Write and solve an equation to answer the question.

85% of what number w is 10.2?

Answer:

[tex]9 - 4\sqrt{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan60° = [tex]\sqrt{3}[/tex]

tan45° = 1

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]

[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]

[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]

[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]

[tex]9 - 4 * \sqrt{2}[/tex]

[tex]9 - 4\sqrt{2}[/tex]

130% of 90 gallons

= (130/100) × 90 gallons

= 117 gallons

So, total number of gallons

= 130 + 117

= 247

Answer:

V ≈ 254.5 in³

Step-by-step explanation:

The volume (V) of the cylindrical tube is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

O si se desea un número entero:

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Answer:

The total cost = $1,099

It would take 100 days

Step-by-step explanation:

Let

x = number of days

Cost of BT&T Cellular = 899 + 2x

Cost of Revizon Electronics = 799 + 3x

Equate the cost of both cell phone services.

899 + 2x = 799 + 3x

899 - 799 = 3x - 2x

100 = x

x = number of days = 100 days

Cost of BT&T Cellular = 899 + 2x

= 899 + 2(100)

= 899 + 200

= $1,099

Cost of Revizon Electronics = 799 + 3x

= 799 + 3(100)

= 799 + 300

= $1,099

T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

Answer:

55

Step-by-step explanation:

55 has both its tens and units the same and when you reverse it, it is still 55 hence 55+55 is 110

Given : The tens and units digit of the number are the same

Let the given number be : NN

Given : When the number is added to its reverse, the sum is 110

As the tens and units digit of the number are same, the reversed number is also : NN

⇒   NN + NN = 110

⇒   2NN = 110

⇒   NN = 55

Answer: The Number is 55

Answer:

sin c

Step-by-step explanation:

Based on the figure, The true equations are, B. cos48° = b/c,

C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, The sum of all the interior angles in a triangle is 180°.

So, The m∠B = 180° - 90° - 48° = 42°.

Now according to reference angles, we'll obtain the trig ratios.

cos42° = a/c.

cos48° = b/c.

sin42° = b/c.

sin48° = a/c.

tan42° = b/c.

tan48° = a/c.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ7

Answer:

Step-by-step explanation:

Number 5

Answer:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

Hope this helps!! :))

Answer:

$19,000

Step-by-step explanation:

The original or initial price of the car = discount price + amount by which the car was reduced

$16,000 + $3000 = $19,000

The percentage decrease in price = (amount discounted / original price) x 100

( $3000 / $19,000) x 100 = 15.79%

Answer:

D. (5,3)

Step-by-step explanation:

The solution is (x,y). so in this case, you find the point where both arrows meet.

on the x-axis, which is positive right 5, and positive 3 up, on the y-axis

Answer:

(5,3)

Step-by-step explanation:

The solution set is where the two lines cross

The lines cross at x = 5  and y = 3

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]

Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]

Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

Answer:

71%

Step-by-step explanation:

hydrosphere and biosphere both make sense, but from many searches, it says that at least 70% of Earths SURFACE is covered in water (not describing how deep the water is), so the greatest estimate yet would be 71%

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

Answer:

-3   -2

-2   0

-1   6

3  10

4  12

Step-by-step explanation:

f(x)=2x+4

Let x = -3  f(-3) = 2*-3 +4 = -6+4 = -2

Let x = -2  f(-2) = 2*-2 +4 = -4+4 = 0

Let x = -1  f(1) = 2*1 +4 = 1+4 = 6

Let x = 3  f(3) = 2*3 +4 = 6+4 = 10

Let x = 4  f(4) = 2*4 +4 = 8+4 = 12

Hope this help!!!

Have a nice day!!!

Answer:

B.

[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

Answer:

The number of employees work in clothing is 1260.

Step-by-step explanation:

Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?

Total workers = 1620

employees works for clothing = 7/9

So, the number of employees = 7/9 x 1620 = 1260

Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.

Sabemos que hay un total de 1,620 trabajadores en la empesa textil.

7/9 de ellos trabajan en confección.

Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:

N = (7/9)*1,620 = 1,260

1,260 trabajadores trabajan en confección.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12668006

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

Answer:

170°

Step-by-step explanation:

The total degrees of a circle is 360°. So the math is pretty straight forward.

130 + 60 = 190           (First you find what the known degrees are together)

360 - 190 = 170          (Next you take that added total and subtract it from 360)

x = 170                        (And there you go! Your answer!)

I hope this helped :)