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Naddika [18.5K]
3 years ago
13

A right-angle triangle, with two sides adjacent to the right angle labeled x and y respectively, and the hypotenuse is labeled 1

2 times square root of 3. The angle between the hypotenuse and the side labeled x measures 30 degrees. Find the values of $x$ and $y$ . Write your answers in simplest form.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

y = 6(sq rt 3)

x = 18

Step-by-step explanation:

y = (0.5)(12)(sq rt 3) = 6(sq rt 3)

x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324

reduced

x = 18

You might be interested in
Which polynomial expression represents the area of the outer most square tile, shown below?
Andrew [12]

ANSWER

{x}^{2}  - 6x + 9

EXPLANATION

The outermost square tile has side length,

l = x - 3

The area of a square is given by;

Area= {l}^{2}

We substitite the given expression for the side length into the formula to obtain,

Area= {(x - 3)}^{2}

Area= {(x - 3)}(x - 3)

We expand using the distributive property to obtain;

Area=x {(x - 3)} - 3(x - 3)

This gives us:

Area= {x}^{2}  - 3x - 3x  + 9

Area= {x}^{2}  - 6x + 9

The last choice is correct.

7 0
3 years ago
Read 2 more answers
A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. What is the least number of balls nevessary to t
anzhelika [568]

Answer:

7 balls

Step-by-step explanation:

Look for the worst case scenario:

Get 3 white, 2 green, and 1 black.

That adds up to: 3 + 2 + 1 = 6.

+1 red ball: 6 + 1 =7

7 balls

5 0
1 year ago
Find the answers from the questions that are shown below
KengaRu [80]

Answer:

diameter = IJ

radius = KH or IH or JH

chord = LM

length HK = 2

Step-by-step explanation:

if IJ is the diameter and the radius is KH then r must be 2 as the radius is always half the diameter

5 0
3 years ago
1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
Sladkaya [172]

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

3 0
3 years ago
Read 2 more answers
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