We can set this up as a proportion and then solve for x directly:
![\frac{27}{3} =\frac{y}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B3%7D%20%3D%5Cfrac%7By%7D%7B2%7D%20%20)
Then we cross multiply and divide by the coefficient of y:
![54=3y](https://tex.z-dn.net/?f=%2054%3D3y%20)
![y=18](https://tex.z-dn.net/?f=%20y%3D18%20)
Now we know y = 18 when x =2.
Answer: ![\bold{(A): g=\dfrac{\sqrt{15}}{2},\quad h=\dfrac{\sqrt{5}}{2}}](https://tex.z-dn.net/?f=%5Cbold%7B%28A%29%3A%20g%3D%5Cdfrac%7B%5Csqrt%7B15%7D%7D%7B2%7D%2C%5Cquad%20h%3D%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D%7D)
<u>Step-by-step explanation:</u>
This is a special triangle because the side lengths have the following relationship:
30° ⇄ side length "a" <em>represented as "h" in your picture</em>
60° ⇄ side length "a√3" <em>represented as "g" in your picture</em>
90° ⇄ side length "2a" <em>represented as "√5" in your picture</em>
<u>Step 1: solve for "a" </u> <em>hypotenuse (2a) is given as √5</em>
![2a=\sqrt{5}](https://tex.z-dn.net/?f=2a%3D%5Csqrt%7B5%7D)
![a=\dfrac{\sqrt{5}}{2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D)
According to your picture, a = h, so ![h=\dfrac{\sqrt{5}}{2}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D)
<u>Step 2: use the a-value from Step 1 to solve for the remaining side</u>
![g=a\sqrt{3}](https://tex.z-dn.net/?f=g%3Da%5Csqrt%7B3%7D)
![=\bigg( \dfrac{\sqrt{5}}{2}\bigg)\sqrt{3}](https://tex.z-dn.net/?f=%3D%5Cbigg%28%20%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D%5Cbigg%29%5Csqrt%7B3%7D)
![=\dfrac{\sqrt{15}}{2}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Csqrt%7B15%7D%7D%7B2%7D)
Answer:
Step-by-step explanation:
Answer:
the number of beads in the display is 1,728
Step-by-step explanation:
The computation of the number of beads in the display is shown below:
= Number of bags of beads × each bag beds
= 36 × 48
= 1,728
Hence, the number of beads in the display is 1,728
We simply multiply the two digits
The answer is B. -a+4+5a-a-6