How do I solve for x and y?

Answer:

x = 67° (nearest whole degree)

Step-by-step explanation:

Sine Rule

[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]

where A, B and C are the angles, and a, b and c are the sides opposite the angles

Given information

From inspection of the triangle:

Finding x:

Substitute given values into the formula and solve for x:

[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]

[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]

[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]

[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]

[tex]\sf \implies x=67.44208077...[/tex]

Final Solution

x = 67° (nearest whole degree)

Answer:

∠x = 67°

Step-by-step explanation:

From the Law of Sines,

we know that :

Here we have :

On substituting,

Answer:

No, not all of them are correct.

Step-by-step explanation:

The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.

In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

c=0.12m

Step-by-step explanation:

Okay, so to find the relation between minutes and cost is by dividing them, specifically cost over minutes. Cost = x amount of dollars per minute (m). This can be written with any of the given amounts. 60 = x(500) then 60/500 = x = 0.12

Answer:

  x = 3/8

Step-by-step explanation:

The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.

  a² -b² = (a -b)(a +b)

For the given squares, this is ...

  (2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x

We want to find x that makes this difference be 9:

  24x = 9

  x = 9/24 = 3/8

For the value x = 3/8, the difference between the squares of the binomials will be 9.

Answer:

54 seats

Step-by-step explanation:

To make it easier, I'll put it like this.

Row    |    Seats

 1        |      24

 2       |      30

 3       |      36

 4       |      42

 5       |      48

 6       |      54

(Add 6, because each row has 6 more seats than the row in front of it.)

So, the 6th row has 54 seats.

Hope this helped !

Answer:

120

Step-by-step explanation:

The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:

[tex]\frac{10!}{3!(10-3)!}=120[/tex]

This means that you can make 120 three-vegetable plates

Answer:-1

Step-by-step explanation:

5x+7=2

5x=5

X=1

Answer: 65/63

Step-by-step explanation:

The cosecant of angle N is the reciprocal of the sine of angle N.

Using SOHCAHTOA, the sine of angle N is 63/65.

This means that the cosecant of angle N is 65/63.

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> [tex]\frac{3}{6} =\frac{1}{2}[/tex]

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

Answer:

No picture

Step-by-step explanation:

Answer:

$864

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a trapezium.

The formula od an area of a trapezium:

A = 1/2(a + b) · h

We have:

a = 10, b = 6, h = 8

substitute:

A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64

Answer:

A = 64 sq. un

Step-by-step explanation:

6 * 8 + (4 * 8)/2 =

48 + 4 * 4 =

48 + 16 =

64

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\dfrac{1}{4} - 2\dfrac{3}{10}}\\\\\mathsf{\rightarrow \dfrac{6\times4+1}{4} - \dfrac{2\times10+3}{10}}\\\\\mathsf{\rightarrow \dfrac{24 + 1}{4} - \dfrac{20 + 3}{10}}\\\\\mathsf{\rightarrow \dfrac{25}{4} - \dfrac{23}{10}}\\\\\mathsf{\rightarrow \dfrac{79}{20}}\\\\\mathsf{\approx 3\dfrac{19}{20}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option\ C. \ 3 \dfrac{19}{20}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Hey there!

First, let's convert 4 into a fraction: 4/1

Now, multiply fractions:

1/4*4/1=1

is 1 greater than 4? of course not.

let's try Option B:

5/6*4/1

5 times 4 and 6 times 1

20/6

reduce the fraction

10/3

or

3+1/3 (less than 4)

Is it Option C? Let's try/

3/2*4/1

3 times 4 and 2 times 1

12/2

6

and 6 is greater than 4. Bingo!

How about Option D?

9/10*4/1

9 times 4 and 10 times 1

36/10

18/5

Hence, the answer is

[tex]\boxed{\boxed{\bold{option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

Answer:

549.8 inches³

Step-by-step explanation:

Volume of Cylinder = height × base, where base = [tex]\pi[/tex]r².

The radius (r) is given, 5 inches, and so is the height, 7 inches.

We simply substitute these values into the equation.

V(volume)  = 7 × [tex]\pi[/tex] × 5²

                  = 175[tex]\pi[/tex]

                  = 549.77871437821...

when we round that to the nearest tenth,

                  ≈ 549. 8

disclaimer: I'm not 100% sure if this is correct

9.66, or 10 if you rounded it up

I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0

I hope this helps! if not, i am deeply sorry, friend.

,SivethTheDragon

The Average Daily Balance for Julia's credit card in April is approximately $846.33.

Here, we have,

To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:

Set 1: April 1 to April 9 (9 days)

The balance remains at $300 because no purchases were made during this period.

Set 2: April 10 to April 17 (8 days)

Julia makes a purchase of $250 for groceries on April 10.

Therefore, the balance for these 8 days is $300 + $250 = $550.

Set 3: April 18 to April 22 (5 days)

Julia makes a purchase of $800 for a new phone on April 18.

Therefore, the balance for these 5 days is $550 + $800 = $1350.

Set 4: April 23 to April 30 (8 days)

Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.

To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:

(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days

= ($2700 + $4400 + $6750 + $11440) / 30

= $25390 / 30

= $846.33 (rounded to the nearest cent)

Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.

To learn more on division click:

brainly.com/question/21416852

#SPJ4

Use the formula shown:

6^2 + 2.5^ = c^2

36 + 6.25 = c^2

42.25 = c^2

Take the square root of both sides:

c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)

Cities are pretty far from each other so you would have to use miles

Answer: the answer is d which is Miles .

Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

Answer:

14

Step-by-step explanation:

5+5=10 and 7+7=14 and 14+10=24

Answer:

divide fifty out of one hundred times thirty. so x equals to fifteen hours

Answer:

38.4 km

Step-by-step explanation:

Use a proportion.

1 cm is to 12 km as 3.2 cm is to x km.

1/12 = 3.2/x

1 × x = 12 × 3.2

x = 38.4

Answer: 38.4 km

Answer: $ 27.27

Step-by-step explanation:

Answer:

62.59

Step-by-step explanation:

Answer:

(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)

Step-by-step explanation:

You just plug the x into the equation. And then BAM the answer is right.

Answer:

x= 4

y= 9

so in that case (x,y) would be (4,9)

then you go down to the x axis and go to 4.

then you go up 9 and that is your first point

same thing for the rest of them so it would be (6,3)

(1,3)

(8,7)

(8,9)

Answer:

Step-by-step explanation:

The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.

Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:

= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)

= 100.88 square feet

4 boxes will have a total surface area of

100.88*4

= 403.52 square feet

Each pint of paint covers 50 square feet so a total of

403.52/50 = 8.07 or

9 pints is needed.

Answer:

20units^2

Step-by-step explanation:

Answer:

20units^2

Step-by-step explanation: