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Answer:

r = C/(2π)

Step-by-step explanation:

C = 2πr

Divide both sides by 2π

C/(2π) = r

r = C/(2π)

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the circumference C = 2πr, lets make radius r the subject of the formula.

C = 2πr

Divide both sides by 2π

C/2π = 2πr/2π

C/2π = r

r = C/2π

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r = start fraction C over 2 pi end fraction is the correct answer.

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Answer:

$21,600

Step-by-step explanation:

32400÷12=2700

2700×4=10,800

32400-10800=21600

Answer: $21,600

Step-by-step explanation: 32400÷12=2700

Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2   (after converting to the nearest tenth)

volume = 148 × 5.5 cube

= 24623.5 cubic cm

Answer:

(-5 , -3)

Step-by-step explanation:

use formula of 90 degree counterclockwise rotation about the origin

formula:

(x , y) = (-y , x)

(-3 , 5) = (-5 , -3)

The required coordinate of the point after 90° clockwise rotation is (-5, -3).

A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.

The given coordinate of the point is (-5, -3).

Counterclockwise rotation about the origin is given as,

(x , y) = (-y , x)

(-3, 5) = (-5 , -3)

Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).

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Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

price of 3Step-by-step explanation:

Answer:

the answer of this question is = 6x + 18

Answer:

122 in²

Step-by-step explanation:

Applying,

S.A =  bh+ bl+bl+bl............. Equation 1

Where S.A = Surface area of the prism, b = base of the triangle, h = height of the triangle, l = lenghth of the prism

From the question,

Given: b = 4 in, h = 3.5 in, l = 9 in

Substitute these values into equation 1

S.A = 4×3.5+9×4+9×4+9×4

S.A = 14+108

S.A = 122 in²

Hence the surface area of the prism is 122 in²

Answer:

128 if it wants the whole thing than 192

Step-by-step explanation:

Answer:

+0.1

Step-by-step explanation:

when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]

Answer:

4

Step-by-step explanation:

when r = 10

3r = 10 + 5s

3(10) = 10 + 5s

30 = 10 + 5s

30 - 10 = 10 + 5s -10

20 = 5s

20/5 = 5s/5

4 = s

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]

similarly , for coloumbia earthquake:

[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]

divide equation (i) and (ii):

[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

Answer:

[tex]y=\sqrt{x-5}[/tex]

Step-by-step explanation:

Answer:

The answer is [tex]y=\sqrt{x-5}[/tex].

Step-by-step explanation:

To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].

Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,

To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].

To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].  

Answer:

48 degrees

Step-by-step explanation:

x+132 should be equal to 180, property of a parallelogram (and same side interior angles)

180-132=48

Answer:

x = 48

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180° , so

x + 132 = 180 ( subtract 132 from both sides )

x = 48

Divide capacity by sections:

5782 / 24 = 240.9167

The number of seats in each section is needs to be a whole number so there are 240 seats per section:

240 seats per section x 24 sections = 5,760 seats.

Priority seats is capacity - total section seats:

5782 - 5760 = 22

There are 22 priority seats

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

Answer:

[tex]y = \sqrt{ 900 - x\²[/tex]

Step-by-step explanation:

In the complete question, the area of  the roller coaster is:

[tex]x\² + y^2 = 900[/tex]

Required

Solve for y

We have:

[tex]x\² + y^2 = 900[/tex]

Subtract [tex]x\²[/tex] from both sides

[tex]y^2 = 900 - x\²[/tex]

Take positive roots of both sides

[tex]y = \sqrt{ 900 - x\²[/tex]

Answer:

15

Step-by-step explanation:

30/2=15

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

Answer:

x=2

Step-by-step explanation:

-13x-11=-37                             Original equation

-13x=-26                                 Add 11 to both sides

x=2                                         Divide both sides by -13