-by-step explanation:

Hello!

What we do to one side we have to do to the other

3x/4 - 5 = 10

Add 5 to both sides

3x/4 = 15

Multiply both sides by 4

3x = 60

Divide both sides by 3

x = 20

The answer is x = 20

Hope this helps!

Answer:

20

Step-by-step explanation:

3x/4 - 5 = 10

3x/4      = 10 + 5

3x/4      = 15

3x         = 15 * 4

3x         = 60

x           = 60/3

x           = 20

Answer:

Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches

Step-by-step explanation:

The  scale of the tree house plan is given as 1 in. to 2 ft,

Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions

Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;

[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]

[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]

Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.

Answer:

Step-by-step explanation

Answer: m= 44

Step-by-step explanation:

1/2m - 3/4n = 16    when n is 8  put it into the equation and solve for m.

1/2m - 3/4(8) = 16

1/2m - 6 = 16  

          +6  +6

1/2m = 22

m = 44

Answer:

44

Step-by-step explanation:

● (1/2 )× m - (3/4) × n = 16

Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)

● 0.5 × m - 0.75 × 8 = 16

● 0.5m - 6 = 16

Add 6 to both sides

● 0.5 m - 6 + 6 = 16+ 6

● 0.5 m = 22

Multiply both sides by 2

● 0.5m × 2 = 22 × 2

● m = 44

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

Answer:

Trade which takes place inside a country is known as internal trade. If trade takes place with other countries of the world, it is known as external trade.

Step-by-step explanation:

Answer:Internal refers to trade within the country itself while

External refers to trade with other countries whether foreign or bordering countries

Step-by-step explanation:

''Internal'' trade-Trade within the locals of the country itself

''External'' trade-refers to ;outside of the country...trade with other countries

Answer:

[tex]\Large \boxed{\mathrm{78 \ units^2 }}[/tex]

Step-by-step explanation:

The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.

Area of rectangle = base × height = 2 × 12 = 24 units²

Area of triangle = base × height × 1/2

The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.

12² + b² = 15²

b = 9

9 × 12 × 1/2 = 54 units²

Adding the areas.

54 units² + 24 units² = 78 units²

Answer:

its 78 units on khan academy :)))

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

Answer:

The first term is 1

Step-by-step explanation:

The forward term to term rule is "multiply by 3 and add 1"

The backward rule is therefore

"subtract 1, then divide by three"

Apply the backward rule twice to go from 3rd to first term:

(13-1)/3 = 4

(4-1)/3 = 1

The first term is 1

Answer:

a_1 = 1

Step-by-step explanation:

your sequence is a_n = a_(n-1) * 3 + 1

if your 3rd one is 13 then:

a_3 = a_2 * 3 + 1 = (a_1 * 3 + 1) *3 + 1

13 = 9_a1 + 3 + 1

9 = 9*a_1

a_1 = 1 :)

Answer:

x=42

Step-by-step explanation:

Answer:

answer is d

Step-by-step explanation:

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

Answer:

39.35 sec

Step-by-step explanation:

Given that:

The winning time is represented by the function:

T = 46.97 - 0.099x

Where x = year ; x = 0 corresponding to 1920

According to the formula, what was the winning time in 1997?

first find the value of x;

x = 1997 - 1920 = 77 years

Nowing plugging the value of x in the function :

T = 46.97 - 0.099(77)

T = 46.97 - 7.623

T = 39.347 seconds

T = 39.35 s

Answer:

86°

Step-by-step explanation:

b = 29× 2 = 58

d= [180-(86+29)]×2 = 130

a=c=x

a+b+c+d = 360

2x+188= 360

2x= 172

x= 86

a = c = 86°

Answer:

Step-by-step explanation:

A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045

Average rate of change = 0.045 cm

The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

Derivative in mathematics represent the rate of change of a function with respect to a variable.

Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.

From the question we can write -

Initial age = A[1] = 30

Initial diameter = D[1] = 11.9 cm

Final Age = A[2] = 110

Final diameter = D[2] = 15.5 cm

Average rate [r] = D[2] - D[1] / A[2] - A[1]

r =  D[2] - D[1] / A[2] - A[1]

r = 15.5 - 11.9/110 - 30

r = 3.6/80

r = 0.045

Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

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Answer:

64.5668 inches tall

Step-by-step explanation:

If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.

Answer:

The sum of the arithmetic progression is 2520

Step-by-step explanation:

The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

[tex]S_{n}=\dfrac{n}{2}\cdot \left (2\cdot a+\left (n-1 \right )\cdot d \right )[/tex]

Where;

n = The nth term of the progression

a = The first term = 100

d = The common difference = -2

Given that the last term = -10, we have;

-10 = 100 + (n - 1) ×(-2)

n = (-10 - 100)/(-2) + 1 = 56

Therefore, the sum of the 56 terms of the arithmetic progression is [tex]S_{56}=\dfrac{56}{2}\cdot \left (2\cdot 100+\left (56-1 \right )\cdot (-2) \right )[/tex]

Which gives;

[tex]S_{56}={28}\cdot \left (200-\left 110 \right ) = 2520[/tex]

Answer:

[tex]\huge\boxed{a = b-5}[/tex]

Step-by-step explanation:

Let the number be a

So, the given condition is:

a = b-5

Answer:

[tex]\Huge \boxed{a=b-5}[/tex]

Step-by-step explanation:

Let the number be [tex]a[/tex].

[tex]a[/tex] is equal to 5 less than [tex]b[/tex].

5 is subtracted from [tex]b[/tex].

Step-by-step explanation:

If r and h are the radius and height of the cylinder, then its surface area A is given by :

[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)

We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :

[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]

Dividing both sides by [tex]2\pi r[/tex]. So,

[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]

Hence, this is the required solution.

Applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

The image that shows ΔABC is attached below.

Since AB = BC, therefore, ΔABC is an isosceles triangle.

This implies that, the base angles will be equal.

Thus:

If m∠ABC = 90°, therefore,

m∠CAB = ½(180 - 90)

m∠CAB = 45°.

DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.

Based on the midsegment theorem, we have the following equation:

DE = ½(9)

DE = 4.5 units.

Therefore, applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

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Answer:

4.5
45

Step-by-step explanation:

Answer:

40-b

Step-by-step explanation:

x is the unknown number

x+b = 40

We want to find x

Subtract b from each side

x+b-b = 40 -b

x = 40-b

The unknown number is 40-b

Answer:

[tex]\huge \boxed{40-b}[/tex]

Step-by-step explanation:

[tex]\sf Let \ x \ be \ that \ number.[/tex]

[tex]x+b=40[/tex]

[tex]\sf Solve \ for \ x.[/tex]

[tex]\sf Subtract \ b \ from \ both \ sides.[/tex]

[tex]x+b-b=40-b[/tex]

[tex]\sf Simplify \ the \ equation.[/tex]

[tex]x=40-b[/tex]

Answer:

y-y1=m(x-x1)

or,y-2=1/4(x+4)

or,4y-8=x+4

or,x-4y+12=0 is the required equation.

Step-by-step explanation:

If it helps you, plz mark it as brainliest

Answer:

option 2.

Step-by-step explanation:

You use the y-intercept form: y=mx+b

mx=slope, and b=y-intercept.

Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.

So now, we can see the only option having the slop -2/3x is option 2.

Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

Answer:

x = 58

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended by the same arc, thus

x + 62 = 2(x + 2)

x + 62 = 2x + 4 ( subtract x from both sides )

62 = x + 4 ( subtract 4 from both sides )

58 = x

Answer:

slope = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

Step-by-step explanation:

Slope of a line is given by

where

m is the slope and

( x1 , y1) and (x2 , y2) are the points of the line

Slope of the line between the points

(0,0) and (4,5) is

Hope this helps you

Answer:

She finally sold 570 oranges

Profit %= 58.33%

Step-by-step explanation:

Quantity bought=600

Price=5 for GH¢3.00

Total cost price=600/5 * GH¢3.00

=120*GH¢3.00

=GH¢360.00

5% of 600 oranges got rotten

=5/100*600

=30 Oranges were rotten

I) How any oranges did she finally sell?

She finally sold

Sold oranges= Total oranges - Rotten oranges

=600-30

=570 oranges

Selling price=GH¢1.00 * 570 oranges

=GH¢570.00

ii) Find her loss or profit percent

Profit or loss percent= Selling price - cost price / cost price * 100

% profit or loss=S.P - C.P / C.P * 100

=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100

=GH¢210.00/GH¢360.00 *100

=0.5833 * 100

=58.33% profit

Answer:

[tex]\huge \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

Length of arc formula = θ/360 × 2[tex]\pi[/tex]r

The angle is 210 degrees.

The radius is 7 ft.

210/360 × 2[tex]\pi[/tex](7)

Simplify the expression.

210/360 × 14[tex]\pi[/tex]

2940/360[tex]\pi[/tex]

49/6[tex]\pi[/tex]

The length of the arc of circle having radius 7 feet is 49π/6 which is option C.

An arc is a part of circumference of a circle which is formed from two radius of the circle. The length of arc is equal to Θr in which r is radius and Θ is angle in radian form.

We have been given the radius of the circle be 7 feet and angle be 210°.

The length of arc will be Θr in which r is the radius and Θ is the angle in radian form.

First we have to convert angle in radian form=210*π/180=7π/6.

Length of arc=7π/6*7

=49π/6

Hence the length of the arc of circle having radius 7 feet is 49π/6 which is option C.

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