1) Alicia's gross monthly pay is $1,700.
Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90

Answer:

Area of a circle=Πr²

Getting r from:

circumference of a circle=2Πr

30.1 =2(3.14)r

30.1 =6.28r

4.8 =r

Area=3.14(4.8)²

=3.14(23.04)

=72.3

The area of the circular shaped plate is given by A = 71.536 inches²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circular plate be r

Now , circumference of a circle is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:

30.1 = 2πr

Solving for r:

r = 30.1 / (2π)

r ≈ 4.788 inches (rounded to three decimal places)

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Plugging in the value of r:

A = 3.14 x ( 4.788 )²

A ≈ 71.536 inches²

Hence , the area of the circular plate is approximately 71.536 square inches

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Answer:

•12.12

•56.92

Step-by-step explanation:

•Sin 30° = x ÷ 14√3

x=14√3 *Sin30

x=7√3

x=12.12

•Tan30°=6√3÷x

x=6√30 ÷Tan 30

x=18√10

x=56.92

Answer:

negative 5

Step-by-step explanation:

4-9= -5

Answer:

7 and -6   (corresponding to Answer C)

Step-by-step explanation:

Solve x(x - 1) = 42 for x.  

To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:

x^2 - x - 42 = 0

Factoring yields (x - 7)(x + 6) = 0,

leadng to roots 7 and -6   (corresponding to Answer C)

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Answer:

28 across and 21 down ( I think, cant really read the numbers)

Answer:

17 days

Step-by-step explanation:

Number of days in which 3 men can finish a house repair job = 10 days

Number of days in which 1 man can finish a house repair job = [tex]\frac{10}{3}[/tex] days

Therefore,

Number of days in which 5 men can finish a house repair job = Number of days in which 1 man can finish a house repair job × 5

[tex]=\frac{10}{3}(5)=\frac{50}{3}=16.6[/tex] ≈ 17 days

Answer:

2.49

Step-by-step explanation:

Given  X= 58

N = 175.

P = 25% = 0.25.

[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]

Now plugging the values we get

[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]

=2.49

Answer:

x wouild equal

ywould equal

Step-by-step explanation:

eqaution

Answer:

I u⁣ploaded t⁣he a⁣nswer t⁣o a f⁣ile h⁣osting. H⁣ere's l⁣ink:

Step-by-step explanation:

Answer: yes

Step-by-step explanation: think about it

Answer:

B is the answer.

Step-by-step explanation:

Use power rule: (x^a)^b = x^ab.

[tex] {6}^{21} [/tex]

Answer:

b. 6²¹

Step-by-step explanation:

(6⁷)³=(6³)⁷===> 6²¹

Answer:

Step-by-step explanation:

nis fn m

v vm

vrdac

Answer:

area of shaded portion = 226.09 m²

Step-by-step explanation:

area of circle = πr² = (3.14)(18.6²) = 1086.314 m²

area of 123° segment = (123/360)(1086.314) = 371.157 m²

cos 61.5° = height/18.6 = 8.875

height of triangle = 8.875 m

sin 61.5° = 1/2base/18.6 = 16.346,   base = 32.692 m

base of triangle = 32.692 m

area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²

area of shaded portion = 371.157 - 145.071 = 226.09 m²

Answer:

it is 1 I agree

Step-by-step explanation:

I don't know tho

Answer:

50.87 : 66.13.

Step-by-step explanation:

10/(10+13) * 117

= 10 * 117 / 23

= 50.87.

117 - 50.87 = 66.13.

When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.

Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13

Then, we get two equations as:

[tex]x + y = 117[/tex]

[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]

From the second equation, we get x in terms of y as:

[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]

Putting this value of x in first equation, we get:

[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)

And therefore, from the expression for x, we get:

[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)

Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

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Answer:

plain = $10.50

pepperoni = $12.50

Step-by-step explanation:

x = pepperoni

y = plain

3x + 2y = 58.5

2x + 4y = 67

using substitution method, I multiplied the first system by -2 to get:

   -6x - 4y = -117

+   2x + 4y =  67

-4x = -50

x = $12.50

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = $10.50

Answer:

3.25%

Step-by-step explanation:

2520/2000=1.26

1.26-1=.26

.26/8=.0325

.0325*100=3.25%

Answer:

The length of the side TU is approximately 29.9 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{x} =\frac{sin(42^{o})}{20}[/tex] ⇒ [tex]\frac{x}{sin(90^{o})} = \frac{20}{sin(42^{o})}[/tex] ⇒ [tex]x=\frac{20*sin(90^o)}{sin(42^{o})}[/tex] ⇒ [tex]x=29.9ft.[/tex]

Answer:

Ok since u want to learn ill teach you :)

Get your 3 points and then your do this

Example= 3 power of 2 plus 5 power of 2

Then ur gonna add and get your answer hope this helps

(if u still don't get it ill just give u the answer)

7.2

Step-by-step explanation:

Hope u kinda got a good start on this :)

Pregunta completa:

1. La empresa transporta 198 toneladas de cable de acero, desde la ciudad de Arequipa hasta Cuzco, utilizando el servicio de dos camiones, donde la capacidad del camión “A” es de 9 toneladas y la capacidad del camión “B” es de 2/3 de la capacidad del camión “A”, si se realizaron un total de 27 viajes, responda las siguientes preguntas:

a) ¿Cuántos viajes hizo cada camión?

b) ¿Cuántas toneladas de cable metálico transportó el camión de mayor capacidad?

c) ¿Qué parte del total de toneladas transportadas corresponde al camión de menor capacidad?

d) Suponiendo que deba recibir una factura por el servicio de transporte, ¿cómo se debe completar la factura?

Considere la siguiente tarifa de transporte por viaje.

Respuesta:

Camión A = 12 viajes

Camión B = 15 viajes

Camión A = 108 toneladas

Camión más pequeño = 90 toneladas = 5/11 del total de toneladas

Camión A = 13230

Camión B = 11036.25

Explicación paso a paso:

Capacidad del camión A = 9 toneladas

Capacidad del camión B = 2/3 * 9 = 6 toneladas

Total viajes realizados = 27

Toneladas totales de cable de acero a transportar = 198

Sea el número de viajes realizados por

Camión A = a; Camión B = b

a + b = 27 ____ (1)

9a + 6b = 198 __ (2)

Den (1)

a = 27 - b

Ponga un en (2)

9 (27 - b) + 6b = 198

243 - 9b + 6b = 198

243 - 3b = 198

-3b = - 45

b = 45/3

b = 15

a = 27 - 15

a = 12

El camión A tiene la mayor capacidad = 12 viajes * 9 toneladas por viaje = 108 toneladas

Toneladas transportadas por camión de menor capacidad = 15 viajes * 6 toneladas = 90 toneladas

90 toneladas / 198 toneladas = 5/11 del total de toneladas

Tarifa por viaje:

Camión “A” S / .1102,5

Camión “B” S / .735,75

Por eso,

Camión A = 1102.5 * 12 = 13230

Camión B = 735,75 * 15 = 11036,25

Answer:

20ft

Step-by-step explanation:

Answer:  16.5

Step-by-step explanation:

Base: 11

Height: 3

Area of triangle = bh/2

11x3=33

33/2= 16.5

Answer:

100°

Step-by-step explanation:

If my calculations are correct, I suppose the final answer will be 100 degrees.

If you see it, It's clearly mirrored.

Answer:

32

Step-by-step explanation:

Answer:

Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.

Step-by-step explanation:

The parent function for the "V-shape" is y=|x|.  This particular function is translated to the left two units and down one.  This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1.  If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.

Answer:

The answer is 40/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

245

Answer:

Step-by-step explanation: