What is the formula for the circumference of a circle in terms of r

Answer:

1) 6.28

2) 62.8

Step-by-step explanation:

Multiply pi by the diameter to get the circumfrence.

Answer:

6.28in and 62.8m

Step-by-step explanation:

C = d(3.14)

C = 2(3.14) = 6.28

C = 20(3.14) = 62.8

Answer:

If she worked 24 hours then she would get 216 cash in dollars.

Step-by-step explanation:

All you would have to do is multiply 9 by 24 and you would get 216 dollars. and i thin this is correct.

Answer:

The length of EF is 5.29

Step-by-step explanation:

If BC = 12 then;

FB = 12 × sin65 = 10.876

BA = FB/(sin50) = 10.876/(sin50) = 14.2

BD = AB (Sides of isosceles triangle) = 14.2

∴ DF = BD + FB = 10.876 + 14.2 = 25.07

∠F C D = tan⁻¹(D F/F C) =  tan⁻¹(25.07/(12×cos65)) = 78.6

∠F A D = tan⁻¹(D F/A F) =  tan⁻¹(25.07/(14.2×cos50)) = 70

∴ ∠D = 180 - (78.6° + 70°) = 31.4°

AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4

∴ AE =  2×14.2×cos(20°) × sin31.4 = 13.92

EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815

Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)

Hence, we have;

EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)

That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°

EF² = 27.98

∴EF = √27.98 = 5.29.

Answer:

The length of EF is 5.29

Step-by-step explanation:

Answer:

Jonathans car can go 15 miles per gallon of gas

Step-by-step explanation:

Do 45 divided by 3

Answer:

15 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

45 miles / 3 gallons

15 miles per gallon

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.

Answer:

x = -2

Step-by-step explanation:

Answer:

Probability= 22/29

Step-by-step explanation:

Total no. of marbles= 29

No of red marbles=5

No of green marbles= 2

No of marbles which are neither red nor green= 29-(5+2)

                                                                              =29-7

                                                                              =22 marbles

Probability= 22/29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a bag containing 29 marbles, 5 of the marbles are red and 2 are green.

Then the favorable event is given as,

Favorable event = 29 - 2 - 5

Favorable event = 22

Then the probability is given as,

P = 22 / 29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

The volume is 1436.8[tex]in^2[/tex] .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

-Use the radius for the formula:

[tex]V = \frac{4}{3} \pi 7^3[/tex]

-Then, you solve:

[tex]V = \frac{4}{3} \pi 7^3[/tex]

[tex]V = \frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]7^3[/tex]

[tex]V = \frac{4}{3} \pi[/tex] × [tex]343[/tex]

[tex]V = \frac{1372}{3} \pi = 1436.755[/tex]

-Round the answer to the nearest tenth:

[tex]V = 1436.8[/tex]

So, therefore the volume is 1436.8[tex]in^2[/tex] .

Answer:

The volume is 1436.8 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

-Use the radius for the formula:

-Then, you solve:

×  ×

×

-Round the answer to the nearest tenth:

So, therefore the volume is 1436.8

M<2 is 110° and m<1 is 70° bc it’s supplementary angles so 180-110=70°

Step-by-step explanation:

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

[tex]7/2=3.5[/tex]

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

[tex]V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}[/tex]

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

Step-by-step explanation:

I think both are correct because Jessica says 30000 is 10 times of 3000 and she is right whereas Raul says 3000 is 1 / 10 of 30000 he is also right

Answer:

Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Step-by-step explanation:

From the length conversion table:

We know that:

1 meters = 100 centimetres

We are told that Nestor needs 750 centimeters of rope

Now; these ropes comes in the length of 4 ½ meters and 9 meters at the hardware store

To determine the  length of rope should Nestor buy? ; we will need to first convert the length of the ropes in meters to centimeters first;

so

4 ½ meters to centimeters = 4 ½ × 100 centimeters = 450 centimeters

9 meters to centimeters = 9 × 100 centimeters = 900 centimeters

And Nestor needs to purchase 750 centimeters of rope;

So if ;

4 ½ meters = 450 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 450 centimeters = 4 ½ meters × 750 centimeters

x meters = (4 ½ meters × 750 centimeters) / 450 centimeters

x = 7 ½ meters

Also;  if

9 meters  =  900 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 900 centimeters = 9 meters × 750 centimeters

x meters = (9 meters × 750 centimeters) / 900 centimeters

x = 7 ½ meters

Thus; Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Answer:

Nestor should buy the rope that is 9 meters long

Step-by-step explanation:

Nestor will need to buy a rope that is longer than 750 centimeters so that he can easily cut it to serve his need. If he buys a shorter rope, it will be a  lot more difficult to join to get the required length that he needs.

To know the length of his various options and determine the one that is best, we will convert all the ropes to the same unit (cm) and compare is with the required length.

Rope A:  4.5 meters

1 m = 100 cm

4. 5 cm = 4.5 X 100 = 450 cm

This is clearly shorter than is required

Rope B:  9 meters

1 m = 100 cm

9 m = 9 X 100 =  900 cm

This is clearly longer than is required, hence should be Nestor's choice

Answer:

by putting it in the calculator, the answer is the first option.

Answer:

0.414141...

Step-by-step explanation:

Use a calculator to divide 41 by 99. The answer is a non-terminating, repeating decimal.

41/99 = 0.414141...

Answer:

5 / 12

Step-by-step explanation:

The cotangent is adjacent ÷ opposite

Opposite = 12

Adjacent = 5

5 / 12

Answer:

Area of regular polygon: ( About ) 442.8 units^2; Option C

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are directly provided with the apothem, which makes it a whole lot easier than dividing the figure into triangles, drawing an altitude to one of the triangles, determining the tan degree of the triangle etc.

1. Given one of the sides to be 11 units, the perimeter of this hexagon would be 11 * 7, as it is implied that it is a regular polygon ⇒ Perimeter: 77 units

2. Now let us substitute the apothem and perimeter into this formula to determine the area of this regular polygon: 1/2 * 11.5 * 77 ⇒ 442.75

Area of regular polygon: ( About ) 442.8 units^2

Answer:

6.0

Step-by-step explanation:

Answer:

The value of x is 4

Step-by-step explanation:

Mathematically, we can calculate the area of the quilt by having the product of the side of the quilt by itself

Mathematically, the area of the quilt = L^2

This is (x + 2) * (x + 2)

This product is equal to 36 feet square

Thus;

(x + 2)^2 = 36

(x + 2)^2 = 6^2

Since the powers are equal, we equate the bases

x + 2 = 6

x = 6-2

x = 4

Answer:

(6x+4)^2=16; x=0

Step-by-step explanation:

Answer:

It's 16 and 0

Step-by-step explanation:

It's the 4th and 1st answer on Edge

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]

base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

Answer:

 2 • (x2 + 5x + 73)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant

Step-2 : Find two factors of  73  whose sum equals the coefficient of the middle term, which is   5

Pulling out like terms/factors

Trying to factor by splitting the middle term

Answer: 2 • (x2 + 5x + 73)

Hope this helps.

Answer:

2x^2 + 10x + 146

Step-by-step explanation:

x^2 + 121 + (x+5)^2

x^2 +121 + (x+5)(x+5)

x^2 + 121 + x^2 + 5x + 5x + 25

2x^2 + 10x + 146

Answer:

70

Step-by-step explanation:

Answer:

The answer is 70.

Step-by-step explanation:

In order to find the value of k(-5), you have to substitute the value of x into the function k :

[tex]k(x) = 6x + 100[/tex]

Let x = -5,

[tex]k ( - 5) = 6( - 5) + 100[/tex]

[tex]k( - 5) = - 30 + 100[/tex]

[tex]k( - 5) = 70[/tex]

The value of the trigonometry function sin θ in the triangle would be, 0.34.

Used the concept of trigonometry function,

sin x = Opposite / Base

Given that,

A triangle with angles is shown in the figure.

Since we know that,

sin x = Opposite / Base

Here, for the angle θ;

Opposite = 7.78

Base = 22.6

So, we get;

sin x = Opposite / Base

sin θ = 7.78 / 22.6

sin θ = 0.34

Thus, The value of the trigonometry function sin θ would be, 0.34.

To learn more about the triangle visit;

brainly.com/question/1058720

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Answer:

6

Step-by-step explanation:

Given:  (5,-9) is on the graph of f(x)

To find: corresponding point for the function [tex]\frac{-2}{3}[/tex] f(x)

Solution:

A graph refers to a pictorial representation that represents the relationship between two or more things in an organised manner. It consists of two axes x-axis and y-axis perpendicular to each other at the origin.

As  (5,-9) is on the graph of f(x),

[tex]f(5)=-9[/tex]

So, [tex]\frac{-2}{3}f(x)=\frac{-2(-9)}{3}=\frac{18}{3} =6[/tex]

Answer:

Around 34.14% of the cookies are between 11.32 and 11.35 grams.

Step-by-step explanation:

In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.

Your answer is A. (0,0)

The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, which is where the line cuts the y-axis.

In the line y = 4x, the ‘m’ would be 4 and the ‘+ b’ would be 0, which means that the line cuts the y-axis when y = 0.

There are only 2 answer options that have y = 0, A (0, 0) and D (4, 0). To find out which is correct, we can substitute in y = 0 into the equation y = 4x to see what the x-value would be:

y = 4x

0 = 4x

0 = x

Therefore the answer is A.

I hope this helps!

Think of y = 4x as y = 4x + 0.

If you don't have anything you're adding to

adding or subtracting to then it's 0.

Now our equation is in slope-intercept form.

We can write this as the ordered pair (0, 0).

Answer:

360°

Step-by-step explanation:

degrees are needed

Answer:

The base

Step-by-step explanation:

Just did it

Answer:

the base (b)

Step-by-step explanation:

edg. 2021