2 years ago

What is the length of YZ in XYZ

Mathematics

1 answer:

Studentka2010 [4]2 years ago

3 0

AZ=12 - is hypotenuse

∠XZY=30° ⇒

$XY=\dfrac{1}{2} \times12=6$

$\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}$

You might be interested in

Which expression is equivalent to 64y^18 - 1000z^6 ?

Stella [2.4K]

Answer:

$8(8y^{18} -125z^{16})$

Step-by-step explanation:

4 0

2 years ago

• Is this a parallelogram?<br> • Defend your answer.

Vlad1618 [11]

Answer:

No, but it is a Rhombus.

Step-by-step explanation:

Hope this Helps.

7 0

2 years ago

What the answer pls tell me pls I need this for middle school thx you soooooo much

ololo11 [35]

It is basically : 0.600 + 0.03 + 0.002

5 0

2 years ago

Find the lowest common denominator 3x^3y^2 and 18xy^3

Katyanochek1 [597]

$3x^3y^2=(3)(x)(x)(x)(y)(y)\\\\18xy^3=(3)(3)(2)(x)(y)(y)(y)\\\\Answer:(3)(3)(2)(x)(x)(x)(y)(y)(y)=18x^3y^3$

7 0

2 years ago

Subtract: 4x/x^2-25 - 2/x^2+2x-15

Alex777 [14]

Answer: $\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}$

Step-by-step explanation:

Given

Subtract the expression

$\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}$

4 0

2 years ago