Solve for x and y please!

Answers

Answer 1

Answer:

Answer:

$x = 8$

$y=2√(3)$

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

$x^2 =4^2 + (4√(3))^2$

Now we solve for x

$x=\sqrt{4^2 + (4√(3))^2}$

$x=√(16 +16*3)\n\nx=√(64)\n\nx=8$

Let's call z at the angle opposite to y

Then we have that:

$sin(z) =(opposite)/(hypotenuse)$

Where

$hypotenuse = 8$

$opposite=4$

$sin(z) =(4)/(8)$

$z=sin^(-1)((1)/(2))$

$z=30$

Now we use this angle to find the length y

$sin(z) =(opposite)/(hypotenuse)$

Where in this case

$hypotenuse = 4√(3)$

$opposite=y$

$z=\°30$

$sin(30\°) =(y)/(4√(3))$

$y=sin(30\°)*4√(3)$

$y=2√(3)$

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Round 73.45 to the nearest whole number

Answers

The nearest whole number is 3 and that is under 5 so you round down. So than your answer will be 73

The answer is 73. 4 is below 5, so you do not have to add one.

What expression is equvialent to -6 (-2/3 + 2x)?

Answers

Answer:

the answer is −

12+4

Step-by-step explanation:

i hope this helps

1). Write 658.129 in expanded form 2). Write <,>,or = to make the statement true 2929.87 ? 2929.087. 3). Round 8.61 to the nearest tenth 4). 521.09-148.75= PLEASE HELP???????????????

Answers

1. 600 +50 +8 + 0.1+ 0.02+ 0.009
2. >
3. 8.60
4. 521.09 - 148.75 its = 372.34

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Zach1

IDK BECAUSE THIS IS HARD STUFF

If 45 cookies will serve 15 students, how many cookies are needed for 30 students?I think i have it but not sure

Answers

The above question has to do with proportionality, specifically direct proportionality.

Direct proportionality means when an item x is directly proportional to an item y. This is represented mathematically as:

x ∝ y

90 cookies will serve 45 students.

The number of cookies needed for 30 students is 90 cookies

From the above question,

45 cookies will serve 15 students

Hence,

15 students = 45 cookies

30 students = ?

Cross Multiply

30 students x 45 cookies / 15 students

= 90 cookies.

Therefore, 90 cookies will serve 45 students.

To learn more, visit the link below:

brainly.com/question/18536567

Because your numbers are simple in this question, you can look at it this way...

You know how many cookies are needed for 15 students but you need to fiqure out how many for 30 students. The ratio between 15 to 30 is a 1:2, AKA double. THis means that you can simply double the known number of cookies and it will give you the amount that you need for double the people.
Your answer is 90 cookies.

Write words to match the expression 3 + (4x12)