Answer:
Maya used a drawing to divide 86. She made groups of 17 with 1 left over. Draw a picture to determine how many groups Maya made.
Step-by-step explanation:
It might be the wrong answer! Sorry
Answer: Yes
Step-by-step explanation:
x>=8-3
x>=5
Answer:
$300
Step-by-step explanation:
Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.
C + L = 360
C - 2/5 C = L + 2/5 C
Simplifying the second equation:
3/5 C = L + 2/5 C
1/5 C = L
Substituting into the first equation:
C + 1/5 C = 360
6/5 C = 360
C = 300
Connor originally had $300, and Luisa $60. Connor gave Luisa $120, and they both had $180.
ANSWER
The length of the altitude is
units
<u>EXPLANATION</u>
The altitude of a triangle is the vertical height of the triangle.
From the diagram the altitude is ![a](https://tex.z-dn.net/?f=a)
Method 1: We can use Pythagoras theorem to find ![a](https://tex.z-dn.net/?f=a)
![6^2=a^2+3^2](https://tex.z-dn.net/?f=6%5E2%3Da%5E2%2B3%5E2)
![6^2-3^2=a^2](https://tex.z-dn.net/?f=6%5E2-3%5E2%3Da%5E2)
![36-9=a^2](https://tex.z-dn.net/?f=36-9%3Da%5E2)
![27=a^2](https://tex.z-dn.net/?f=27%3Da%5E2)
We take the square root of both sides,
![\sqrt{27}=a](https://tex.z-dn.net/?f=%5Csqrt%7B27%7D%3Da)
![\sqrt{9\times3}=a](https://tex.z-dn.net/?f=%5Csqrt%7B9%5Ctimes3%7D%3Da)
![\sqrt{9} \times \sqrt{3}=a](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%20%5Ctimes%20%5Csqrt%7B3%7D%3Da)
![3\sqrt{3}=a](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D%3Da)
Method 2 Using Trigonometry
![sin(60\degree)=\frac{a}{6}](https://tex.z-dn.net/?f=sin%2860%5Cdegree%29%3D%5Cfrac%7Ba%7D%7B6%7D)
![6sin(60\degree)=a](https://tex.z-dn.net/?f=6sin%2860%5Cdegree%29%3Da)
![a=6\times \frac{\sqrt{3}} {2}](https://tex.z-dn.net/?f=a%3D6%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%20%7B2%7D)
![a=3\sqrt{3}](https://tex.z-dn.net/?f=a%3D3%5Csqrt%7B3%7D)