Select the correct answer. Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.
A. 40 feet B. 80 feet C. 117 feet D. 160 feet

Answer:

La distancia de C con respecto a A es de 197.788 metros.

Step-by-step explanation:

A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:

[tex]\frac{AB}{\sin C} = \frac{AC}{\sin B}[/tex] (1)

Si sabemos que [tex]B = 57^{\circ}[/tex], [tex]C = 58^{\circ}[/tex] y [tex]AB = 200\,m[/tex], entonces la longitud del segmento AC es:

[tex]AC = AB\cdot \left(\frac{\sin B}{\sin C} \right)[/tex]

[tex]AC = (200\,m)\cdot \left(\frac{\sin 57^{\circ}}{\sin 58^{\circ}} \right)[/tex]

[tex]AC = 197.788\,m[/tex]

La distancia de C con respecto a A es de 197.788 metros.

Answer: I think it is B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

jdiidjeojfomfjfjjdj

Answer:

$12.50

Step-by-step explanation:

$100-$25-$50=$25

$25 / 2 = $12.50

Answer:

$12.50

the answer is b the second one

Answer:

9x and -4x

This is the answer

Answer:

x y z are all equal to 60 because it on a line

Answer:

Step-by-step explanation:

40 + x + 80 = 180 degree (being linear pair)

120 + x = 180

x = 180 - 120

x = 60 degree

y + 120 = 180 degree (being linear pair)

y = 180 - 120

y = 60 degree

70 + 50 + z = 180 degree (being linear pair)

120 + z = 180

z = 180 - 120

z = 60 degree

x + y + z = 180 degree (being linear pair)

Note : A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

tom = 166, ben = 581

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

therefore 1 part = 83

83 x 2 = 166

83 x 7 = 581

tom has 2 parts so he has 166

ben has 7 parts so he has 581

Answer:

Tom has 166.

Ben has 581.

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

83 × 2 = 166

83 × 7 = 581

Answer:

x ≤ 3

Step-by-step explanation:

The vertical line at x = 3 is solid and shaded to the left

Therefor

x ≤ 3

Answer:

x≤3

Step-by-step explanation:

There is a solid line at x =3

The graph is shaded to the left and includes the solid line

x≤3

Answer:

3/20

Step-by-step explanation:

Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.

Hope this helps.

Answer:

D

Step-by-step explanation:

Given

x + 3 = - 2 ( subtract 3 from both sides )

x = - 5

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

Answer:

[tex]x = \frac{7}{4} [/tex]

Step-by-step explanation:

[tex]−8(4x−10)=24[/tex]

[tex] \frac{ - 8(4x - 10)}{ - 8} = \frac{24}{ - 8} [/tex]

[tex]4x - 10 = \frac{24}{ - 8} [/tex]

[tex]4x−10=−3[/tex]

[tex]4x=−3+10[/tex]

[tex]4x=7[/tex]

[tex]x = \frac{7}{4} [/tex]

Answer:

[tex]x= \frac{7}{4} [/tex]

Step-by-step explanation:

Let's solve:

[tex]−8(4x−10)=24[/tex]

Step 1: Simplify both sides of the equation.

[tex]−8(4x−10)=24 \\ (−8)(4x)+(−8)(−10)=24(Distribute) \\−32x+80=24[/tex]

Step 2: Subtract 80 from both sides.

[tex]−32x+80−80=24−80 \\ −32x=−56[/tex]

Step 3: Divide both sides by -32.

[tex] \frac{ - 32x}{ - 32} = \frac{ - 56}{ - 32}

\\

x= \frac{7}{4} [/tex]

Answer:

erm....

Step-by-step explanation:

you are gonna have to give us a little bit more of the background info here!

am I not smart or does this make no sense

Answer:

B

Step-by-step explanation:

3 x -9 which is -27. Then you have to add the exponents, so it will be x^4+2 = x^6 , y^3+2 = y^5, z^1+2 = z^3. so your answer will be -27 x^6 y^5 z^3

Answer:

[tex] - 27 {x}^{6} {y}^{5} {z}^{3} [/tex]

Answer:

5^18

Step-by-step explanation:

since its a power to a power, you multiply so -6 x -3 = 18 so Answer = 5^18

Answer:

There are 8 nickels and 14 pennies

Step-by-step explanation:

Represent the number of pennies by p and nickels by n.  Then:

p + n = 22, or n = 22 - p

Coin values:

($0.01/penny); ($0.05/nickel).  Therefore, the relation showing the amounts of money involved is:

($0.01/penny)p + ($0.05/nickel)n = $0.54.

But we found earlier that n = 22 - p.  Therefore, the previous equation becomes:

($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.

Multiply all three terms by 100 to eliminate the decimal fractions:

1p + 5(22 - p) = 54, or:

1p + 110 - 5p = 54, or:

-4p = -56

Thus, p = 14.  If p = 14, then n = 22 - 14 = 8.

There are 8 nickels and 14 pennies.

Check:  8($0.05) + 14($0.01) = $0.54 (correct)

are u taking a test Sir??

Answer:

45

Step-by-step explanation:

9(4x + 5)

9*4x + 9*5

36x + 45

Answer:

Step-by-step explanation:

9*4x +9*5

= 36x + 45

Bye

:-)

Answer:

can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.

Answer:

The answer is x=2-(y/2)

Step-by-step explanation:

Answer:

2 - y/2

Step-by-step explanation:

12x + 6y = 24

=> 12x = 24 - 6y

=> x = (24 - 6y)/12

=> x = 24/12 - 6y/12

=> x = 2 - y/2

Answer:

5

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

if I understand the question correctly, then the Hypotenuse c is here 7.

=>

7² = (2×sqrt(6))² + b²

49 = (4×6) + b²

49 = 24 + b²

25 = b²

b = 5

Answer:

3.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle y +60  = 180 degree (being adjacent angles of a trapezium )

angle y =180 - 60

angle y =120 degree

angle x+30 degree = 180 degree (being opposite angles of a trapezium)

angle x =180 - 30

angle x=150 degree

75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)

310 + y = 360

y = 360 - 310

y = 50 degree

Answer:

√26

Step-by-step explanation:

Screenshot of the solution: https : // snipboard. io / D53Cno . jpg (erase the spaces)

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

[tex]7 \leq \frac{a}{3}[/tex]

[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

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

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

Answer:

She will probably spend 200$ a month for 4 more months to get the bed payed off

Step-by-step explanation:

Answer:

342,1875

Step-by-step explanation:

Dado

Precio de compra del artículo = 219

Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75

Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875

Queremos saber a que precio debe fijarse un articulo para que cuando le hagamos un descuento del 25%, aun tengamos una ganancia del 25% del costo del articulo.  Veremos que el precio que cumple los requerimentos es $365.

Veamos como resolver el problema:

Sabemos que el costo del articulo es $219. Queremos vender este articulo a precio P.

Cuando vendamos este articulo con un descuento del 25%, queremos obtener una ganancia del 25%, entonces debemos resolver:

P*(1 - 0.25) = $219*(1 + 0.25)

P*0.75 = $219*1.25

P = ($219*1.25)/0.75 = $365

Así, podemos concluir que el precio que debe fijarse para cumplir los requisitos es $365.

Sí quieres aprender más, puedes leer:

https://brainly.com/question/8742631

Step-by-step explanation:

=8^5×8×8^2

=32768×8×64

=16777216

hope it helps

Answer:

[tex] {8}^{5} \times 8 \times {8}^{2} = 16777216[/tex]

Step-by-step explanation:

[tex] {8}^{5} = 32768[/tex]

[tex]8 = 8[/tex]

h

that is all

========================================

Explanation:

Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.

Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.

Since angle 3 is 55 degrees,  angle 1 is also 55 degrees.

--------------

Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)

In other words,

(angle ABJ) + (angle ABF) = 180

angle ABF = 180 - (angle ABJ)

angle ABF = 180 - (angle 1)

angle ABF = 180 - (55)

angle ABF = 125 degrees