You answer is 8. That's because 6+6+6+6+6+6+6+6=48
Notice that the 6 is added 8 times.
Think: "what's the greatest common factor of both 36 and 60?"
12
Divide both #s by 12 and put them in fraction form.
36 ÷ 12 = 3
60 ÷ 12 = 5
3/5 is your final answer.
Answer:
C. 12m
Explanation:
Let the length of the shorter arm = x
Since the length of the longer arm is equal to twice the length of the shorter arm;
• The length of the longer arm = 2x
• The area of triangle ABD = 18√3 m².
Given a triangle with two sides and the included angle, the area of the triangle is calculated using the formula below:
![\begin{gathered} \text{Area}=\frac{1}{2}ab\sin \theta \\ \implies\text{Area of triangle ABD =}\frac{1}{2}bd\sin A \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7Dab%5Csin%20%5Ctheta%20%5C%5C%20%5Cimplies%5Ctext%7BArea%20of%20triangle%20ABD%20%3D%7D%5Cfrac%7B1%7D%7B2%7Dbd%5Csin%20A%20%5Cend%7Bgathered%7D)
Therefore:
![18\sqrt[]{3}=\frac{1}{2}(x)(2x)\sin (60\degree)](https://tex.z-dn.net/?f=18%5Csqrt%5B%5D%7B3%7D%3D%5Cfrac%7B1%7D%7B2%7D%28x%29%282x%29%5Csin%20%2860%5Cdegree%29)
We solve for x.
![\begin{gathered} 18\sqrt[]{3}=\frac{2x^2}{2}\times\sin 60\degree \\ 18\sqrt[]{3}=x^2\times\frac{\sqrt[]{3}}{2} \\ \text{Multiply both sides by }\frac{2}{\sqrt[]{3}} \\ 18\sqrt[]{3}\times\frac{2}{\sqrt[]{3}}=x^2\times\frac{\sqrt[]{3}}{2}\times\frac{2}{\sqrt[]{3}} \\ x^2=36 \\ x^2=6^2 \\ x=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2018%5Csqrt%5B%5D%7B3%7D%3D%5Cfrac%7B2x%5E2%7D%7B2%7D%5Ctimes%5Csin%2060%5Cdegree%20%5C%5C%2018%5Csqrt%5B%5D%7B3%7D%3Dx%5E2%5Ctimes%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%20%5C%5C%20%5Ctext%7BMultiply%20both%20sides%20by%20%7D%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%20%5C%5C%2018%5Csqrt%5B%5D%7B3%7D%5Ctimes%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%3Dx%5E2%5Ctimes%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ctimes%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%20%5C%5C%20x%5E2%3D36%20%5C%5C%20x%5E2%3D6%5E2%20%5C%5C%20x%3D6%20%5Cend%7Bgathered%7D)
Multiply x by 2 to get the length of the longer arm:
![2x=2\times6=12m](https://tex.z-dn.net/?f=2x%3D2%5Ctimes6%3D12m)
The length of the longer arm is 12m.
C is the correct option.
Answer:
x=1
Step-by-step explanation:
3x-y=3
y=3-3x
9x-3y=9
9x-3(3-3x)=9
9x - 9 + 9x=9
9x + 9x=9 + 9
18x=18
x=18÷18
x=1
Answer:
i do believe it is 18.2
Step-by-step explanation:
cross multiply 10/6.5 28/x