All categories

3 years ago

Find the length of XY. Imported Asset 4 8 16 11.3

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Answer: 8 (The second option).

Step-by-step explanation:

1. To solve this exercise you draw a line to a point O, this lines will bisect the angle of Z∠60°. Then will obtain two into two right triangles with two angles of 30° at the point Z.

2. The lenght XY will be twice the lengt XO or YO.

3. Let's calclate XO as following:

$sin(30)=\frac{XO}{8}\\XO=4$

4. Then, XY is:

$XY=2XO\\XY=2*4\\XY=8$

You might be interested in

For the schools sports day a group of students prepared 21 1/2 lbs of lemonade at the end of the day they had 2 5/8 lbs left ove

Ludmilka [50]

I think the answer is 9 1/4

8 0

3 years ago

Read 2 more answers

Help I don't know what to choose

Lunna [17]

Answer:

Step-by-step explanation:

We know a triangle adds up to 180 so:

75+36+ ? = 180

111+ ? =180

? = 69

To find out x, we know that a straight line adds up to 180 so again:

x +69 = 180

x = 111

8 0

3 years ago

Read 2 more answers

3х - 30 = у 7y - 6 = 3х

mars1129 [50]

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y and the second is 7y – 6 = 3x

As I look, I see 3 ways to use substitution to solve this:

substitute 7y – 6 for 3x
substitute 3x – 30 for y
solve 3x – 30 = y for 3x and make it equal to 7y – 6

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

Method 1:

3x – 30 = y

7y – 6 = 3x — initial system of equations

7y – 6 – 30 = y — substitute 7y – 6 for 3x

7y – 6 – 30 = y — marking like terms, bold for constants, underlined for variables

7y – 36 = y — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.

7y – 7y – 36 = y – 7y — subtract 7y from both sides

–36 = –6y — simplify

–36 ÷ –6 = –6y ÷ –6 — divide by –6 on both sides

y = 6 — simplify

Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x

I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3x – 30 = y — initial equation

3x – 30 = 6 — substitute 6 for y

3x – 30 + 30 = 6 + 30 — add 30 to both sides to isolate 3x

3x = 36 — simplify the expression

3x ÷ 3 = 36 ÷ 3 — divide both sides by 3 to isolate x

x = 12 — simplify

So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.

7y – 6 = 3x — original equation

7(6) – 6 ≟ 3(12) — substitute 6 for y and 12 for x

42 – 6 ≟ 36 — simplify by multiplying

36 = 36 ✔ — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

8 0

3 years ago

1.Which coordinates are not of the vertices of the feasible region for the system of inequalities?

astraxan [27]

2. I think the answer is 24

subracting the last 2 inequalities we get

6x + 7y <= 42
3x + 2y <= 18 subtract:_-
3x + 5y <= 24

3 0

3 years ago

Test for the commutative property of union and intersection of the sets P = { x : x is all real numbers between 2 and 7} and Q =

In-s [12.5K]

Answer:

Step-by-step explanation:

P = {x : x is a real number between 2 and 7}

{x: 3,4,5,6}

Q = {x : x is all rational number between 2 and 7}

{4 }

We know that P contains all the rational numbers between 2 and 7.

And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.

{3,4,5,6}

Here Q is the proper subset of P

P ∩ Q = Q ∩ P = Q= {4}

4 0

3 years ago