If abc avw find the values of x and y

liq [111]

Answer:

$\frac{2\sqrt{2} }{3}$

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

$\sqrt{9-1}=\sqrt{8}=2\sqrt{2}$

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

$\frac{2\sqrt{2} }{3}$

6 0

2 years ago

Read 2 more answers

Maria Krisp, a licensed physical therapist assistant, earns an hourly

Masteriza [31]

9514 1404 393

Answer:

straight time: $699.20
overtime: $165.60
total pay: $864.80

Step-by-step explanation:

(a) Maria's straight time pay is ...

(38 h)×($18.40 /h) = $699.20

__

(b) Maria's overtime pay is ...

(6 h)×(1.5×$18.40 /h) = $165.60

__

(c) Her total pay is the sum of her straight time pay and her overtime pay:

$699.20 +165.60 = $864.80

8 0

2 years ago

A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commis

DedPeter [7]

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $ $x$

As per question statement:

Salary as per Plan 1 = $500 + 4% of $x$

Salary as per Plan 2 = 8% of $x$

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of $x$ = 8% of $x$

$\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500$

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

4 0

2 years ago

Can u pls fix the grammer in this Choose the correct punctuation marks in the passage.

MissTica

Answer:

It was a rainy day , but Joan and I had planned a trip. Joan wanted to go to the beach for a swim. I wasn't sure if we should go.

"I think we should wait a little longer , at least until the rain shows some signs of slowing down," I suggested.

"We can't swim without getting wet anyway," replied Joan, questioning my choice of swimsuit , the one my mom had bought at a secondhand store.

Step-by-step explanation:

5 0

3 years ago

6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :

$y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2$

So, now we can write the full expression for the parabola:

$y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3$

8 0

2 years ago