What's the length of an arc with a central angle of 100° and a radius of 2 inches?

Answer:

Step-by-step explanation:

There is no solution as you have two variables and only one equation. The best you can do is solve for one variable as a function of the other.

[tex]7x^2+11y^2=40\\ \\ 11y^2=40-7x^2\\ \\ y^2=\frac{40-7x^2}{11}\\ \\ y=\sqrt{\frac{40-7x^2}{11}}[/tex]

Answer:Principal=$7,500,000

Step-by-step explanation:

Interest =(Principal X Rate X time ) / 100

Given

Interest =$9,000

rate = 3%

Time= 4 years

Principal=(Interest X 100) / rate X time

Principal,=(9000x 100)/3% x 4

Principal=$7,500,000

Answer:

d = 2873.5 feet

Step-by-step explanation:

Given that,

The distance around a meteor crater is 9,031 ft.

We need to find the diameter of the crater. The circumference of a circle is given by :

[tex]C=2\pi r[/tex]

Where

r is the radius of the circle

So,

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{9031}{2\times \dfrac{22}{7}}\\\\r=1436.75\ ft[/tex]

Since,

Diameter, d = 2r

[tex]d=2\times 1436.75\\\\d=2873.5\ ft[/tex]

So, the diameter of the crater is equal to 2873.5 feet.

qeta ssbeni rpnedjo e  

adwdaee  icsoch

Answer:

B

Step-by-step explanation:

Answer:

The average or mean of the two fights would be 19.5

Step-by-step explanation:

Basically all you have to do for this problem is add the total scores of the two fights and then divide by 2 to find your mean. 32 plus 7= 39/2= 19.5

Answer:

#1

#2

#3

#4

#5

Actual value = 72 in, expected value = 68 in

#6

#7

Michael

Nadia

Nadia had greater mean absolute deviation: 6 - 2 = 4 (seconds)

Answer:

(3,7)

Step-by-step explanation:

let me know if you need an explanation, but hope this helps :)

Answer:

$10.5

Step-by-step explanation:

525 pounds, with $0.02 each

You just multiply 525 by 0.02

Answer:

Only one solution

Step-by-step explanation:

d+6+2d=4d+9

3d + 6 = 4d + 9

3d - 4d = 9 - 6

-d = 3

d = - 3

Ann will pay in taxes on her purchase of $76, if Lexi paid a charge of  $17 in taxes when she bought these outfits for $200, is $6.46.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Lexi paid a charge of  $17 in taxes when I bought these outfits for $200,

Calculate the charge in one dollar = 17 / 200

Now, calculate the charge for $76 dollar = 17 / 200 × 76

The charge for $76 dollar = $6.46

To know more about division:

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Answer:

Yes. it is 509/56

Step-by-step explanation:

Answer:

Since we know the slope is the value multiplied by x , the slope is −1.

Step-by-step explanation:

We can rewrite this equation as:

y=1x+0

The slope-intercept form of a linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept value.

For this equation:

y=1x+0

Therefore:

The slope is m=1

The y-intercept is b=0 or (0,0)

I hope this helps      :)

Answer:

Perimeter of the board

Step-by-step explanation:

That measurement of "the border of her bulletin board" is actually the perimeter of the board.

The correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

[tex]V=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

where 'r' is the radius of the base of the cone and 'h' is height of the cone

For given example,

The volume of the cylinder is 84 pi inches cubed.

Let [tex]V_1[/tex] represents the volume of the cylinder.

[tex]V_1=84~~cu.in.[/tex]

Using the formula of the volume of the cylinder,

[tex]V_1=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

Let [tex]V_2[/tex] be the volume of the cone.

Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.

Using the formula of the volume of the cone,

[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]

This means, the volume of the cone is One-third the volume of the cylinder.

[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]

This means, the expression 84 pi over 3 finds the volume of the cone.

[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]

This means, the volume of the cone is less than the volume of the cylinder.

Therefore, the correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

Learn more about the volume of the cylinder and the volume of the cone here:

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-The order of rotational symmetry is 3

- Symmetry occurs after a rotation of 240

- The figure has 3 lines of reflections symmetry

explanation: right on ed

Answer:

A B and D

Step-by-step explanation:

you're welcome

brainliest

Answer:It connects with the line showed

Step-by-step explanation:

Answer: the y-intercept is (0,-1)

u get this by looking at the coordinate on the y axis and figure it out...

Step-by-step explanation:

Answer:

450 grams of plums per container

Step-by-step explanation:

Since you have to convert the 36 kilograms to grams, it will make it 36,000 grams.  You have to divide it into 80 boxes, so 36,000/80 is 450, so 450 it is.

What is 2?

the question is not clear

Answer:

740.48

Step-by-step explanation:

multipky

My bad

the answer is 16

I'm going to refrain from answering area problems from now on. Deepest Apologies

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

Answer:

sum of interior angles - 540

x = 112

Step-by-step explanation:

Hello There!

Geometry

The sum of the interior angles can be found using this formula

let x = sum of interior angles and n = number of sides

x = ( n - 2 ) * 180

there are 5 sides so we plug in 5 to n

5 - 2 = 3

3 * 180 = 540 so the sum of the interior angles is 540

Now to solve for x

Remember the sum of the interior angles is 540 so we use this equation to solve for x

Simple Algebra

540 = x + 118 + 105 + 75 + 130

step 1 combine like terms

118 + 105 + 75 + 130 = 428

now we have 540 = 428 + x

step 2 subtract 428 from each side

540 - 428 = 112

we're left with x = 112

Answer: 1380 g

Step-by-step explanation: volume of cube is 8 ·8 · 8 cm³ = 512 cm³.

Weight m = density × volume = 2.7 g/cm³ x 512 cm³= 1382.4 g

Answer:

15 sophomores and 25 freshmen

Step-by-step explanation:

15×2 is 30, five less is 25

15+25=40

Answer: Yes, when they each but 4 shirts they will both have a total of 129$

Step-by-step explanation: