Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.

__

  Sin = Opposite/Hypotense

  sin(48°) = 15/o

  o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)

  Cos = Adjacent/Hypotenuse

  cos(48°) = b/o

  b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51

For triangle BOX, o = 20.18, b = 13.51.

__

  Sin = Opposite/Hypotense

  sin(25°) = i/30

  i = 30·sin(25°) ≈ 12.68

  Cos = Adjacent/Hypotenuse

  cos(25°) = n/30

  n = 30·cos(25°) ≈ 27.19

For triangle TIN, i = 12.68, n = 27.19.

Answer:

he has to pay 4980$ in tax So its C) 4,980

The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

An electrician has an income of $41,500.

The income tax the electrician has to pay is 12%.

Then the amount of income tax that the electrician has to pay will be

Amount of income tax = 0.12 × $41500

Amount of income tax = $ 4980

Thus, the amount of income tax that the electrician has to pay is $4980.

More about the percentage link is given below.

https://brainly.com/question/8011401

17 (1/5) × 17,5 = 301

,..,.

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

[tex]x+5[/tex]

[tex]x^{1-1} [/tex]

[tex]x^{0} [/tex]

[tex] = 1 [/tex]

─────────────────────┈

[tex](2x + 3)[/tex]

[tex]2x^{1-1} [/tex]

[tex]2x^{0} [/tex]

[tex]2\times 1 [/tex]

[tex] = 2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

More earnings:-

Total earnings this year

Answer:

[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]

Step-by-step explanation:

Given:

Last year: $x

Determining the money earned for this year:

This year = 25%   more than       last year

               = $25x/100   +                    $x

               = $x/4           +                 $4x/4

The expression that represents the money earned this year is $x/4 + $4x/4.

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

To get more about the sector visit:

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Answer:

its c

Step-by-step explanation:

Answer:

set of numbers that cannot be represented in form of a/b

examples square root of 2, 3, 5 and 6

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

Answer:

C. 0.5..................

Answer:

[tex]w=8[/tex]

Step-by-step explanation:

[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]

Answer:

w = 8

Step-by-step explanation:

2(2w − 16) = 0

Divide each side by 2

2w-16 = 0

Add 16 to each side

2w-16 +16 =0 +16

2w = 16

Divide each side by 2

2w/2 = 16/2

w = 8

Answer:

0, -6, -12, -18

Step-by-step explanation:

start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.

please give brainliest!!!!

Answer:

[tex]\fbox{Gradient of curve = -6}[/tex]

Step by step explanation:

Given:

Equation of curve ↦ xy = 6

Point ↦(1,6)

To find:

The gradient of curve = ?

Solution:

[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]

Taking log both the side,

[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]

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Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

[tex]\sf{\sqrt{2x-3}=x-3}[/tex]

2x-3=x²-6x+9

Solve.

[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

36/2^x

Step-by-step explanation:

= 4 X 9 x 1/2^x

= 36/2^x

Answer:

7.96

Step-by-step explanation:

C=2πr undo it

R=C/2π=50/2×π≈7.5775 rounded is 7.96

Hope this helps!

Have a nice day!! :D

The radius of the circle is 7.96 cm.

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is usually denoted by ‘R’ or ‘r’.

The circumference of the circle is given by;

[tex]\rm Circumference = 2\pi r[/tex]

Where r is the radius of the circle.

Substitute all the values in the formula

[tex]\rm Circumference = 2\pi r\\\\50 = 2\pi r\\\\r = \dfrac{50}{2\times 3.14}\\\\r=7.96[/tex]

Hence, the radius of the circle is 7.96 cm.

To know more about the radius of the circle click the link given below.

https://brainly.com/question/11137975

[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]

Thus the second option is the correct answer

Answer:

116 2/3 liters of milk

Step-by-step explanation:

4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk

I hope this was good enough. Happy mathing!

Answer:

energy

Step-by-step explanation:

Answer:

energy

Step-by-step explanation:

I believe that y is equal to -5.

y=-5

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

Answer:

Division is the opposite of multiplication

Step-by-step explanation:

Opposites:

Addition and subtraction

multiplication and division

differentiation and integration.

Answer:

like fractions have the same denominator. So A is correct

4 years

[tex]per\ year\ earn:2000\times 5\%=100[/tex]

[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]

I hope this helps you

:)

Answer:

4 years

Step-by-step explanation:

Given data

Simple interest= $400

Principal= $2000

Rate= 5%

The simple interest formula is given as

SI=PRT/100

substitute and solve for T

400=2000*5*T/100

cross multiply

400*100= 10000*T

40000=10000T

T= 40000/10000

T= 4 years

Hence the time taken is 4 years

Answer:

x = -2 and 1

Step-by-step explanation:

Given :

f(x) = x+2

g(x) = -x²+4

The solution to the equation f(x) = g(x)

=> x+2 = -x²+4

=> x²+x = 4-2

=> x²+x -2 = 0

By factorisation

=> x²+2x-x -2 = 0

=> x(x+2) -1(x+2)

=> (x+2) (x-1)

x = -2 and 1

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

5²=25

hence the different prime numbers are 2 and 3

The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Given that, Nidah writes down two different prime numbers.

She adds together her two numbers.

Her answer is a square number less than 30

Square numbers less than 30 are = 1, 4, 9, 16, 25

The pairs of numbers that can satisfy the given condition are;

2 + 7 = 9

2 +23 = 25

3 + 13 = 16

5 + 11 = 16

Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)

For more reference on Prime numbers, click;

https://brainly.com/question/15048606

#SPJ2

Answer:

QUienn quieres ser mi ami

Step-by-step explanation:

xd

Bonjour,

πr² *h

3,14 * 3² *8

= 3,14 *9 *8

=>226, 08 ....²

Answer:

66π square units

Step-by-step explanation: