Marc's living room is a rectangle that measures 32 feet long by 35 feet wide. What is the area of the living room?

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]

64,872 rounded to the nearest hundred should be 64,900

Answer:

64900

Step-by-step explanation:

Look at number after hundred's place

if its 5 or higher round up

if its 4 or less round down

Answer: Así que harás radio multiplicado por 2 y luego diámetro multiplicado por pi, que es 3,14, así que básicamente diámetro multiplicado por pi

Step-by-step explanation:

Answer:

La circunferencia de un círculo es la distancia alrededor del círculo. Se podría llamar perímetro del círculo.

Como encontrar la circunferencia de un círculo:

La circunferencia de un círculo se puede averiguar multiplicando pi ( p= 3.14) por el díametro del círculo.

Si un círculo tiene un diámetro de 4, su circuferencia es 3.14*4=12.56

Si conoces el radio, el diámetro es dos veces su largo.

Answer:

9 pi

Step-by-step explanation:

If the radius is 12, then the diameter would be 24 and the entire circle would be 24 pi.

24 times 3/8= 9

I used 3/8 because the unit circle has a circumference of 2pi so I divided it by 2.

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:

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:

sinA = - [tex]\frac{\sqrt{5} }{\sqrt{6} }[/tex]

Step-by-step explanation:

Given

tanA = - [tex]\frac{\sqrt{5} }{1}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with opposite = [tex]\sqrt{5}[/tex], adjacent = 1 and

hypotenuse h² = ([tex]\sqrt{5}[/tex] )² + 1² = 5 + 1 = 6 ⇒ h = [tex]\sqrt{6}[/tex]

Since tanA < 0 and cosA > 0 then A is in the 4th quadrant where sinA < 0

Then

sinA = - [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{\sqrt{5} }{\sqrt{6} }[/tex]

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!! :))

130% of 90 gallons

= (130/100) × 90 gallons

= 117 gallons

So, total number of gallons

= 130 + 117

= 247

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

Hope this help!!!

Have a nice day!!!

Answer:6

2+2+2=6

I hope it helps :)

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:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]h(t)=-16t^2+v_0t+h_0[/tex] where

h(t) is the height of the ball after a certain amount of time has gone by,

-16t² is the pull of gravity in ft/s/s,

v₀t is the initial upwards velocity, and

h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:

[tex]h(t)=-16t^2+128t+4[/tex] where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

Answer:

√65

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 5)² + (-6 - 1)²

√(4)² + (-7)²

√(16) + (49)

√65

= 8.06

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:

parallelogram

Step-by-step explanation:

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:

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:

ANSWER

C.

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

EXPLANATION

We want to multiply;

(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x

2

+5x+1)(x

2

−2x+4)

We use the distributive property to obtain:

3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x

2

(x

2

−2x+4)+5x(x

2

−2x+4)+1(x

2

−2x+4)

We expand to get:

3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x

4

−6x

3

+12x

2

+5x

3

−10x

2

+20x+x

2

−2x+4

Regroup similar terms:

3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x

4

−6x

3

+5x

3

+12x

2

−10x

2

+x

2

+20x−2x+4

Combine similar terms:

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

The correct choice is C.

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

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

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

Answer:

Step-by-step explanation:

Number 5

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 :)