Robin earned $4,320 in 9 weeks and worked 40 hours in each week. How much did he earn per hour?

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

Up 8 Units, Hope this helps :)

Answer:

x=21

Step-by-step explanation:

[tex]x-5=16[/tex]

[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)

[tex]x=21[/tex]

Answer:

its B

Step-by-step explanation:

Answer:

Perimeter = 18m

Area = 18m²

Step-by-step explanation:

On a rectangle, opposite sides have equal lengths. This means to find the perimeter you would do (3 × 2) + (6 × 2) which is 6 + 12 = 18

The perimeter is 18m

To find the area, you would do length × width. The length is 6 and the width is 3 so 6 × 3 is 18

The area is 18m²

Hope this helps!

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

In this problem:

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at https://brainly.com/question/24450834

Answer:

1/274

Step-by-step explanation:

Solution 1: Use a fraction simplifier calculator :)

Solution 2: divide by 2 first, then test to find 13, and your there.

Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964    2. 274

Step-by-step explanation:

1. If we do 26 divided by 7124 answer is = 0.0036496350364964  ( check the pic-div1, div2, div3 )

2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

Answer:

x= 55

y=125

Step-by-step explanation:

y = 180 - 55

hope it's correct

Answer:

-10 × -10= 100

dkfofjdnrjf

Answer:

scalene because all the angles are different in an isosceles triangle 2 angles are the same

Answer:

Scalene triangle

Step-by-step explanation:

the answer is the scalene triangle

Answer:

x= 3

Step-by-step explanation:

I hope this helps but if there are options lmk

Answer:x= -2

Step-by-step explanation:

Answer:

f(m) = -9

Step-by-step explanation:

We replace m with 5 in the function.

f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)

then we solve the numbers in the parenthesis first

= 1 - 4 (5/2)

= 1 - 4 (2.5)

= 1 - 10

= -9

Answer:

32

Step-by-step explanation:

Answer:

The answer will be -5

You are welcome:)

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

The smallest degree is15°

Answer:

482.3

Step-by-step explanation:

because 137.8 times 3.5 is

482.3

Answer:

15_789(0)

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Cost price of the T.V. is :

The scooter cost him :

The solution is in attachment ~

Hello!

Answer:

21.6

Steps:

7.20 increase 200% =

7.20 × (1 + 200%) = 7.20 × (1 + 2) = 21.6

Answer:

13.125 meters

Step-by-step explanation:

7/8 times 15

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

The Perimeter of the Parallelogram is:

[tex]64ft[/tex]

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

Answer:

1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)

Step-by-step explanation:

If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5

Answer:

44.785

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

hope this helps you with the question

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m