She plays soccer and golf for a total of 125 minutes:
s + g = 125
She plays soccer 45 minutes more than she plays golf:
s = g + 45 this is for A
B= 40 minutes of golf everyday
C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.
I hope this helps!
Answer:
What the english?
Step-by-step explanation:
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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)
Divide both sides by 5 since there are 5 friends, you would get 5x-23.
Step-by-step explanation:
(-2/6)+(24-1/6)
-2+23/6
21/6