Find the diameter of the object.

diameter: __ ft

Answer:

When we have a point (x, y), the angle that defines this point in polar coordinates is given by:

Tan(θ) = y/x

In this case, we know that θ = 195°

Then replacing that, we get:

Tan(195°) = y/x

0.268 = y/x

Now, there is a problem, we have a single equation and two variables.

So we will get:

y = (0.268)*x

This equation defines all the possible values that x and y could take such the angle in standard position is 195°.

So we only can conclude that:

x and y have the same sign.

For a given value of x, the correspondent y-value is:

y =  (0.268)*x

Answer:

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine [tex]P(Invisibility | Female)[/tex]

This is calculated using the following formula for conditional probability:

[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]

From the attached table

[tex]n(Invisibility \& Female) = 32[/tex]

[tex]n(Female) = 48[/tex]

So, the equation becomes:

[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]

Simplify

[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Answer:5834.36 You're welcome

Answer:5834.36

Step-by-step explanation:

Answer:

Se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

En otras palabras, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones significa encontrar valores para las incógnitas que hace  verdadera cada una de las ecuaciones.

En este caso, las variables son:

Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares, se puede expresar el siguiente sistema de ecuaciones:

[tex]\left \{ {{x+y=227} \atop {15*x+5*y=2375}} \right.[/tex]

Se elige resolver por el método de sustitución, cuyo primer paso consiste escoger una ecuación y despejar una incógnita en  términos de la otra incógnita. En este caso, se despeja la variable "y" de la primer ecuación, obteniendo:

y=227 - x

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, luego despejar esa incógnita. En este caso, reemplazando la anterior expresión en la segunda ecuación del sistema de ecuaciones:

15*x + 5*(227 -x)= 2375

Resolviendo:

15*x + 5*227 - 5*x= 2375

15*x + 1135 - 5*x= 2375

15*x - 5*x= 2375 - 1135

10*x= 1240

x= 1240 ÷10

x= 124

Finalmente se sustituye el valor hallado en la expresión y=227 - x para despejar la incógnita restante:

y=227 - 124

y= 103

Entonces se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Answer:

five and three fourths

Step-by-step explanation:

eight ounces is 0.5 of a pound with is half of a pound

Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

*see diagram in the attachement below

Answer:

∠2 ≅ ∠6 because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠8 by the Vertical Angles Theorem.

Step-by-step explanation:

We are required to find the angle that is congruent to <2 and the angle that is congruent to <5.

Already, we are given the reasons to justify the answers we get.

Thus:

<2 has matching corner as <6. Hence they are corresponding angles

<5 and <8 are vertical angles having the same vertex and are directly opposite each other. Therefore, based on the vertical angles theorem, <5 ≅ <8

Answer:

16

Step-by-step explanation:

Simply plug 4 into g(x)

g(x) = x^2

g(4) = (4)^2 = 16

Answer:

2x−1

Step-by-step explanation:

Answer:

b)   (d

Step-by-step explanation:

no words

Answer:

you owe $5

Step-by-step explanation:

65% wins means $65

35% losses means -$70

Answer:

You owe 5 cents.

Step-by-step explanation:

(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value

65% of rolls are successful which means that  13/20 of the rolls are successful (simply convert to a fraction).

35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.

Using the equation above we can use,

(1)(13/20)+(-2)(7/20)

to find the expected value.

(1)(13/20)+(-2)(7/20)=0.05

Answer:

(2, -6)

Step-by-step explanation:

Draw a picture woth a point at (-6, -2)

the rotate it.

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

Answer:

141°

Step-by-step explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°

Answer:

x equals 141°

Step-by-step explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

Answer:

(a) $62.92 saved in 25 weeks

(b) 41 weeks to save $100

Step-by-step explanation:

Given

[tex]y = 2.92 + 2.4x[/tex]

[tex]x \to weeks[/tex]

[tex]y \to savings[/tex]

Solving (a): Savings in 25 weeks.

This means that: x = 25

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]y = 2.92 + 2.4 * 25[/tex]

[tex]y = 2.92 + 60[/tex]

[tex]y = 62.92[/tex]

Solving (b): Whole weeks to save $100

This means that x = 100

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]100 = 2.92 + 2.4x[/tex]

Collect like terms

[tex]2.4x = 100 - 2.92[/tex]

[tex]2.4x = 97.08[/tex]

Solve for x

[tex]x = 97.08/2.4[/tex]

[tex]x = 40.45[/tex]

Round up

[tex]x = 41[/tex]

Answer:

72

Step-by-step explanation:

By using the fundamental counting principle, we can do 4 x 3 x 6 = 72 to find how many different sandwiches can be made.

Answer:

136 = 2³ x 17.

Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.

Answer:

It's most likely spposed to be 22

Step-by-step explanation:

Answer: 91.65

Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6

Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.

Let me know if this was correct!

Answer:

m<YX=60° is a required answer

Answer:

m<YX=60° is a required answer

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

3(4) + 1 = 13

Answer:

13

Step-by-step explanation:

3n=3x4=12

12+1=13

Answer: y= [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation:

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

Answer: 5x+6y+1 is the answer

Step-by-step explanation: to combine like terms that have to have the same variable so you can add them so for example you have 3x+2x which is equal to 5x then 2y+4y which is = to 6y and you also have 1 that isn't adding to anything because the others have variables

Answer:

5x + 6y + 1

Step-by-step explanation:

You are also simplifing and collecting the like terms. 3x + 2x = 5x. So that goes first as it appears first in the equation. Secondly, 2y + 4y = 6y, and that adds on to the previous answer. So far we have 5x + 6y. Now just add te 1, as it has no like value.

Answer:

y = 3

Step-by-step explanation:

4 (1/2) + y = 10 (1/2)

2 + y = 5

-2 -2

y = 3